Fay read an article that said 26% of Americans can speak more than one language. She was curious if this
figure was higher in her city, so she tested H, : p=0.26 vs. H : p > 0.26, where p represents the
proportion of people in her city that can speak more than one language.
She found that 40 of 120 people sampled could speak more than one language. The test statistic for these
results was 2 1.83.
Assuming that the necessary conditions are met, what is the approximate P-value for Fay's test?
You may round to three decimal places.
P-value

Answers

Answer 1

Answer:

0.0336

Step-by-step explanation:

the hint says so

Answer 2

According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.

How to find the p-value of a test?

It depends on the test statistic z, as follows.

For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z.

In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.

The test statistic is z = 1.83, which has a p-value of 0.966.

1 - 0.966 = 0.034.

Hence, the approximate p-value for Fay's test is of 0.034.

You can learn more about p-values at brainly.com/question/13873630


Related Questions

15 km= _______ meters

Answers

Answer: 15000 meters

Step-by-step explanation:

Answer:

15000 meters

Step-by-step explanation:

1000 meters per kilometer

Select two equations of lines that are perpendicular to the line whose equation is x + 5y = 50. I need help please.

Answers

Answer:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

The equation of the line is:

[tex]x + 5y = 50[/tex]

Placing in the standard format:

[tex]5y = -x + 50[/tex]

[tex]y = -\frac{x}{5} + 10[/tex]

The slope is [tex]-\frac{1}{5}[/tex]

Slope of the perpendicular lines:

[tex]-\frac{m}{5} = -1[/tex]

[tex]m = 5[/tex]

So

[tex]y = 5x + b[/tex]

Attributing two values to b:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Which OF THESE IS THE QUADRATIC PARENT FUNCTION!?!
A. f(x)=x
B. f(x)2^×
C. f(x)=lxl
D. f(x)=x^2​

Answers

Answer:

D. f(x)=x^2​

Step-by-step explanation:

How many quarters are there in 57

Answers

Answer:

228 quarters in $57

2 quarters in 57 cents

Step-by-step explanation:

An archer hits his target 80% of the time. If he shoots 7 arrows, what is the probability of each event

Answers

Answer:

The probability is that he hits 5.6 out of 7 attempts.

Step-by-step explanation:

Given that an archer hits his target 80% of the time, if he shoots 7 arrows, to determine what is the probability of each event, the following calculation must be performed:

7 x 80/100 = X

560/100 = X

5.6 = X

Therefore, the probability is that he hits 5.6 out of 7 attempts.

One of the legs of a right triangle measures 10 cm and its hypotenuse measures 17 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Square roots of 17^2-10^2
=13.74772708
= 13.7 the nearest tenth

PLEASE HELP QUICK!!

Rachel works for a clothing store. She is paid $150 every week plus a 10% commission on any clothes that she sells. Which of the following is true in regards to Rachel's weekly paycheck?


A. $100 in clothing sales gives Rachel a $250 paycheck

B. $1,100 in clothing sales gives Rachel a $260 paycheck

C. $4,200 in clothing sales gives Rachel a $420 paycheck

D. $16,000 in clothing sales gives Rachel a 1,450 paycheck

Answers

Answer:

A-false  B-true  C-false  D-false

Step-by-step explanation:

We just have to calculate a lot!

A.

100*10%=10

10+150=160

NOPE

B

1100*10%=110

110+150=260

YUP

C

4200*10%=420

420+150=570

NOPE

D

16000*10%=1600

1600+150=1750

NOPE

All false I just had this question on test

Write the coordinates of the vertices after a translation 9 units left and 5 units down.
10

Answers

X= 5 x= -9 y = -10 if this not the answer reverse it

17 students said they enjoy summer the most.

4 of the girls said they enjoy winter.

The ratio between boys and girls is 8 : 11.

The probability of picking a student at random who enjoys Summer is 38

Twice as many of the girls chose summer over spring.

7 boys chose summer.

Autumn was chosen by 3 more boys than girls.

The probability of picking a boy at random who chose spring is 18.75%

Answers

Answer:

Step-by-step explanation:

17 students chose summer, 7 boys

Girls that chose summer= 17-7=10

Twice Girls chose summer over spring= 10÷2 =5

5 Girls chose spring, 4 Girls enjoy winter

An airplane flies at an altitude of 6 miles toward a point directly over an observer. Consider and x as shown in the figure.
(a) Write as a function of x.
(b) Find when x = 11 miles and x = 4 miles. (Enter your answers in radians rounded to two decimal places.)

Answers

Answer:

20.7 I hope this is right good luck

An important problem in industry is shipment damage. A electronics distribution company ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. A random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. Select a 99% confidence interval for the true mean of damaged items.
a) [48.26, -30.02]
b) [10.67, 11.93]
c) [-0.6285, 0.6285]
d) [10.69, 11.91]
e) [11.37, 12.63]
f) none of the above

Answers

Answer:

the answer is b) (10.67,11.93)

Step-by-step explanation:

hope this helps

At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets to this basketball game and 1 souvenir for
a total of $17.25. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs
for a total of $42.00. How much was a ticket to this game?

Answers

Answer:

the answer will be 7.50

Step-by-step explanation:

Point Q is the center of dilation. Rectangle H I J K is dilated to create rectangle H prime I prime J prime K prime. The length of H prime I prime is 32 inches. The length of I prime J prime is 24 inches. Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the original photo? 3 × 8 6 × 8 12 × 16 18 × 24

Answers

Answer:

it is 6 x 8

Step-by-step explanation:

100%

The dimensions, in inches, of the original photo are 6 x 8.

We have given that,

Point Q is the center of dilation.

Rectangle H I J K is dilated to create rectangle H prime I prime J prime K prime.

The length of H prime I prime is 32 inches. The length of I prime J prime is 24 inches.

Sylvia enlarged a photo to make a 24 x 32-inch poster using the dilation DQ,4.

We have to determine the dimensions, in inches, of

the original photo 3 × 8 6 × 8 12 × 16 18 × 24

What is the dimension?

Dimensions in mathematics are the measure of the size or distance of an object or region of space in one direction.

The dimensions, in inches, of the original photo is 6 x 8.

To learn more about the dimension visit:

https://brainly.com/question/26740257

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What is the slope of the two points (-20,-4), (-12,-19)

Answers

2.28 or fraction form 2 7/25
Hope that helped

Oliva works 4 hours each week more than lily

Answers

Answer:

12 hours

Step-by-step explanation:

First it’s every 2 weeks so divide by 2 to find 1 week and get 16 hours a week then subtract 4 hours cause olivia works 4 more per week and u get 12 hours so Lily works 12 hours a week ;)

sorry if wrong have a good day/night

may i please have a branllest

upon graduating from college, Ashley took a job with the starting salary of $40,000. She can expect a 6% raise pay and pay each year. How long will it take to earn $60,000 per year.

NO LINKS!!!!​

Answers

Answer:

Ashley is 7 years old.

and its step by step

What is the slope of a line perpendicular to the line whose equation is 2x + 2y = 28. Fully simplify your answer.​

Answers

2x+2y=28
Change equation to y= mx+b format
2y=-2x+28
Divide everything by 2
y=x+14
The slope of the line perpendicular to above equation is -1

Or
y=-x+14

The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars yields a mean weight of 55.82 gm.
(a) State the hypotheses to test whether the mean is smaller than it is supposed to be.
(b) What is the test statistic?
(c) At α = .05, what is the critical value for this test?
(d) What is your conclusion?

Answers

Answer:

|z(s)| <  |z(c)|

Then  z(s) is in the acceptance region we accept H₀.

We don´t have evidence to support that candy bar mean weight is below 56 gm

Step-by-step explanation:

Goal mean     μ  =  56 gm

standard deviation   σ  = 0,77

From random sample:

mean    x  = 55,82

sample size  n  = 49

We assume a normal distribution ( is a manufacturing controlled process)

a) Hypothesis Test:

Null Hypothesis                         H₀          x   =  μ

Alternative Hypothesis             Hₐ           x  <  μ

Alternative hypothesis is telling us that the test is a one-tail test to the left

as n > 30 we use the normal distribution.

b)  z(s) =  ( x  -  μ  ) / σ / √n

z(s)  =  55.82  -  56 ) * 7 / 0,77

z(s)  = 0,18*7/0,77

z(s)  =  - 1.6363

c)  if  significance level is α  = 0.05  then  α/2 = 0,025

Then from  z table, z  score for  0,025     z(c) = -1.96

d)  Comparing  z(c)  and z(s) modules

|z(s)| <  |z(c)|

Then  z(s) is in the acceptance region we accept H₀.

We don´t have evidence to support that candy bar mean weight is below 56 gm

please help school is literally about to end

Answers

Answer:

192 is the answer

Step-by-step explanation:

Answer:

SA = 272 sq in

Step-by-step explanation:

SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)

= 2(16) + 2(96) + 2(24)

= 32 + 192 + 48

= 272 sq in

Lauren took her cat Tommy to the veterinarian, who said
that at 22 pounds, Tommy was overweight. The vet put
Tommy on a diet, and two months later, the cat weighed
19 pounds. What was the percent of change in Tommy's
bodyweight?

Answers

Answer:

15.79

Step-by-step explanation:

brainliest answer fast please

Answers

Answer:

1/20

Step-by-step explanation:

lcf: 20

1/4- 1/5

1x5/20- 1x4/20

   =5-4/20

  =1/20

find the product of the complex numbers.express your answer in trigonometric form

z1=7(cos15°+isin15°) z2=2(cos110°+isin110°)

Answers

The product of the complex number z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°) is z₁z₂ = 14(cos(125) + isin(125)]

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°)

z₁z₂ = (7 * 2)[cos(15 + 110) + isin(15 + 110)]

z₁z₂ = 14(cos(125) + isin(125)]

The product of the complex number z₁ = 7(cos15° + isin15°) and z₂ = 2(cos110°+isin110°) is z₁z₂ = 14(cos(125) + isin(125)]

Find out more on equation at: https://brainly.com/question/2972832

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kelly will roll a number cube labeled 1 to 6. what is the probability kelly will roll a number greater than 3?

Answers

Answer:

%50

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex], 50%, or 0.5.

Step-by-step explanation:

Well, there are six possible outcomes, and we are looking for the probability of getting a number greater than three. There are three possible outcomes of getting a number greater than three, which makes the probability of getting the desired outcome look somewhat like the following fraction:

[tex]\frac{3}{6}[/tex] (or simplified, [tex]\frac{1}{2}[/tex])

Anyways, now that we have the outcome in the form of a fraction, we can convert it to percent (50%) or decimal form (0.5).

Hope this wasn't too complicated! Feel free to let me know in the comments if you want me to elaborate. ^-^

Can someone please help me I will mark u brilliant for both answers

Answers

Step-by-step explanation:

Athe question is wrong

At a city council meeting, there 101 people present, and 66 were elderly.
If you talked to six random people there, what is the percent chance that exactly three is elderly? (Round
to the nearest hundredth of a percent.)

Answers

Answer:

23.63% chance that exactly three is elderly

Step-by-step explanation:

The people are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

101 total people means that [tex]N = 101[/tex]

Sample of 6 means that [tex]n = 6[/tex]

66 elderly means that [tex]k = 66[/tex]

If you talked to six random people there, what is the percent chance that exactly three is elderly?

This is P(X = 3). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,101,6,66) = \frac{C_{66,3}*C_{35,3}}{C_{101,6}} = 0.2363[/tex]

0.2363*100% = 23.63%

23.63% chance that exactly three is elderly

If 2^2x = 2^3, what is the value of x?

Answers

Answer:

x = 3/2

Step-by-step explanation:

2^2x = 2^3

2x = 3

x = 3/2

Pls, help!!!
In 1846 the depth of the river was 5 feet deep.
In 1847 it dropped to 4.3 feet.
This year, 1848, it rose to 6 feet.

Find the percent change from EACH CHANGE

Answers

Hello!
First, 5 to 4.3 feet, to make it a bit easier, let’s multiply by 2, now we have 10 and 8.6. Since 8.6 - 10 = -1.4, the river dropped 14% in 1846-1847.
Second, we will find the change from 4.3 to 6, and 6 - 4.3 = 1.7, but we need to multiply it by 1.66…7, which approximately equals a 28.32% gain. Hope this helped ☺️
28.32%, that would be the answer

15 POINTS**
Write an explicit formula an, the nth term of the sequence 27,-3,-33,-63

Answers

Answer:

The nth term is 27 - 30(n-1) or can be simplified to 57 - 30n.

Step-by-step explanation:

This is an arithmetic sequence (ie. each term equals the previous term with a constant value added (or subtracted from it)

T1 = 27

T2 = -3 = T1 - 30 = 27 - 30

T3 = -33 = T2 -30 = 27 -30 - 30=27-30X(2)

T4= -63 = T3 - 30 =27-30X(2)-30=27-30X(3)

In general, the nth term of this sequence:

S(n) = 27 - 30X(n-1)

Dwane has a collection of stamps. He arranges them in 5 rows with 6 stamps in each row. 25 of the stamps are a rare edition. How many rare edition stamps does Dwane have?

Answers

Answer:

Dwane has 25 rare edition stamps, or 5/6.

Step-by-step explanation:

The question is basically answered in the problem.

It says, "25 of the stamps are a rare edition."

And the question is, "How many rare edition stamps does Dwane have?"

So, 25 is the answer.

Hope this helps!

Natalie draws an acute triangle.


Which attributes describe her triangle?


Select each correct answer.



one right angle


exactly one acute angle


polygon


exactly three acute angles


three straight sides


exactly 2 acute angles



I will give brainliest!!!

Answers

Polygon, 3 straight sides
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