A sample of 300 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 to 65 mph, whereas a sample of 171 rural residents yielded 78 who favored the increase. Does this data indicate that the sentiment for increasing the speed limit is different for the two groups of residents?(a) Test H0: p1 = p2 = 0 versus Ha: p1 = p2 = 0 using a = 0.05, where p1 refers to the urban population. (Round your test statistic to two decimal places and your P-value to four decimal places.)z = P-value = State the conclusion in the problem context.A. Reject H0. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of residents.B. Fail to reject H0. The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents. C. Fail to reject H0. The data does not suggest that the sentiment for increasing the speed limit is different for the two groups of residents.D. Reject H0. The data suggests that the sentiment for increasing the speed limit is different for the two groups of residents.(b) If the true proportions favoring the increase are actually p1 = 0.24 (urban) and p2 = 0.40 (rural), what is the probability that H0 will be rejected using a level 0.05 test with m = 297, n = 189? (Round your answer to four decimal places.)

Answer and explanation:

Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same

Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different

Where p1 is the first population proportion =65/297= 0.22

And p2 is the second population proportion = 78/189= 0.41

P= p1+p2/n1+n2= 65+78/297+189= 0.29

Hence H0= p1-p2=0

Ha=p1-p2≠0

Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)

= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)

= -4.49

Critical value at 95% significance level= 1.96( from tables)

We therefore reject null hypothesis as critical value is greater than test statistic

Therefore the sentiment for increasing speed limit in the two populations is different

b. at proportions of 0.24 and 0.40 for p1 and p2 respectively

Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)

= -3.78

P value is 0.0002 at 0.05 significance level

Hence probability =0.4998

718.012 in expanded form and written form

What is 4.5 x 10 to the -6th power in standerd notation

Help me out hereeeeeeeeeeeeee

I NEED HELP ASAP ILL MARK BRAINLEST

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Please do the check for me, anyone.

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x. y
-2 -8
-1 -4
0 0
1 4
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B. 7.8 ⋅ 106
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Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. The student considers two methods for collecting data.

Method A: At the start of the assignment, students choose a font, either Times New Roman or Comic Sans, and then complete the assignment.

Method B: At the start of the assignment, students are randomly assigned one of two fonts, either Times New Roman or Comic Sans, and then complete the assignment.

In both methods, the teachers grade the papers received, and the mean grade for each font is determined.

Which method describes an experiment?

Method A is an experiment because the students choose their own font.
Method B is an experiment because the students are randomly assigned a font.
Both methods describe experiments because both fonts are used on the assignment.
Neither method describes an experiment because a third font should be included for comparison.

For each situation, determine the slope and y-intercept of the graph of the equation that describes the situation. Jennifer is 30 miles north of her house, and she is driving north on the highway at a rate of 45 miles per hour. Find the slope and the y-intercept. Pls help me fast

18 + 0.25 = ?


bdhfhfhbcvch​

183 1/3 % of 108 i am just saying these extra letters cause it says too short please make this message 20 characters long

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1.35 + 0.12 = 1.47 : 1.47 < 1.5

Find the perimeter of the rectilinear below.

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scatter plot shows the amount of snow that fell in feet and the elevation in thousands of feet.

Choose the conclusion that is best supported by the data shown in the scatter plot.


A.There is no relationship between the amount of snowfall and elevation.

B.As elevation increases, the amount of snowfall decreases.

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D.As elevation increases, the amount of snowfall increases.

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x -1
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Julio is playing a trivia game. On his first turn, he lost 100 points. On his second turn, he lost 60 points. On his third turn, he lost 80 points. Enter a sum of three negative integers that models the change to Julio's score after his first three turns. Enter the sum in the order of his turns.

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HELP ASAP I NEED THIS TODAY ONLY I WILL MARK BRAINLIEST