QUESTION 4 0.5 points Save Answer Progressive Insurance would like to test the h

Question

QUESTION 4 0.5 points Save Answer Progressive Insurance would like to test the hypothesis that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th grade drivers who text. A random sample of 160 12h grade students found that 84 texted while driving, A random sample of 175 11th grade students found that 70 texted while driving, If Population 1 is detined as 12th grade drivers and Population 2 is detined as 11th grade dives,the pooled estimate for the overall proportion is_ 0460 0.611 0.506 0.780 QUESTION 5 0.5 points Save Answer Progressive Insurance would like to test the hypothesis that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11h grade drivers who text. A random sample of 160 12*hgrade students found that 84 texted while driving, A random sample of 17511th grade students found that 70 texted while driving If Population 1 is detined as 12th grade drivers and Population 2 is detined as 11th grade drivers, the correct hypothesis statement for this hypothesis test would be H0'1. 2 s 0; H1: 1-2 »D QUESTION 6 0.5 points Save Answer A cola manufacturer invited consumers to take a blind taste test. Consumers were asked to decide which of two sodas they preferred. The manufacturer was also interested in whether gender plays a role in taste preferences. they found 45 out of 109 males surveyed preferred their brand ove the competitor and 13 out of 52 females preferred their brand. Suppose the manufacturer wanted to test to determine if the males preferred its brand more than the females. Using the data given, compute the appropriate p-value for the test 0340 4651 0221 2119

Explanation / Answer

Solution:

From the given information

Question 4
n1 = 160, n2 =175
X = 84, Y = 70
p1 = 84/160 = 0.53
p2 = 70/175 = 0.4
Sample proportions:
p = (n1p1 + n2p2)/(n1+ n2)
= (160* 0.53 + 175* 0.4) /(160+ 175)
= 0.4621
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Question 5

Hypothesis test:
H0: 1- 2 = 0; H1: 1- 2 0

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