Consider the following to answer the question(s) below:
An advertising agency has developed a new ad for one of the national car manufacturing companies. The agency is interested in testing whether the proportion of favourable responses to the ad is the same between male and female adults. It conducted the test using an alpha level of 0.05. A sample of 100 adults of each gender was used in the study. Each person was asked to view the ad and indicate whether they found the ad to be "pleasing" or not. The samples resulted in 57 males and 47 females that liked the ad.
-The appropriate null and alternative hypotheses are

Question

Consider the following to answer the question(s) below:
An advertising agency has developed a new ad for one of the national car manufacturing companies. The agency is interested in testing whether the proportion of favourable responses to the ad is the same between male and female adults. It conducted the test using an alpha level of 0.05. A sample of 100 adults of each gender was used in the study. Each person was asked to view the ad and indicate whether they found the ad to be "pleasing" or not. The samples resulted in 57 males and 47 females that liked the ad.
-The appropriate null and alternative hypotheses are
A) H0 : p1 = p2 and HA : p1 ≠ p2.
B) H0 : p1 = p2 and HA : p1 > p2.
C) H0 : p1 > p2 and HA : p1 ≠ p2.
D) H0 : p1 ≠ p2 and HA : p1 = p2.
E) H0 : p1 = p2 and HA : p1 < p2.

Quizplus · Accepted Answer

The appropriate null hypothesis in this scenario would be that there is no difference in the proportion of favourable responses between male and female adults. The alternative hypothesis is that there is a difference in the proportion of favourable responses between the two groups. Choice A represents this set of hypotheses, with "p1" representing the proportion of males who find the ad pleasing and "p2" representing the proportion of females who find the ad pleasing. Additionally, using an alpha level of 0.05 suggests a two-tailed test, which is also represented in Choice A with "HA : p1 ≠ p2."

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