Question

A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. at the 0.05 significance level, test the claim that the two proportions are equal. what are the hypotheses?

Answer 1

To test the claim that the two proportions are equal, we can use a hypothesis test. The null hypothesis states that the proportions are equal, while the alternative hypothesis states that they are not equal.

Step-by-step explanation:

To test the claim that the two proportions are equal, we can use a hypothesis test. Let's define the following:

1. p1 = proportion of people who attend religious service at least once a week and stopped to help a person with car trouble
2. p2 = proportion of people who did not attend religious service at least once a month and stopped to help a person with car trouble

The null hypothesis (H0) states that p1 and p2 are equal, while the alternative hypothesis (Ha) states that they are not equal. Therefore, the hypotheses are:

H0: p1 = p2

Ha: p1 ≠ p2