Question

A newsletter publisher believes that more than 74% of their readers own a personal computer. Is there sufficient evidence at the 0.10 level to substantiate the publisher's claim?

A) Null hypothesis: p ≤ 0.74; Alternative hypothesis: p > 0.74
B) Null hypothesis: p ≥ 0.74; Alternative hypothesis: p < 0.74
C) Null hypothesis: p = 0.74; Alternative hypothesis: p ≠ 0.74
D) Null hypothesis: p < 0.74; Alternative hypothesis: p ≥ 0.74

Answer 1

The correct answer is A) Null hypothesis: p ≤ 0.74; Alternative hypothesis: p > 0.74.

Step-by-step explanation:

The correct answer is A) Null hypothesis: p ≤ 0.74; Alternative hypothesis: p > 0.74.

In hypothesis testing, the null hypothesis (H0) represents the belief or assumption that we want to test, while the alternative hypothesis (Ha) represents the claim we are trying to substantiate. In this case, the newsletter publisher's claim is that more than 74% of their readers own a personal computer.

Since the claim is that the proportion is greater than 74%, it means we are testing a one-tailed hypothesis, with p > 0.74 being the alternative hypothesis. The null hypothesis would be that p ≤ 0.74. Therefore, answer choice A is the correct one.