Test Hypotheses about a Population Proportion
-A nationwide survey claimed that at least $50 \%$ of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at $\alpha = 0.5$ ?
A) You would need 41 or less parents to support spanking to refute the claim.
B) You would need exactly 41 parents to support spanking to refute the claim.
C) You would need 42 or less parents to support spanking to refute the claim.
D) You would need more than 41 parents to support spanking to refute the claim.

Question

Quizplus · Accepted Answer

To refute the claim that at least 50% of parents condone spanking, you would need a sample result significantly lower than 50%. If 41 or fewer out of 100 parents support spanking, this would be significantly less than the 50% claimed, indicating a rejection of the claim at a significance level of $\alpha = 0.5$. However, there seems to be a misunderstanding in the question regarding the significance level, as typically $\alpha$ values are set much lower (e.g., 0.05, 0.01) to indicate the probability of rejecting a true null hypothesis.

Test Hypotheses About a Population Proportion -A Nationwide Survey Claimed 50%50 \%50%

Test Hypotheses About a Population Proportion
-A Nationwide Survey Claimed $50 \%$