Question

A psychologist claims that more than 21 percent of the population suffers from professional problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

Answer 1

Answer:

B) There is not sufficient evidence to support the claim that the true proportion is less than 21 percent.

Explanation:

According to a different source, these are the options that come with this question:

A) There is sufficient evidence to support the claim that the true proportion is less than 21percent.

B) There is not sufficient evidence to support the claim that the true proportion is less than 21percent.

C) There is sufficient evidence to support the claim that the true proportion is greater than 21percent.

D) There is not sufficient evidence to support the claim that the true proportion is greater than 21percent.

This would be the best way to explain what this conclusion means. The hypothesis states that more than 21% of the population suffers from professional problems due to extreme shyness. Moreover, the null hypothesis states that there is no meaningful relationship between two measured phenomena. If we "fail to reject" the hypothesis, this means that we do not have evidence that shows that the hypothesis is not true. Therefore, we can claim that there is not sufficient evidence to support the claim that the true proportion is less than 21 percent.