Question

formulate the indicated conclusion in nontechnical terms. be sure to address the original claim.
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.
there is not sufficient evidence to support the claim that the true proportion is less than 21 percent.
there is sufficient evidence to support the claim that the true proportion is greater than 21 percent.
there is not sufficient evidence to support the claim that the true proportion is greater than 21 percent.
there is sufficient evidence to support the claim that the true proportion is less than 21 percent.

Explanation:

Step1: Identify hypotheses

The claim is \( p > 0.21 \) (alternative hypothesis). Null hypothesis: \( p = 0.21 \).

Step2: Interpret conclusion

Failure to reject the null means no sufficient evidence for the alternative claim (\( p > 0.21 \)).

Answer:

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