Questions: Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance α using the given sample statistics. Claim: p ≠ 0.21 ; α=0.01; Sample statistics: p̂=0.15, n=160 Can the normal sampling distribution be used? A. No, because nq is less than 5. B. Yes, because both np and nq are greater than or equal to 5. C. Yes, because pq is greater than α=0.01. D. No, because np is less than 5. State the null and alternative hypotheses. A. H0: p=0.21 Ha: p ≠ 0.21 B. H0: p ≤ 0.21 Ha: p>0.21 C. H0: p ≥ 0.21 Ha: p<0.21 D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical value(s) is/are . (Round to two decimal places as needed. Use a comma to separate answers as needed.) B. The test cannot be performed.
Transcript text: Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance $\alpha$ using the given sample statistics.
Claim: $p \neq 0.21 ; \alpha=0.01$; Sample statistics: $\hat{p}=0.15, n=160$
Can the normal sampling distribution be used?
A. No, because $n q$ is less than 5 .
B. Yes, because both np and nq are greater than or equal to 5 .
C. Yes, because pq is greater than $\alpha=0.01$.
D. No, because np is less than 5 .
State the null and alternative hypotheses.
A. $H_{0}: p=0.21$ $H_{a}: p \neq 0.21$
B. $H_{0}: p \leq 0.21$
\[
H_{a}: p>0.21
\]
C. $H_{0}: p \geq 0.21$
\[
H_{a}: p<0.21
\]
D. The test cannot be performed.
Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The critical value(s) is/are $\square$ .
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
B. The test cannot be performed.
Solution
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