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(b) When performing a large-sample significance test for a population proportion

ID: 3434245 • Letter: #

Question

(b) When performing a large-sample significance test for a population proportion, the t distribution is used to compute the P-value.

A) A P-value is not calculated when performing a large-sample significance test for a population proportion. B) The t distribution is only used for small samples.    

C) Use Normal distributions (and a z test statistic) for significance tests involving proportions.

D) A significance test cannot be used for data that describe population proportions.

E) The P-value is calculated using the t distribution for a small-sample significance test.


(c) A significance test is used to evaluate H0: p? = 0.2 versus the two-sided alternative.

A) We do not use null or alternative hypotheses with proportions. p? will never have a proportion of 0.2.    

B) We are actually testing the alternative hypothesis, so it should be Ha: p? = 0.2.

C) Since we are evaluating H0: p? = 0.2, this is a one-sided test, not a two-sided test.

D) H0 should refer to p (the population proportion), not p? (the sample proportion).

Explanation / Answer

C) Use Normal distributions (and a z test statistic) for significance tests involving proportions.

D) H0 should refer to p (the population proportion), not p? (the sample proportion).