If we want to conduct a two-tail test of a population proportion,we can employ: A)z-test of a population proportion. B)the chi-squared test of a binomial experiment since z² = χ². C)the chi-squared test of a contingency table. D)Both a and b

Question

Quizplus · Accepted Answer

A z-test of a population proportion is appropriate for testing hypotheses about a population proportion when the sample size is large enough to meet the necessary assumptions. The chi-squared test of a binomial experiment can also be used for this purpose, as it can be shown that the square of a z-test statistic follows a chi-squared distribution with one degree of freedom, making both A and B correct. The chi-squared test of a contingency table is not directly used for testing a single population proportion, making C incorrect. Therefore, both A and B are correct, leading to D as the correct answer.

If We Want to Conduct a Two-Tail Test of a Population