amonitas3zeb

2022-03-24

Let ${p}_{1}$= population proportion for population 1, ${p}_{2}$= population proportion for population 2, ... and ${p}_{k}$= population proportion for population k. Consider the following null hypothesis: ${H}_{0}$: ${p}_{1}$=${p}_{2}$=...=${p}_{k}$. Which of the following statements is correct?
a. The alternative hypothesis to the null hypothesis stated above must be: ${H}_{\alpha }$: Not all population proportions are equal.
b. If the sample data and the chi-square test computations indicate ${H}_{0}$ cannot be rejected, we cannot detect a difference among the k population proportions.
c. If the sample data and the chi-square test computations indicate ${H}_{0}$ can be rejected, we have the statistical evidence to conclude that one or more population proportions differ from the other population proportions.
d. All of the above.

Option d) is correct.
All of the above.
a) The alternative hypothesis to the null hypothesis stated above must be: ${H}_{\alpha }$: Not all population proportions are equal.
b)If the sample data and the chi-square test computations indicate ${H}_{0}$ cannot be rejected, we cannot detect a difference among the k population proportions.
c)If the sample data and the chi-square test computations indicate ${H}_{0}$ can be rejected, we have the statistical evidence to conclude that one or more population proportions differ from the other population proportions.

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