1) You are conducting a chi-square test, and your test statistic is 8.97123. You have 5 groups in your data set. Calculate the p-value of the associated hypothesis test. Round your answer to 4 decimal places.

2) You are conducting a follow-up analysis to a chi-square test. You are specifically interested in the first population proportion. Your sample proportion is 0.61, and you have a total of 60 values in your sample. Calculate the standard deviation of the sampling distribution of the sample proportion. Round your answer to 4 decimal places.

3) Suppose you have conducted a chi-square test involving 3 groupsandrejected the null hypothesis that the population proportions are equal to their hypothesized values. A follow-up analysis finds the following confidence intervals for each group: [0.01, 0.15], [0.14, 0.35], [0.35, 0.85]. The hypothesized population proportions were 0.20, 0.45, and 0.50, respectively.

Select the most appropriate conclusion(s).

Group of answer choices

We can be 95% confident that the population proportion for group 2 is greater than its hypothesized value.

We can be95%confidentthat the population proportion for group 1 is less than its hypothesized value.

We can be 95% confident that the population proportion for group 3 is greater than its hypothesized value.

None of these statements are true.

We can be 95% confident that the population proportion for group 3 is less than its hypothesized value.

We can be 95% confident that the population proportion for group 2 is less than its hypothesized value.

We can be 95% confident that the population proportion for group 1 is greater than its hypothesized value.

All of these statements are true.