(Solution Library) For the following data, test the claim that p_1=p_2, at the 0.05 significance level. Low High n 1 = 5239 n 2 = 4939 x 1 = 52 x 2 = 25
Question: For the following data, test the claim that \({{p}_{1}}={{p}_{2}}\), at the 0.05 significance level.
Low High
n 1 = 5239 n 2 = 4939
x 1 = 52 x 2 = 25
- State the null and alternative hypotheses
- Calculate \({{\hat{p}}_{1}}\) and \({{\hat{p}}_{2}}\)
- Find the pooled estimate \(\bar{p}\)
- Find the z-statistics
- Find the critical z-value
- Find the p-value
- State the conclusion
- Construct a 90% confidence interval estimate for the difference between the two proportions
- Does the confidence interval estimate agree with your conclusion? Explain why?
- Does the confidence interval estimate always result in the same conclusion as the hypothesis test? Explain why or why not.
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