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Hypothesis Tests for Proportions

Given the following null and alternative hypothesis

Ho: μ = 1,346
HA: μ ≠ 1,346
α = 0.05
X = 1,338 σ = 90 n =60

a. establish the appropriate decision rule based on z as a test statistic
b. indicate the appropriate decision based on the sample information and the decision rule
c. Given the decision you reached which hypothesis tests could you have made?

A shopping center developer claims in a presentation to a potential client that at least 40% of the audit female population in a community visit the mall one or more times a week. To test this claim, the developer selected a random sample of 100 households with an adult female present6 and asked if they visit the mall at least one day per week. Thirty-eight of the 100 respondents replied "yes" to the question.

Based on the sample data and a significance level of 0.05, what should be concluded about the developer's claim? Show the decision rule and your analysis clearly?


Solution Summary

It provides two examples of hypothesis testing. The solution is detailed and well organized.