A chain of restaurants wants to open new branches only in thoseareas that have a proportion of schools of at least 0.23. The chainis considering opening a restaurant in a certain neighborhood. Aselected sample in this neighborhood of 256 people reveals thatthere are 41 schools. Using a 0.01 significance level, would youconclude that the company should open a restaurant in thatneighborhood?

Test the claim by answering the following questions:

1. State the null and alternative hypotheses and label yournumbers.
2. Describe your test, is it an upper z (or t) tailed-test, alower z (or t) tailed-test, or a two-tailed z (or t) test?
3. Calculate the test statistic, OR the p-value OR the confidenceinterval.
4. State the decision rule and make sure to use the criticalvalues.
5. Make a decision, i.e., interpret your results in part (d).