A political analyst is testing the claim that the proportion of voters favoring a tax reform proposal is at least 60%. A sample of 760 voters is acquired via cluster sampling, and there were 465 that favored the proposal.

1. Based on the claim, state your null and alternate hypotheses.

2. What are the conditions for using the law of large numbers to conduct a hypothesis test about the population proportion using the z-score as the test statistic?

3. For a possibility of a Type I error of .05, explain what this means related to conclusions about the hypotheses.

4. Calculate the appropropriate test statistic based on the sample results.

5. Sketch the distribution showing both the critical value of the test statistic as well as the sample (calculated) value of the test statistic

6. State a decision rule for whether or not to reject the null hypothesis based on the test statistic.

7. What is the p-value? How do you interpret this value?

8. State your conclusion.