The state of Wisconsin would like to understand the fraction of its adult residents that consumed alcohol in the last year, specifically if the rate is different from the national rate of 70%. To help them answer this question, they conduct a random sample of 852 residents and ask them about their alcohol consumption. They found that 176 consumed alcohol in the last year. Test the claim that proportion of adult residents in Wisconsin that consumed alcohol in the last year is different than what was reported. Use a 5% significance level. Give answers to at least 4 decimal places.

a. What are the correct hypotheses?
b. Based on the hypotheses, find the following:
1. Test Statistics (z- Score):
2. p-value: