You want to know if Governor Gavin Newsom will likely be recalled so you want to build a 95% confidence interval for his disapproval rating. You randomly survey 158 Californians and find that 62 disapprove of Newsom.

1. Explain why the sampling distribution of sample proportions is approximately normal.
2. Write the critical value that corresponds to the given confidence level. Then compute the sample proportion p^p^. Write the proportion as a fraction and a decimal rounded to two decimal places.
3. Compute the estimated standard error. Show the calculation and round to three decimal places to earn full credit.
4. Compute the margin of error EE. Show the calculation and round your answer to three decimal places to earn full credit.
5. Write the 95% confidence interval. Write your answer as aninterval with values rounded to three decimal places to earn full credit.
6. Interpret the confidence interval in context.
7. Another student found the 99% confidence interval to be (0.29, 0.49). Based on these results, do you think Newsom will be recalled? Explain.