A random sample of U.S. adults taken 4 years ago indicated that 70% were optimistic about the economy. An economist believes that this percent has increased.

The economists takes another random sample. Suppose out of 50 people questioned, 41 of them were optimistic about the economy.

(b) Find the sample proportion of people who are optimistic about the economy.

(3 decimal places)

(e) Find the test statistic.

(3 decimal places)

(f) Find the p-value.

(3 decimal places)