An economist wondered if people who go grocery shopping on weekdays go more or less often on Fridays than any other day. She figured that if it were truly random, 20%of these shoppers would go grocery shopping on Fridays. She randomly sampled 75 consumerswho go grocery shopping on weekdays and asked them on which day they shop most frequently. Of those sampled, 24 indicated that they shop on Fridays more often than other days.

The economist conducts a one-proportionhypothesis testat the 1% significance level, to test whether the true proportion of weekday grocery shoppers who go most frequently on Fridays is different from 20%.

(a) H0:p=0.2; Ha:p0.2, which is a two-tailed test.

(b)Use Excel to test whether the true proportion of weekday grocery shoppers who go most frequently on Fridays is different from 20%.Identify the test statistic, z,and p-valuefrom the Excel output, rounding to threedecimal places.