Question

In: Statistics and Probability

An economist wondered if people who go grocery shopping on weekdays go more or less often...

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 consumers who 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-proportion hypothesis test at 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:p≠0.2, 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-value from the Excel output, rounding to three decimal places.

Provide your answer below:

test statistic =    p-value =

Solutions

Expert Solution

Solution: Here concept of z-test for single proportion is used.


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