A manager at a local discount gym believes that less than 20% of gym members use the gym, at least 5 days a week. She randomly selects 100 gym members and tracks (using the electronic login system at the door) how many days they used the gym over the 2-week period. The following are the results:
2 3 10 4 2 3 8 4 8 10
5 0 6 3 9 13 6 3 12 5
3 3 5 1 5 9 8 5 8 2
6 4 4 2 12 1 3 3 2 12
7 3 14 2 8 5 2 6 1 5
6 9 6 8 10 1 11 3 2 1
5 4 1 2 3 13 7 4 8 3
7 4 3 2 10 3 1 7 11 8
4 7 6 7 8 11 7 6 3 2
5 0 4 6 5 12 2 10 1 2
Test the manager’s claim at the 1% level of significance.
Standard Normal Distribution Table
________________________________________
a. Calculate the test statistic.
z=
Round to two decimal places if necessary
Enter 0 if normal approximation to the binomial cannot be used
________________________________________
b. Determine the critical value(s) for the hypothesis test.
• +
Round to two decimal places if necessary
Enter 0 if normal approximation to the binomial cannot be used
________________________________________
c. Conclude whether to reject the null hypothesis or not based on the test statistic.
Reject
Fail to Reject
Cannot Use Normal Approximation to Binomial