Question

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

1.) Calculate the test statistic

2.) Determine the critical value(s) for the hypothesis test

3.)

Conclude whether to reject the null hypothesis or not based on the test statistic.

Reject

Fail to Reject

Cannot Use Normal Approximation to Binomial

Answer 1