Question

A random survey of 100 students asked each student to select the most preferred form of recreational activity from five choices. Following are the results of the survey:

	Recreational choice
Gender	Basketball	Baseball/Softball	Swimming	Jogging/Running	Tennis	Total
Male	21	5	9	12	13	60
Female	9	3	1	15	12	40
Total	30	8	10	27	25	100

1. Test if the choice of spot and gender are independent (You may use 5% significance level).
2. Calculate the contribution from men who prefer basketball towards the final chi-square test statistic.
3. Re-do the test using MINITAB. Compare with the test statistic and the p value from hand calculations.

Answer 1

Tabulated Statistics: C1, Worksheet columns

Rows: C1   Columns: Worksheet columns

	BAsketball	Baseball	Swimming	Jigging	Tennis	All
Male	21	5	9	12	13	60
	18.00	4.80	6.00	16.20	15.00
FEmale	9	3	1	15	12	40
	12.00	3.20	4.00	10.80	10.00
All	30	8	10	27	25	100

Cell Contents
      Count
      Expected count

Chi-Square Test

	Chi-Square	DF	P-Value
Pearson	8.4097	4	0.078

3 cell(s) with expected counts less than 5.

Approximately same