Question

Select your answer. A random survey of 212 students asked each student to select the most preferred form of recreational activity from five choices. Here are the results of the survey: Basketball (1) Softball (2) Swimming (3) Tennis (5) Jogging (4) 22 Male 31 16 19 23 Female 21 16 13 27 24 Is there a relationship between gender and preferred sport? The test statistic is 0 4.1 O 6.1 0 5.1 2.1 O 3.1 O none of the answers provided here

Answer 1

	Basketball	Softball	Swimming	Jogging	Tennis	Total
Male	31	16	19	22	23	111
Female	21	16	13	27	24	101
Total	52	32	32	49	47	212

The test statistics is given by,

$\small \chi^{2}=n(\sum\sum \frac{f_{ij}^{2}}{f_{i0}*f_{0j}}-1)$

$\small \chi^{2}=212 *(\frac{31^{2}}{52*111}+..+\frac{24^{2}}{47*101}-1)$

$\small \chi^{2}=3.1$

degrees of freedom = (2-1)*(5-1) = 4

P-value = 0.541

There is no relationship between gender and preferred sports.

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