Use the provided contingency table and expected frequencies. At alpha equals 0.01, test the hypothesis that...

Use the provided contingency table and expected frequencies. At alpha equals 0.01, test the hypothesis that the variables are independent. What is the test statistic?

Result	stretched	not stretched
injury	16(20.979)	24(19.021)
No injury	209(204.021)	180(184.979)

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Expert Solution

The following is the table for observed and expected frequency

Result	stretched	not stretched
injury	16(20.979)	24(19.021)
No injury	209(204.021)	180(184.979)

Observed Frequency(O)	Expected Frequency ( E)	( O-E)^2	( O-E)^2/E
16	20.979	24.790441	1.181678869
24	19.021	24.790441	1.303319542
209	204.021	24.790441	0.121509261
180	184.979	24.790441	0.134017597
429	429	99.161764	2.740525269

= 2.74

Null hypothesis: the events are independent

Alternate hypothesis: the events are dependent

The critical value at df = 4 - 1 = 3 and alpha = 0.01 is given by = 11.345

Reject the null hypothesis if >

Here, = 2.74 < = 11.345

Hence do not reject the null hypothesis

The events are independent

orchestra answered 11 months ago

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Use the provided contingency table and expected frequencies. At alpha equals 0.01​, test the hypothesis that...

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Use the provided contingency table and expected frequencies. At alpha equals 0.01, test the hypothesis that...