One hundred army recruits were randomly assigned to four drill sergents in boot

Question

One hundred army recruits were randomly assigned to four drill sergents in boot camp. At the end of boot camp 84 recruits remained, and thier performance in the obstacle course was timed. for Sergeant Adams, 11 of his 20 recruits performed above the median. For Sergeant Baker, 8 of her 22 recruits performed above the median. Sergeant Callahan had 8 of his 20, and Sergeant Davis had 15 perform above the median. Is there a signivican difference in the performanc results for the four drill sergeants?

Explanation / Answer

H0: The is no signivican difference in the performanc results for the four drill sergeants

H1: The is signivican difference in the performanc results for the four drill sergeants

Let the los be alpha = 5%

The observed frequenices are

The expected frequencies are

The chisquare contribution is

Degrees of freedom: 3

Test Statistic, X^2: 1.8068
Critical X^2: 7.814736
P-Value: 0.6135

Here P-value 0.6135 > alpha 0.05, So we accept H0

Thus we conclude that The is no signivican difference in the performanc results for the four drill sergeants

Adams Baker Callahan Davis Total Above Median 11 8 8 15 42 Below Median 9 14 12 23 58 Total 20 22 20 38 100

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