Question

Q 4.3: There are three samples A, B, and C. Sample A indicates 50 successes out of 120 cases, sample B indicates 80 successes out of 120 cases, and sample C indicates 48 successes out of 120 cases. What is the correct order of the strength of evidence of the samples for the alternative hypothesis Ha: p>0.4, from the strongest to the weakest

Answer 1

B, A, C

Explanation:

If the alternative hypothesis is Ha: > 0.4, then the samples with a higher proportion (further from 0.4) will present a stronger evidence for the alternative hypothesis.

The proportions for samples A, B and C are:

`A = (50)/(120)= 0.42\\B = (80)/(120)= 0.667\\C= (48)/(120)= 0.40`

Therefore, the order of strength from strongest to weakest evidence is:

B, A, C.