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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

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Answer:

B, A, C

Step-by-step 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:

[tex]A = \frac{50}{120}= 0.42\\B = \frac{80}{120}= 0.667\\C= \frac{48}{120}= 0.40[/tex]

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

B, A, C.

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