Devon’s tennis coach says that 72% of Devon’s serves are good serves. Devon thinks he has a higher proportion of good serves. To test this, 50 of his serves are randomly selected and 42 of them are good. To determine if these data provide convincing evidence that the proportion of Devon’s serves that are good is greater than 72%, 100 trials of a simulation are conducted. Devon’s hypotheses are: H0: p = 72% and Ha: p > 72%, where p = the true proportion of Devon’s serves that are good. Based on the results of the simulation, the estimated P-value is 0.06. Using Alpha= 0.10, what conclusion should Devon reach?
Group of answer choices

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < a, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Step-by-step explanation:

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MrRoyal MrRoyal · Answer 2 · 2022-04-20T14:12:53+02:00

The conclusion is (a) Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

How to determine the conclusion?

The given parameters are:

Null hypothesis H0: p = 72%
Alternate hypothesis Ha: p > 72%,
p value = 0.06
α = 0.10

By comparison, the p-value is less than the alpha value

i.e. 0.06 <0.10

When the p-value is less than the alpha value, the null hypothesis is rejected.

Hence, the conclusion is (a)

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