Question

A 90% confidence interval for p, the proportion of all registered voters who favored a mileage increase, was found to be (0.40, 0.70). Does the interval support that a majority of voters favored a mileage increase? Explain. .

A. Yes; 50% is within the bounds of the interval
B. Yes; the lower bound is above 50%
C. No, the lower bound is below 50%
D. No: 50% is not within the bounds of the interval

Answer 1

A is the correct answer

Yes, 50% is within the bounds of the interval

Explanation:

Here, we want to know if the interval support that a majority of the voters favored the mileage increase.

Our correct selected answer is yes.

To be able to select that out of all the options, we must look at the interval of the proportion of the voters that support the mileage. The proportion is noticeable from the question and we can see that within the given interval, we have 50% of the proportion lying within it.

Since we have 50% lying within our interval, then we can confidently confirm at 90% confidence interval for p that the interval support that a majority of voters favored a mileage increase