Question

A producer of 10-ounce bags of pretzels claims that less than 7% of the pretzels in each bag are broken. The 95% confidence interval for the true proportion of broken pretzels in the 10-ounce bags produced by this company is (0.036, 0.067). Is it reasonable to conclude that less than 7% of pretzels in each bag are broken

Answer 1

Yes, because the entire interval is less than 0.07.

Explanation:

Edge 2022

Answer 2

We are 95% sure that the true proportion of broken pretzels in the 10-ounce bags produced by this company is (0.036, 0.067). Since 0.07 is higher than the upper bound of the interval, it is reasonable to conclude that less than 7% of pretzels in each bag are broken.

Explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

We are 95% sure that the true proportion of broken pretzels in the 10-ounce bags produced by this company is (0.036, 0.067). Since 0.07 is higher than the upper bound of the interval, it is reasonable to conclude that less than 7% of pretzels in each bag are broken.