**Question**

Randomly sampled math majors at a large university were asked to take part in a survey about the curriculum. The dean wanted to find out how challenging the math coursework was for students. The proportion of math majors that stated the curriculum was challenging was 0.92, with a margin of error of 0.07.

Construct a confidence interval for the proportion of math majors that stated the curriculum was challenging.

Provide your answer below:

Ans: 0.85, 0.99

**Question**

A researcher is trying to estimate the population mean for a certain set of data. The sample mean is 45, and the error bound for the mean is 9, at a 99.7% confidence level. (So, x¯=45 and EBM = 9.) Find and interpret the confidence interval estimate.

Select the correct answer below:

We can estimate, with 99.7% confidence that the true value of the population mean is between 42 and 48.

We can estimate, with 99.7% confidence that the true value of the population mean is between 36 and 54.

We can estimate, with 99.7% confidence that the true value of the population mean is between 45 and 54.

We can estimate, with 99.7% confidence that the true value of the population mean is between −36 and 54.

We can estimate, with 99.7% confidence that the true value of the population mean is between 39 and 51.

We can estimate, with 99.7% confidence that the true value of the population mean is between 36 and 45.

Ans:________________

**Kindly click the purchase icon to purchase the full solution at $5**