Question

A school administrator wants to know what proportion of the approximately 80,000 teachers in their state have a Master's degree. The administrator takes an SRS of 100 teachers from a statewide database containing every teacher, and they find 65 teachers in the sample have a Master's degree. Based on this sample, the administrator construct 99% confidence interval for the proportion of teachers in the state with a Master's degree (0.55, 0.65) The point estimate for this interval is:

a. 0.65
b. 0.60
c. 0.99
d. 0.55

Answer 1

The point estimate for the proportion of freshmen at State University who have declared their majors is approximately 0.5072.

Step-by-step explanation:

The point estimate for the proportion of freshmen at State University who have declared their majors is calculated using the plus-four method. First, we add 4 to the number of students who declared their majors in the sample. In this case, 31 + 4 = 35. Then, we divide this adjusted total by the sample size plus 4. So, 35 / (65 + 4) = 35 / 69. The point estimate for the proportion is approximately 0.5072.