A researcher was interested in the enrollment of women within engineering majors at a local university. The data from a random sample of 25 engineering students were as follows:

Male Female Male Male Male Female Male Male Male Male Male Female Female Male Male Male Male Male Male Female Male Female Male Male Male

(7 marks)Construct a 92.5% confidence interval for the population proportion of females with an engineering major. (1 mark)Suppose that we took a second sample and calculated that this sample had a 90% confidence interval of 0.19 to 0.35. Which of these is a valid interpretation of this confidence interval? Clearly circle only one response.

A. There is a 90% probability that a randomly selected student has a 0.19 to 0.35 probability of being female.

B. We are 90% confident that the mean proportion of being female in our sample is between 0.19 and 0.35.

C. We are 90% confident that 19 to 35% of female students will chose an engineering major.

D. We are 90% confident that the population mean proportion of females is between 0.19 and 0.35