Question 6: (15 points) A company is criticized because only 13 of 43 people in

executive-level positions are women. The company complains that although this

proportion is lower than it might wish, it's not a surprising value given that only

40% of all its employees are women.

(a) Test an appropriate hypothesis and state your conclusion. Use a = 0.05 level

of significance. (Using the normal model and perform a two-sided alternative hy-

pothesis test.)