A recent survey of 1000 American women between the ages of 45 and 64 asked them what medical condition they most feared. Of those sampled, 61% said breast cancer, 8% said heart disease, and the rest picked other conditions. By contrast, currently about 3% of female deaths are due to breast cancer, whereas 32% are due to heart disease. 5
a. Construct a 90% confidence interval for the population proportion of women who most feared breast cancer. Interpret.
b. Indicate the assumptions you must make for the inference in part a to be valid.