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, 10% 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. Complete parts a below.

a. Construct a 90% confidence interval for the population proportion of women who most feared breast cancer. Interpret.

We can be 90% confident that the population of women who most fear breast cancer falls from _____ to _____

.

(Type integers or decimals rounded to three decimal places as needed.)