Question: On November 15, 2006, carefair.com reported that 40% of women aged 30 years and older would rather get Botox injections than spend a week in Paris. The survey consisted of 175 women in the specified age group.
a. What is the point estimate of the corresponding population proportion?
b. Construct a 98% confidence interval for the proportion of all women aged 30 years and older who would rather get Botox injections than spend a week in Paris. What is the margin of error for this estimate?