a local dentist is concerned that less than half of her patients floss daily. a 95% confidence interval for…

a local dentist is concerned that less than half of her patients floss daily. a 95% confidence interval for the true proportion of her patients who floss daily is (0.325, 0.701). is it reasonable to believe that less than half of her patients floss daily?\n\nyes, because 0.50 is in the interval.\nyes, because the majority of the interval is less than 0.50.\nno, because there are values in the interval greater than 0.50.\nno, because the interval has a lower bound of 0.325, which is not statistically lower than 0.50.

a local dentist is concerned that less than half of her patients floss daily. a 95% confidence interval for the true proportion of her patients who floss daily is (0.325, 0.701). is it reasonable to believe that less than half of her patients floss daily?\n\nyes, because 0.50 is in the interval.\nyes, because the majority of the interval is less than 0.50.\nno, because there are values in the interval greater than 0.50.\nno, because the interval has a lower bound of 0.325, which is not statistically lower than 0.50.

Answer

Answer:

C. No, because there are values in the interval greater than 0.50.

Explanation:

Step1: Understand confidence - interval concept

A 95% confidence interval (0.325, 0.701) for the proportion of patients who floss daily contains all the plausible values for the true proportion.

Step2: Analyze the claim

The dentist claims that less than half (0.50) of her patients floss daily. Since the interval contains values greater than 0.50, we cannot be reasonably sure that the true proportion is less than 0.50.