A smart phone manufacturer is interested in constructing a 95% confidence interval for the proportion of smart phones that break before the warranty expires. 95 of the 1666 randomly selected smart phones broke before the warranty expired.


a. With 95% confidence the proportion of all smart phones that break before the warranty expires is between _______________ and ______________.

b. If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About _____________ percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about ____________ percent will not contain the true population proportion.