A smart phone manufacturer is interested in constructing a 99% confidence interval for the proportion of smart phones that break before the warranty expires. 83 of the 1621 randomly selected smart...

A smart phone manufacturer is interested in constructing a 99% confidence interval for the proportion of smart phones that break before the warranty expires. 83 of the 1621 randomly selected smart phones broke before the warranty expired. Round answers to 4 decimal places where possible.

a.  With 99% confidence the proportion of all smart phones that break before the warranty expires is between ______ and ______.

b.  If many groups of 1621 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.