Question: #14. Let \(\pi \) denote the proportion of Floridians who think that government environmental regulations are too strict. Test \({{H}_{0}}:\pi =0.5\) against \({{H}_{A}}:\pi \ne 0.5\), using the data from a telephone poll of 834 people, in which 26.6% said that regulations were too strict.

(a) Calculate the test statistics

(b) Find the p-value

(c) Using \(\alpha =0.01\), can you determine whether a majority or minority thinks that the regulations are too strict?

(d) Construct a 99% confidence interval.