A government official wanted to know if more than90%of the residents in a region had an income that was less than100thousand dollars. The official randomly sampled500residents and found that463of themhad an income that was less than100thousand dollars.

The official conducts a one-proportionhypothesis testat the5%significance level, to test whether the true proportionof residents in the region that have an income that is less than100thousand dollars is greater than90%.

(a)H0:p=0.9;Ha:p>0.9, which is a right-tailed test.

(b)Use Excel to test whether the true proportionof residents in the region that have an income that is less than100thousand dollars is greater than90%.Identify the test statistic,z,and p-valuefrom the Excel output, rounding to threedecimal places.