Question
A government official wanted to know if more than 90% of the residents in a region had an income that was less than 100 thousand
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.
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