An airline company recently boasted about its 82% customer satisfaction rate. A corporate watchdog group believes that this percentage is greatly exaggerated, and the real percentage of satisfied customers is lower than 82%. The group randomly surveyed 830 recent customers of this airline and found that only 639 reported being satisfied with the airline. Using α=0.025α=0.025, test the hypothesis that the proportion of satisfied customers of this airline is less than 82%. Use the critical value method. Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to two decimal places. Determine the appropriate conclusion for this hypothesis test.
An airline company recently boasted about its 82% customer satisfaction rate.
A corporate watchdog group believes that this percentage is greatly exaggerated, and the real percentage of satisfied customers is lower than 82%. The group randomly surveyed 830 recent customers of this airline and found that only 639 reported being satisfied with the airline.
Using α=0.025α=0.025, test the hypothesis that the proportion of satisfied customers of this airline is less than 82%. Use the critical value method.
Determine the critical value(s) for this hypothesis test. Round the solution(s) to two decimal places. If more than one critical value exists, enter the solutions using a comma-separated list.
Determine the test statistic. Round the solution to two decimal places.
Determine the appropriate conclusion for this hypothesis test.
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