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 788 recent customers of this airline
and found that only 645 reported being satisfied with the airline.
Using a significance level of 5%, test the hypothesis that the proportion of satisfied customers of this airline
is less than 82%. Use the critical value method.
State the null and alternative hypothesis for this test.
$H_0$ : ?
$H_1$ : ?
Determine if this test is left-tailed, right-tailed, or two-tailed.
$\circ$ right-tailed
$\circ$ two-tailed
$\circ$ left-tailed
Should the standard normal ($z$) distribution or Student's ($t$) distribution be used for this test?
$\circ$ The standard normal ($z$) distribution should be used
$\circ$ The Student's $t$ distribution should be used
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.
