Research by First Bank of Illinois revealed that 8 percent of its customers wait more than five minutes to do their banking when not using the drive-through facility. Management considers this reasonable and will not add more tellers unless the proportion becomes larger than 8 percent. The branch manager at the Litchfield Branch believes that the wait is longer than the standard at her branch and requested additional part-time tellers. To support her request she found that, in a sample of 140 customers, 19 waited more than five minutes. |
(a) | State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.) |
H0: π ≤ | |
H1: π > | |
(b) | State the decision rule for .01 significance level. (Round your answer to 2 decimal places.) |
Reject H0 if z> |
(c) | Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) |
Value of the test statistic |
(d) | Is it reasonable to conclude that more than 8 percent of the customers wait more than five minutes? Use the .01 significance level. |
(Click to select) Reject Do not reject H0. It is (Click to select) not reasonable reasonable to conclude that more than 8 percent of the customers wait more than five minutes. |
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