Question

Research by First Bank of Illinois revealed that 8 percent of its customers wait more than...

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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