Question

In: Statistics and Probability

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 180 customers, 17 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)RejectDo not reject H₀. It is (Click to select)reasonablenot reasonable to conclude that more than 8 percent of the customers wait more than five minutes.

Expert Solution

(a)

(b)

Reject Ho if Z > 2.33

(c)

Test statistic = 0.714

(d)

Do not reject Ho. It is not reasonable to conclude that more than 8 percent of the customers wait more than five minutes.

orchestra answered 2 years ago

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