The manager of a fast-food restaurant wants to reduce the proportion of drive-thru customers who have to wait longer than 2 minutes to receive their food after placing an order. Based on store records, the proportion of customers who had to wait longer than 2 minutes was p = 0.63. To reduce this proportion, the manager assigns an additional employee to drive-thru orders. During the next month, the manager collects a random sample of 250 drive-thru times and finds that 144 had to wait more than 2 minutes. The manager performs a test of the following hypotheses at the 0.10 significance level: H0: p=0.63p=0.63 Ha: p<0.63p<0.63 The Type II Error is 0.14. Find and interpret Power in context.
The manager of a fast-food restaurant wants to reduce the proportion of drive-thru customers who have to wait longer than 2 minutes to receive their food after placing an order. Based on store records, the proportion of customers who had to wait longer than 2 minutes was p = 0.63. To reduce this proportion, the manager assigns an additional employee to drive-thru orders. During the next month, the manager collects a random sample of 250 drive-thru times and finds that 144 had to wait more than 2 minutes. The manager performs a test of the following hypotheses at the 0.10 significance level:
H0: p=0.63p=0.63
Ha: p<0.63p<0.63
The Type II Error is 0.14. Find and interpret Power in context.
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