Questions 5–7. A buyer wishes to test if the proportion of defective items in a shipment is over 20% or not. The hypotheses are Ho : p <0.2 and H1 : p > 0.2.

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Questions 5–7. A buyer wishes to test if the proportion of defective items in a shipment is over 20% or
not. The hypotheses are Ho : p <0.2 and H1 : p> 0.2.
5.
Suppose the buyer selects a random sample of 400 items and finds that 88 are defective. The p-value
of the test is closest to
(а) 0.05
(b) 0.0668
V(c) 0.1587
(d) 0.3413
(e) 0.4332
6.
Suppose the buyer selects another random sample of 400 items, the smallest number of defective
items in the sample that will cause Ho to be rejected at 5% significance level
closest to
(а) 88
(b) 91
V(c) 94
(d) 97
(e) 100
Page 2 of 8
7.
Suppose the buyer selects a third random sample and finds that a 95% confidence interval for the
proportion of defective items in a shipment is (0.1216, 0.2784). Based on this information, the test
statistic for testing Ho verses H is closest to
(а) —1.645
(b) 1.645
(с) —1.96
(d) 1.96
V(e) 0
Transcribed Image Text:Questions 5–7. A buyer wishes to test if the proportion of defective items in a shipment is over 20% or not. The hypotheses are Ho : p <0.2 and H1 : p> 0.2. 5. Suppose the buyer selects a random sample of 400 items and finds that 88 are defective. The p-value of the test is closest to (а) 0.05 (b) 0.0668 V(c) 0.1587 (d) 0.3413 (e) 0.4332 6. Suppose the buyer selects another random sample of 400 items, the smallest number of defective items in the sample that will cause Ho to be rejected at 5% significance level closest to (а) 88 (b) 91 V(c) 94 (d) 97 (e) 100 Page 2 of 8 7. Suppose the buyer selects a third random sample and finds that a 95% confidence interval for the proportion of defective items in a shipment is (0.1216, 0.2784). Based on this information, the test statistic for testing Ho verses H is closest to (а) —1.645 (b) 1.645 (с) —1.96 (d) 1.96 V(e) 0
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