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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1145b079-514e-4601-8d44-2100a2771d44%2F89d60597-5c3b-45fb-9215-9a0d5b66997d%2Fm0or78b_processed.png&w=3840&q=75)
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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