A machine in a factory must be repaired if it produces more than 11% defectives among the large lot of items that it produces in a day. A random sample of 116 items from the day’s production contains 21 defectives, and the supervisor says that the machine must be repaired. Does the sample evidence support his decision? Use a test with significance level of 2.5%.Complete the following by providing the values requested and selecting the most appropriate option, where applicable. O Alternative hypothesis states: population proportion > 11a.O Alternative hypothesis states: population proportion < 11O Alternative hypothesis states: population proportion is notequal to 11O Alternative hypothesis states: population proportion > 18.1b. What is the critical value for this test?c. What is the sample proportion?d. What is the test statistic for this test?е.option a: Decision: Do Not Reject the null hypothesisoption b: Decision: Reject the null hypothesisf.option a: At a significance level of 2.5% there is insufficient evidence to conclude that the machine in thefactory must be repaired.option b :At a significance level of 2.5% there is sufficient evidence to conclude that the machine in thefactory must be repaired.option c:At a significance level of 2.5% there is insufficient evidence to conclude that the proportion ofdefective items produced by the machine is greater than 18.1%.option d: At a significance level of 25% there is sufficient evidence to conclude that the proportion ofdefective items produced by the machine is greater than 18.1%.

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Answered: O Alternative hypothesis states:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A machine in a factory must be repaired if it produces more than 11% defectives among the large lot of items that it produces in a day. A random sample of 116 items from the day’s production contains 21 defectives, and the supervisor says that the machine must be repaired. Does the sample evidence support his decision? Use a test with significance level of 2.5%.

Complete the following by providing the values requested and selecting the most appropriate option, where applicable.

O Alternative hypothesis states: population proportion > 11
a.
O Alternative hypothesis states: population proportion < 11
O Alternative hypothesis states: population proportion is not
equal to 11
O Alternative hypothesis states: population proportion > 18.1
b. What is the critical value for this test?
c. What is the sample proportion?
d. What is the test statistic for this test?
е.
option a: Decision: Do Not Reject the null hypothesis
option b: Decision: Reject the null hypothesis
f.
option a: At a significance level of 2.5% there is insufficient evidence to conclude that the machine in the
factory must be repaired.
option b :At a significance level of 2.5% there is sufficient evidence to conclude that the machine in the
factory must be repaired.
option c:At a significance level of 2.5% there is insufficient evidence to conclude that the proportion of
defective items produced by the machine is greater than 18.1%.
option d: At a significance level of 25% there is sufficient evidence to conclude that the proportion of
defective items produced by the machine is greater than 18.1%.

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