27. True or False: Two different samples must lead to the same conclusion regard

Question

27. True or False: Two different samples must lead to the same conclusion regarding the rejection of a given null hypothesis. 28. As quality control officer for a large company, you are responsible for testing the quality of incoming parts for use in the company's manufacturing process. A parts supplier claims that no more than 3% (003) of the items in a large shprnent will fail to meet your company's specifications. A random sample of 350 parts from the shipment shows that only 16 parts do not meet specifications. What is your decision regarding the supplier's claim at the 5% significance level? Test Statistic:-768Y Rejection decision and reasoning, using p-values: Conclusion (Interpret the rejection decision in context)

Explanation / Answer

Ans:

27)False(different samples will result in different test statictic value,so conclusion may be different.)

28)

H0:p<=0.03 (claim)

Ha:p>0.03

Sample proportion=16/350=0.0457

Test statistic:

z=(0.0457-0.03)/sqrt(0.03*(1-0.03)/350)

z=1.72

p-value=P(z>1.72)=0.0427

As,p-value<0.05,we reject null hypothesis.

There is not sufficient evidence to support the supplier's claim(p<=0.03)

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