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The plant manager of a company that makes pillows claims that only 8 percent of the pillows made have a stitching
defect. The quality control director thought that the percent might be different from 8 percent and selected a
random sample of pillows to test. The director tested the hypotheses H, : p = 0.08 versus H, :p +0.08 at the
significance level of a = 0.05. The p-value of the test was 0.03. Assuming all conditions for inference were met,
which of the following is the correct conclusion?

Sagot :

iolivia67

Answer:

The p -value is less than α , and the null hypothesis is rejected. There is convincing evidence to suggest the true proportion of stitching defects is not 0.08.

aksnkj

The correct conclusion should be that the null hypothesis is rejected because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

Given information:

The plant manager of a company that makes pillows claims that only 8 percent of the pillows made have a stitching defect.

The director tested the hypotheses H.

[tex]p = 0.08\\\alpha=0.05[/tex]

p-value of of the test is found to be 0.03 which is smaller than the significance level of [tex]\alpha=0.05[/tex].

Now, for smaller value of p-value, the null hypothesis is ignored.

Therefore, the correct conclusion should be that the null hypothesis is reject because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

For more details, refer to the link:

https://brainly.com/question/4454077

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