Question

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?

Answer 1

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.

Answer 2

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.

$p = 0.08\\\alpha=0.05$

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

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.

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https://brainly.com/question/4454077