Question

A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percentage of defective cellular phones found among his products, ( p1 ), will be no higher than the percentage of defectives found in a competitor's line, ( p2 ). To test this statement, the retailer took a random sample of 150 of the salesman's cellular phones and 120 of the competitor's cellular phones. The retailer found that 16 of the salesman's cellular phones and 9 of the competitor's cellular phones were defective. Does the retailer have enough evidence to reject the salesman's claim? Use a significance level of α=0.05 for the test.

Step 1 of 6:

State the null and alternative hypotheses for the test.

Step 2 of 6:

Find the values of the two sample proportions, p^1 and p^2 . Round your answers to three decimal places

Step 3 of 6:

Compute the weighted estimate of p, p‾ . Round your answer to three decimal places.

Step 4 of 6:

Compute the value of the test statistic. Round your answer to two decimal places.

Step 5 of 6:

Determine the decision rule for rejecting the null hypothesis H0 . Round the numerical portion of your answer to three decimal places.

Step 6 of 6:

Make the decision for the hypothesis test.

Answer #1

A salesman for a new manufacturer of cellular phones claims not
only that they cost the retailer less but also that the percentage
of defective cellular phones found among his products, ( p1 ), will
be no higher than the percentage of defectives found in a
competitor's line, ( p2 ). To test this statement, the
retailer took a random sample of 130 of the salesman's cellular
phones and 105 of the competitor's cellular phones. The retailer
found that 12 of...

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not only that they cost the retailer less but also that the
percentage of defective cellular phones found among his products, (
p1 ), will be no higher than the percentage of defectives found in
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took a random sample of 215 of the salesman's cellular phones and
210 of the competitor's cellular phones. The retailer found that...

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