A computer manufacturing company claims that only 7.2% of their computers are returned. Kelly thinks that the company is misrepresenting the true proportion of computers that are returned, and that the true proportion is higher than they claim. She wants to test this using a = 0.01. Kelly takes a sample of 255 computers and observes that 23 are returned. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Ho: p 0.072 + HA: p 0.072 + (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, Kelly should fail to reject + the null hypothesis. (e) This data does not provide + sufficient evidence to conclude that the true proportion of computers is higher than claimed.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A computer manufacturing company claims that only 7.2% of their computers are returned. Kelly thinks that the company is misrepresenting the true proportion
of computers that are returned, and that the true proportion is higher than they claim. She wants to test this using a = 0.01. Kelly takes a sample of 255
computers and observes that 23 are returned. Assume a normal sampling distribution.
(a) What are the null and alternative hypotheses?
Но: р
0.072 +
HA: p
0.072 +
(b) What is the test statistic? (Round your answer to 2 decimal places, if needed.)
(c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.)
(d) Based on the p-value, Kelly should fail to reject + the null hypothesis.
(e) This data does not provide + sufficient evidence to conclude that the true proportion of computers is higher than claimed.
Transcribed Image Text:A computer manufacturing company claims that only 7.2% of their computers are returned. Kelly thinks that the company is misrepresenting the true proportion of computers that are returned, and that the true proportion is higher than they claim. She wants to test this using a = 0.01. Kelly takes a sample of 255 computers and observes that 23 are returned. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Но: р 0.072 + HA: p 0.072 + (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, Kelly should fail to reject + the null hypothesis. (e) This data does not provide + sufficient evidence to conclude that the true proportion of computers is higher than claimed.
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