A computer manufacturing company claims that only 7.3% 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 = 0.05. Kelly takes a sample of 255 computers and observes that 24 are returned. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Họ: p • = : 0.073 : HA: P 0.073 (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.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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A computer manufacturing company claims that only 7.3% 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 = 0.05. Kelly takes a sample of
255 computers and observes that 24 are returned. Assume a normal sampling distribution.
%3D
(a) What are the null and alternative hypotheses?
Ho: p
* = : 0.073 :
HA: P
0.073 :
(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.
Check
Transcribed Image Text:A computer manufacturing company claims that only 7.3% 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 = 0.05. Kelly takes a sample of 255 computers and observes that 24 are returned. Assume a normal sampling distribution. %3D (a) What are the null and alternative hypotheses? Ho: p * = : 0.073 : HA: P 0.073 : (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. Check
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