A computer manufacturing company claims that only 7.4% 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 215 %3D computers and observes that 23 are returned. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Họ: P 0.074 HA: P 0.074 + (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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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A computer manufacturing company claims that only 7.4% 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 215
computers and observes that 23 are returned. Assume a normal sampling
distribution.
(a) What are the null and alternative hypotheses?
Ho: p
0.074 +
HA: P
0.074
(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 7.4% 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 215 computers and observes that 23 are returned. Assume a normal sampling distribution. (a) What are the null and alternative hypotheses? Ho: p 0.074 + HA: P 0.074 (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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