A computer manufacturing company produces 2 products: desktop computers and laptops. The quality controller wants to see if the proportion of defective desktop computers is higher than the proportion of defective laptops. To check this, he takes a random sample of 100 desktop computers and observes that 17 are defective and he also takes a random sample of 110 laptops and observes that 10 are defective. Assume a normal sampling distribution. Test an appropriate hypothesis and state your conclusion. Use a significance level of 0.02. (a) What are the null and alternative hypotheses? Ho: P 0.0 HA: P 0.0 (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, fail to reject + the null hypothesis.

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 produces 2 products: desktop computers and laptops. The quality controller wants
to see if the proportion of defective desktop computers is higher than the proportion of defective laptops. To check this,
he takes a random sample of 100 desktop computers and observes that 17 are defective and he also takes a random
sample of 110 laptops and observes that 10 are defective. Assume a normal sampling distribution. Test an appropriate
hypothesis and state your conclusion. Use a significance level of 0.02.
(a) What are the null and alternative hypotheses?
Ho: P
0.0
HA: P
0.0
(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, fail to reject + the null hypothesis.
Transcribed Image Text:A computer manufacturing company produces 2 products: desktop computers and laptops. The quality controller wants to see if the proportion of defective desktop computers is higher than the proportion of defective laptops. To check this, he takes a random sample of 100 desktop computers and observes that 17 are defective and he also takes a random sample of 110 laptops and observes that 10 are defective. Assume a normal sampling distribution. Test an appropriate hypothesis and state your conclusion. Use a significance level of 0.02. (a) What are the null and alternative hypotheses? Ho: P 0.0 HA: P 0.0 (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, fail to reject + the null hypothesis.
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