A computer manufacturing company produces two 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?**- H₀: p₁ ≤ p₂- Hₐ: p₁ > p₂**(b) What is the test statistic? (Round your answer to 2 decimal places, if needed.)**[Answer Box]**(c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.)**[Answer Box]**(d) Based on the p-value, [fail to reject] the null hypothesis.**

Answered: Image /qna-images/answer/7b5120e3-135a-4183-9034-5ba63cde4996.jpg

Answered: A computer manufacturing company…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose an instructor would like to know if there is difference in the performance of her two courses of 560 students each. She proceeds to take a random sample of size 50 from each independent class and was able to establish the following results: mean SD Class 1 86 17 Class 2 78 15 Is there a significant difference between the two classes at a significance level of five percent?
A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 60 men, 35% owned cats. In the second sample of 80 women, 60% owned cats. Test the veterinarian's belief at the a = significance level. Preliminary: a. Is it safe to assume that nmen 5% of all men and nwomen 5% of all women? 0.05 Yes No b. Verify np (1 - p) ≥ 10. Round your answer to one decimal place. np (1 − p) nmen = nwomen (1 - p) Test the claim: = a. Determine the null and alternative hypotheses. Ho: Pmen? Pwomen Ha Pmen ? Pwomen b. The hypothesis test is right-tailed left-tailed two-tailed c. Determine the test statistic. Round to two decimal places. z = d. Find the p-value. Round to four decimal places. p-value e. Make a decision. O Fail to reject the null…
2. Interpret this data.
Researchers reported a study in which 409 domestic violence defendants were randomly assigned to counseling and probation (the experimental group) or just probation (the control group). Out of people 238 in the counseling group, 51 were arrested within 12 months. Out of 171 people assigned to probation,41 were arrested within 12 months. Determine whether counseling lowered the arrestrate; use a 0.05 significance level. Start by comparing the percentages. 1. Write the hypothesis for the test. Ho ___ Ha ____ 2. z = ___ (Round to two decimal places asneeded.) 3. p-value = ____ (Round to three decimal places asneeded.) 4. What is the conclusion for this test? Use a significance level of 0.05.
A gigantic warehouse stores approximately 70 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with blackspot, rendering them unusable. A statistician was hired by the insurance company to estimate p, the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate p to within 0.02 with 95% confidence? The statistician should sample (Round up to the nearest can.) cans to estimate the proportion that were contaminated by the fire to within 0.02 with 95% confidence.
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 185 desktop computers and observes that 16 are defective and he also takes a random sample of 195 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 0.01. (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.) Check (d) Based on the p-value, fail to reject the null hypothesis.

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