A computer manufacturing company claims that only 7.4% of their computers arereturned. Kelly thinks that the company is misrepresenting the true proportion ofcomputers that are returned, and that the true proportion is higher than theyclaim. She wants to test this using a = 0.01. Kelly takes a sample of 215computers and observes that 23 are returned. Assume a normal samplingdistribution.(a) What are the null and alternative hypotheses?Ho: p0.074 +HA: P0.074(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 4decimal 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 trueproportion of computers is higher than claimed.Check

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Answered: A computer manufacturing company claims…

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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You are interested in testing whether the average age of household heads is higher in the suburbs than in inner city neighbourhoods. A survey is conducted, and the following results are obtained. In the suburbs, the household heads of the 45 households surveyed had a mean age of 44 with a standard deviation of 15. In the inner city, the mean age of the 40 household heads surveyed was 38 with a standard deviation of 13. Assuming that the populations from which these samples were drawn have equal variances, can you conclude that the difference between the two means is significant at the 95% level of confidence? (a) Write in words and symbols the null and research hypotheses. (b) Assuming the variances of the populations are equal, calculate the value of the Pooled Variance Estimate (PVE). (c) Calculate the value of the standard error for the difference between the two means.
Violation of which assumption below for the two-factor ANVOA is not a cause for concern with large sample sizes? a. The populations from which the samples are selected must have equal variances. b. The populations from which the samples are selected must be normal. c. A violation of any assumption below would be a concern, even with large sample sizes. d. The observations within each sample must be independent.
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.
You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.57. You use a significance level of a = 0.001. Ho:p = 0.57 H1:p > 0.57 You obtain a sample of size n = 331 in which there are 211 successes.
In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 70 write with their left hands and 444 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
A mobile game currently has 38% of the market share. The CEO of the company producing the game recently authorized an advertising campaign with the goal of increasing the game's market share. A random sample of 1041 mobile gamers found that 409 gamers played the game at least once a day. A .Setup the null and alternative hypotheses to see if there is a significant change in the market share of the game. B. Determine if you can use a normal model to approximate the distribution of sample proportions. C. Find the critical value for a level of significance of 0.03. D. Find the standardized test statistic. E. State the conclusion of the hypothesis test.
Assuming that other factors are held constant, which approach would tend to increase the likelihood of rejecting the null hypothesis? a. Decrease the sample mean difference. b. Increase the sample variance. c. Increase the sample mean difference. d. Decrease the sample size.
In a survey of 180 females who recently completed high school, 75% were enrolled in college. In a survey of 160 males who recently completed high school,70 % were enrolled in college. At a=.009, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e).
Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? a. A small alpha level reduces the likelihood of a Type I error. b. A small alpha level reduces the effect size. c. A small alpha level increases statistical power. d. A small alpha level increases the likelihood of detecting statistical significance.
In a random sample of males, it was found that 22 write with their left hands and 220 do not. In a random sample of females, it was found that 73 write with their left hands and 449 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ = P2 H₁: P₁ P2 B. Ho: P₁ = P2 H₁: P₁ P2 E. Ho: P₁ P2 H₁: P₁ = P2 C. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ H₁: P₁ P2 P₂
A computer manufacturing company claims that only 7.5% 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 α = 0.01. Kelly takes a sample of 220 computers and observes that 25 are returned. Assume a normal sampling distribution.(a) What are the null and alternative hypotheses?H0: HA: (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.)
At a large university, 68% of the students have a laptop, while only 43% of professors have one. Let and be the sample proportions of students and professors, respectively, who have a laptop. Suppose 56 students and 31 professors from this university are selected at random and asked if they have a laptop. Which of the following is the correct calculation and interpretation of the standard deviation of the sampling distribution of ? The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.012 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.035 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who have a laptop typically varies about 0.109 from the true difference in proportions. The difference (student – professor) in the sample proportions of those who…

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