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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An educational psychologist studies the effect of frequent testing on retention of class material. In one section of an introductory course, students are given quizzes each week. A second section of the same course receives only two tests during the semester. At the end of the semester, both sections receive the same final exam, and the scores are summarized below. Frequent Quizzes Two Exams n = 20 n = 20 M = 73 M = 68 A. If the first sample variance is s2 = 38 and the second sample has s2 = 42, do the data indicate that testing frequency has a significant effect on performance? Use a two- tailed test at the .05 level of significance. (Note: Because the two sample are the same size, the pooled variance is simply the average of the two sample variances.) tcritical…
A biologist wishes to study the effect of the pollinating number of insects on yields of dates on a large dates farm located in the governorate of Musandam. Using your statistics knowledge, you propose to her that for better inferential statistics she should use systematic random sampling to select a sample of 100 date trees from the 2000 date trees in the farm. Which of the following is true? Select one: O a. The population is 100 date trees selected from the farm O b. Systematic sampling is a convenient sampling method O c. The sampling size will be 20 O d. Systematic sampling is obtained by taking every pth element from the population
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You have an independent-measures study where your first sample has an s² = 9 and your second sample has an s? = 6. a. If your sample size for both samples is n= 5, find the sample variances and compute the pooled variance. b. On the other hand, if your samples have difference sample sizes, n1 = 5 and n2 13. Again, calculate the two sample variances and your pooled variance, c. Compare your answers from part a and b. Why are there differences?
A manufacturer claims that only 2% of their products are defective. A store receives a delivery of 300 items from the manufacturer. Let p-hat = the proportion of defective items in a sample of 300 items. Assuming the manufacturer is correct that only 2% of their products are defective, what are the mean and standard deviation of the sampling distribution of p-hat ? Options: The mean is 0.02 and the standard deviation is 0.008. The mean is 6 and the standard deviation is 2.42. The mean is 6 and the standard deviation is 5.88. The mean is 0.02 and the standard deviation is 0.196.
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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 report states that 10% of all babies born in a certain U.S. state are preterm, which has important implications for the cost of health care. If in an SRS of 400 recent births in the state 36 were preterm, what is sampling distribution of the sample proportion? approximately N(0.10, 0.0150) approximately N(40, 6) binomial with n=400 and p=.10
In a particular year, registered nurses earned an average annual salary of $52,330. A survey was conducted with 48 nurses from a particular state to determine if the annual salary is higher than $52,330 for that state's nurses. The sample average was $61,599 with a sample standard deviation of $7,489. Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? (Round your answer to four decimal places.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to the…
(6) A student surveys some students on campus in the evening and finds that 16 out of 20 of the students she interviewed are part time students. She uses the data to estimate the percentage of all students who are part time. What type of bias is present in her sample?
I need the solution for (d) please

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