A researcher plans to use a random sample of n=500 families to estimate the mean monthly family income for a large population. A 99% confidence interval basedon the sample would bethan a 90% confidence interval.narrower and would involve a larger risk of being incorrectwider and would involve a smaller risk of being incorrectwider and would involve a larger risk of being incorrectwider, but it cannot be determined whether the risk of being incorrect would be larger or smallernarrower and would involve a smaller risk of being incorrect

Answered: A researcher plans to use a random…

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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A university health services physician is concerned about how much sleep freshman are getting. She asked a simple random sample of 100 students if they got at least 8 hours of sleep the previous night. then she constructs a 90% confidence interval for the true proportion of all freshman college students who got at least 8 hours of sleep the previous night. Explain what would happen to the width of the interval if the sample size would decrease to 25 students
Suppose you compute a confidence interval with a sample size of 25. What will happen to the confidence interval if the sample size increases to 37? The confidence interval will widen. The confidence interval will narrow. The width of the confidence interval will stay the same.
Sal knows that parties of people on average spend 75 minutes at their restaurant. They wonder if this average is significantly different on the weekends. They found the average time spent by the 30 parties which dined there this weekend was 82 minutes with a SD of 17 minutes. Assume an alpha of .05. The lower end of the 95% confidence interval is and the higher end of the 95% confidence interval is.
One company recently conducted a survey in which 420 women and 420 men were asked "Are you satisfied with the work of the Minister of Health?". Of these, 155 men and 118 women said they were satisfied with the minister's work. Assume that the experimental design was correct. Questions 1 and 2 cover this survey. 1. Find the upper limit of 95% confidence interval for the difference in the proportion of men and women who are happy with the work of the Minister (let men be group 1). 1. 0.03. 2. 0.09. 3. 0.15. 4. It is not possible to apply a normal approach and therefore we can not calculate the confidence interval. 2. What is the rejection area if it is to be examined whether the proportion of men and women who are satisfied with the job of Prime Minister is different (use a = 0.05)? 1. RejectHO efz 1.96. 2. Reject HO if z> 1.64. 3. RejectHO efz> -1.96 or <1.96. 4. Insufficient information provided to answer this.
A researcher wants to estimate the true proportion of Americans who suffer side-effects after taking a particular medication. A 99% confidence interval for the true proportion of Americans who suffer side-effects after taking the particular medication was found to be (0.024, 0.160). If a hypothesis test is conducted with the hypotheses, H,: p = 0.10 vs H: p# 0.10 , what would be the most likely conclusion? Select one: a. There is very strong evidence that p 0.10. Ob. There is little to no evidence that p = 0.10. c. There is little to no evidence that p # 0.10. d. Cannot tell.
If n=�=25, ¯x=�¯=45, and s=�=6, find the margin of error E� at a 95% confidence level. Give your answer to at least two decimal places.
Two researchers, Jaime and Mariya, are each constructing confidence intervals for the proportion of a population who is lef-handed. They find the point estimate is 0.23. Each independently constructed a confidence interval based on the point estimate, but Jaime's interval has a lower bound of 0.220 and an upper bound of 0.234, while Mariya's interval has a lower bound of 0.169 and an upper bound of 0.272. Which interval is wrong? Why? 28 Choose the correct answer below. OA Jaime's interval is wrong because it does not include the point estimate. OB. Mariya's interval is wrong because it is too wide. OC. Mariya's interval is wrong because it is not centered on the point estimate, OD. Jaime's interval is wrong because it is to narrow O of 36
Suppose that you wanted to know if the percentage of people who will attend a sporting event this year will decrease. Last year, 43% of Americans attended a sporting event. After taking a sample, you attain a sample percentage of 18% with a margin of error of 3%. Construct a confidence interval and use that interval to determine if the number of Americans who will attend a sporting event has decreased. Show your calculation for the interval and then state your conclusion in complete sentences.
Two different researchers measured the weight of two separate samples of ruby-throated hummingbirds from the same population. Each calculated a 95% confidence interval for the mean weight of these birds. Researcher 1 found the 95% confidence interval to be 3.12 g < μ < 3.48 g while Researcher 2 found the 95% confidence interval to be 3.05g < μ < 3.62 g. Why would the two researchers get different answers? Which researcher most likely had the larger sample? Can you be certain about your answer in part (b)? Why or why not?
Suppose the goal is to estimate the parameter stated in question 3 using a 95% confidence interval with margin of error no larger than 0.048. What is the minimum number of trick-or-treaters that would need to be selected to allow the calculation of a 95% confidence interval with margin of error no larger than 0.048? It can be assumed for this problem only that the proportion of all people who went trick-or-treating who received fruit in addition to candy is 0.24 and this number can be used for this problem. Which of the following is the correct answer? 204.13 123.14 304.13 123 305 205 304 124 204
Ellie and Alec are each attempting to estimate the proportion of coffee drinkers who consume more than one cup of coffee per day. They each obtain a random sample of coffee drinkers, and, in each sample, the proportion who drink more than one cup of coffee per day is 0.40. Ellie and Alec each use their sample data to construct a confidence interval. Ellie’s interval is from 0.286 to 0.514, and Alec’s interval is from 0.346 to 0.474. One of these intervals was computed correctly, but the other was not. Which interval must be incorrect? A. Ellie’s interval must be incorrect. B. Alec’s interval must be incorrect. C. It’s impossible to answer this question without knowing the level of confidence used for each interval. D. It’s impossible to answer this question without knowing the sample sizes. E. It’s impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval.
Please solve the a, b, c, and d.

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