(17) A data scientist takes the above squirrel data and calculates a 95% confidence interval for theproportion of red squirrels in Minnesota to be (27%, 43%).a) Interpret this 95% confidence interval.b) Interpret the 95% confidence level.c) If the data scientist had instead calculated a 90% confidence interval, how would that 90%confidence interval compare to the 95% confidence interval above?d) A scientist at the DNR believes that 40% of the squirrels in Minnesota are red squirrels. Whatdoes the 95% confidence interval calculated above suggest about this scientist's beliefs?

As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted... A…

Answered: (17) A data scientist takes the above…

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 genetic experiment with peas resulted in one sample of offspring that consisted of 427 green peas and 158 yellow peas. a. Construct a 90% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?
A consumer group reports that a 90% confidence interval for the mean fat content of chicken nuggets from a fast-food restaurant is (14, 18). What is the mean fat content for the sample of 30 chicken nuggets or the point estimate that help make this confidence interval? A. 32 B. 16 C. 2
Part a) Find the 68% confidence interval for the percentage of leaky diapers in Example 4.4.4. Note that it is 8 percentage points long. Part b) Find the 95% confidence interval for the percentage of leaky diapers in Example 4.4.4 assuming 200 diapers were tested and 20% were leaky. Note that it is not 8 percentage points long. Part c) Find the 95% confidence interval for the percentage of leaky diapers in Example 4.4.4 assuming 400 diapers were tested and 20% were leaky. Note that it is 8 percentage points long.Also, for exercise 40, fair means that heads happens with probability 0.5. Asking if a coin is fair is asking whether 0.5 is inside the confidence interval. The diaper manufacturer of Example 4.4.4, page 149, decides that theconfidence interval obtained is too wide, at 16 percentage points. Hewould like to narrow it to half the width, i.e. 8 percentages points.(Hint: you may want to use the results of Exercise 38.) a) Show that reducing the confidence level to 68%, he can get…
The dean of students at a large college is interested in learning about their opinions regarding the percentage of first-year students who should be given parking privileges in the main lot. He sends out an email survey to all students about this issue. A large number of first-year students reply but very few sophomores, juniors, and seniors reply. Based on the responses he receives, he constructs a 90% confidence interval for the true proportion of students who believe first-year students should be given parking privileges in the main lot to be (0.71, 0.79). Which of the following may have an impact on the confidence interval, but is not accounted for by the margin of error? response bias O nonresponse bias O sampling variation O undercoverage bias
Suppose the English department of a local university has a total of 105 faculty members. Of this number, 24 (about 23%) are part-time instructors. Is it appropriate to find a confidence interval for the percentage of part-time instructors in the department? Find a 95% confidence interval or explain why you should not find a confidence interval for the percentage of part-time instructors in the English department.
15. Pain after surgery: In a random sample of 50 patients undergoing a standard surgical procedure, 15 required medication for postoperative pain. In a random sample of 90 patients undergoing a new procedure, only 16 required pain medication. a. Construct a 95% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. b. A physician claims that the proportion of patients who need pain medication is the same for both procedures. Does the confidence interval contradict this claim? 16
A genetic experiment with peas resulted in one sample of offspring that consisted of 425 green peas in a 162 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. it was expected at 25% of the offspring peas would be yellow. Given the percentage of offspring yellow peas is not 25%, do the results contradict expectations?
A sociologist is comparing the proportion of teenage boys who receive a text message at least once an hour to the percentage of teenage girls who do. She has collected data from 150 men and 150 women. Which of the following is not a condition that the sociologist should check before creating a confidence interval for the difference in population proportions?
8.2 Question 3). According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, Arkansas had 1,601 complaints of identity theft out of 3,482 consumer complaints ("Consumer fraud and," 2008). Calculate a 90% confidence interval for the proportion of identity theft in Arkansas.
5.) A genetic experiment with peas resulted in one sample of offspring that consisted of 410 green peas and 151 yellow peas. a. Construct a 90% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?
A genetic experiment with peas resulted in one sample of offspring that consisted of 442 green peas and 156 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradictexpectations?
A genetic experiment with peas resulted in one sample of offspring that consisted of 448 green peas and 171 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations? Express the percentages in decimal form.

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