Kllustration 20.23. 1600 families were selected at random in acity to test the belief that high income families usually send theirchilderen to public schools and low income families often send theirchildren toGovernments schools. The following results wereobtained.SchoolPublicGovt.TotalIncomeLowHigh4941625064381000600Total6569441600Test whether income and type of school are independeGnt.

Answered: Image /qna-images/answer/ca626747-2bd0-45c7-b4ab-de9f3bc7766a.jpg

Answered: 1600 families were selected at 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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To test the fairness of law enforcement in Bartow County, a local citizens' group want to know whether women and men are unequally likely to get speeding tickets. Two hundred adults in Bartow County are randomly phoned and asked whether or not they had been cited for speeding in the last year. For a sample of 114 women, 12 were ticketed and 102 were not ticketed. For a sample of 86 men, 11 were ticketed and 75 were not ticketed. Use a 0.05 level of significance to test the claim that women and men are unequally likely to get speeding tickets. Women are sample proportion 1. Men are sample proportion 2. What is the z-test statistic for this problem? Round the answer to two decimal places. What is the p-value for this problem? Round the answer to three decimal places. What is the conclusion when you compare the p-value and the level of significance,? What is the conclusion based on the original claim?
This question refers to a survey of a university's faculty members on affirmative action policies for the university. The survey was based on telephone interviews with a random sample of 1,001 faculty members conducted in December 1995. One of the questions asked was, "Do you favor or oppose using race, religion, sex, color, ethnicity, or national origin as a criterion for admission to the university?" Of the 704 male respondents, 45% said "Favor," and of the 297 female respondents, 72% said "Favor." (a) Find the conservative margin of error (in %) for the male respondents. (Round your answer to one decimal place.) % Use the conservative margin of error to compute an approximate 95% confidence interval for the percent who favored this policy at the time of the poll in the population of male faculty members. (Round your answers to one decimal place.) (_,_)% , % (b) Find the conservative margin of error (in %) for the females. (Round your answer to one decimal…
Assume that 800 births are randomly selected and 39 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Age Group 39 or younger 40 or older Fewer than 6 40 38 6 to 6.9 60 57 7 to 7.9 77 75 8 or more 63 90 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. H0: Hours of sleep per night is not independent of age.Ha: Hours of sleep per night is independent of age. H0: Hours of sleep per night is independent of age.Ha: Hours of sleep per night is not independent of age. H0: The proportion of people who get 8 or more hours of sleep per…
Assume that 900 births are randomly selected and 443 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
Medical researchers followed 6272 Swedish men for 30 years to see if there was any association between the amount of fish in their diet and prostate cancer. (“Fatty Fish Consumption and Risk of Prostate Cancer,” Lancet, June 2001). A summary of the data is given in the table below. Fish Consumption No Prostate Cancers Prostate Cancers Never/Seldom 110 14 Small part of diet 2420 201 Moderate part of diet 2769 209 Large part of diet 507 42 A) If a patient is randomly selected, what is the probability that he/she had prostate cancer given that fish was never or seldom a part of the diet? Round your answer to three decimal places and include the leading zero. B) If a patient is randomly selected, what is the probability that s/he ate fish as a large part of their diet given that they had prostate cancer. Round your answer to two decimal places and include the leading zero.
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The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population of 23,609. Suppose that a survey of 1,419 self-reported Asians in the Manhattan, NY, area yielded the data in the table below. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area. Race Lake Tahoe Frequency Manhattan Frequency Asian Indian 131 174 Chinese 118 557 Filipino 1045 518 Japanese 80 54 Korean 12 29 Vietnamese 9 21 Other 24 66 H0 : _______ Ha : _______ What are the degrees of freedom? State the distribution to use for the test. What is the test statistic? What is the p-value? In one to two complete sentences, explain what the p-value means for this problem. Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding…
Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?
490 undergraduate students at a state university in the southwestern region of the United States were surveyed. Each student in the sample was classified according to class standing (freshman, sophomore, junior, or senior) and body are category (body piercings only, tattoos only, both tattoos and body piercings, no body art). Use the data in the accompanying table to determine if there is an association between class standing and body art category. Assume that it is reasonable to regard the sample as representative of the students at this university. Use α = 0.01. 1. What type of question is this-estimation or hypothesis?2. What type of study is this sample data or experiment data?3. What type of data is this? Univariate or bivariate? Categorical or Numerical?4. How many samples or treatments?

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