A pollster asked 1007 adults whether Republicans or Democrats have better domestic economicpolicies. The following table gives the two-way classification of their opinions.(Data are randomlygenerated)MaleFemaleRepublicans Democrats No Opinion2243393917120529The pollster randomly selects an adult from these 1007 adults. Let p₁ be the probability that theadult is a male, p2 the probability that the adult is a female or has no opinion, P3 the probability thatthe adult thinks that Democrats have better domestic economic policies knowing that the adult is afemale, and p4 the probability that the adult is a female ans thinks that Democrats have betterdomestic economic policies. Then the P₁, P2, P3, and p4 are, respectively, (Choose one from thefollowing which is closest to the correct answer.)O b. 0.4022, 0.4697, 0.5062, 0.2036.O e. 0.5978, 0.4409, 0.5062, 0.2173.O c. 0.5978, 0.4409, 0.5062, 0.2036.O d. 0.5978, 0.4409, 0.2036, 0.5062.a. 0.5978, 0.4409, 0.2173, 0.2036.

Republicans Democratsno opinion Total Male 22433939602Female 17120529405Total 395544681007we have to…

Answered: A pollster asked 1007 adults whether…

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 article about the California lottery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The article also gave information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lottery ticket purchasers. Based on these sample data, is it reasonable to conclude that one or more of these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. Age of Purchaser Frequency 18–34 36 35–64 130 65 and over 34 Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? The data strong evidence to conclude…
The 2008 general social survey asked a nationally representative sample of 1324 adult americans to report how many hours of television they watch in a typical day. The resulting data are reported in the following table counts. What is the mean numbers of hours of tv watched?
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A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 37 46 59 83 225 No 213 204 191 167 775 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…
The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…
A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 49 59 61 84 253 No 201 191 189 166 747 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…
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Political parties want to know what groups of people support them. The General Social Survey (GSS) asked its 2014 sample, "Generally speaking, do you usually think of yourself as a Republican, Democrat, Independent, or what?" The GSS is essentially an SRS of American adults. The large two‑way table provided breaks down the responses by the highest degree the subject held. None High School Jr. College Bachelor Graduate Strong Democrat 53 198 23 81 64 Not strong Democrat 52 204 31 70 49 Independent, near Democrat 40 163 26 66 42 Independent 118 251 36 67 30 Independent, near Republican 24 136 19 45 2525 Not strong Republican 19 142 30 71 30 Strong Republican 18 131 15 53 28 Other party 5 31 3 15 8 Use the four‑step process and the full table of counts to analyze the differences in political party support among levels of education. The sample is so large that the differences are bound to be highly significant, but provide the chi‑square statistic and its P‑value…

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	Republicans	Democrats	no opinion	Total
Male	224	339	39	602
Female	171	205	29	405
Total	395	544	68	1007