Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. De married couples choose ar or different personality types in their mates? The following data give an indication. Similarities and Differences in a Random Sample of 375 Married Couples Number of Similar Preferences All four Three Two One None Number of Married Couples 26 133 111 70 35 ppose that a married couple is selected at random. (a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (Enter your answers to 2 decimal places.) (b) De the probabities add up to 17 why should they? O Yes, because they do not cover the entire sample spece ONo, because they do not cover the entire sample space O Yes, because they cover the entire sample space. O No, because they cover the entire sample space What is the sample space in this problem? O 0, 1. 2,3 personality preferences in common O1.2,3,4 personality preferences in common O0, 1, 2, 3, 4, 5 personalty preferences in common O 0, 1, 2, 3,4 personality preferences in comman

Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. De married couples choose ar or different personality types in their mates? The following data give an indication. Similarities and Differences in a Random Sample of 375 Married Couples Number of Similar Preferences All four Three Two One None Number of Married Couples 26 133 111 70 35 ppose that a married couple is selected at random. (a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (Enter your answers to 2 decimal places.) (b) De the probabities add up to 17 why should they? O Yes, because they do not cover the entire sample spece ONo, because they do not cover the entire sample space O Yes, because they cover the entire sample space. O No, because they cover the entire sample space What is the sample space in this problem? O 0, 1. 2,3 personality preferences in common O1.2,3,4 personality preferences in common O0, 1, 2, 3, 4, 5 personalty preferences in common O 0, 1, 2, 3,4 personality preferences in comman

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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Are Republicans more likely than Democrats to display the American flag in front of their residence on the Fourth of July? A simple random sample of 618 Republicans were surveyed and 408 said they display the flag on the Fourth of July. Another simple random sample of 615 Democrats were surveyed and 394 said they display the flag on the Fourth of July. Let p1p1 be the proportion of all Republicans who display the American flag on July 4th and p2p2 be the proportion of all Democrats who display the American flag on July 4th. What can be concluded at the αα = 0.10 level of significance? H0:H0: Select an answer μ p1-p2 μ1-μ2 μd p Select an answer ≠ < > = (please enter a decimal) H1:H1: Select an answer μ p1-p2 μd p μ1-μ2 Select an answer ≠ > = < (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
The following table shows the ethnic origins of two random samples of students from a Canadian university, one from 2012 and the other from 2022: European 2012 2022 African Asian 308 58 52 364 100 58 Note: Canadian born students are classified according to their ancestry. (a) What would be an appropriate test to check if there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022? Justify your answer. ] Other 22 38 (b) Based on your answer in (a) above, test whether there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022. Use a 5% significance level and show your detailed manual calculations and all the steps of your hypothesis test (hypotheses, significance level, expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria, critical value and p-value, conclusion with justification). (Manual…
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A marketer is examining the effectiveness of color scheme on the willingness to subscribe to a user's social media account. She creates three different profiles using three different color schemes: red, blue, and green. Twenty participants are asked to evaluate how much they like each of the profiles using a scale of 1 (do not like) to 5 (like a lot). What statistical procedure should you use to analyze these data? O independent groups t test O correlated groups t test O One Way Between Subjects ANOVA O One Way Repeated Measures ANOVA
A survey described the results of a poll of working adults in Canada. Each person in a random sample was classified according to gender and the number of vacation days he or she usually took each year. The resulting data are summarized in the given table. Days of Vacation Gender Male Female None 51 42 1-5 21 25 6-10 67 79 11-15 106 98 16-20 71 70 21-25 82 58 More than 25 118 79 (a) Is it reasonable to conclude that there is an association between gender and the number of vacation days taken?Test the appropriate hypotheses using a 0.05 significance level. Calculate the test statistic. (Round your answer to two decimal places.)?2 =
The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender: Opinion Female Male Almost no chance 120 94 Some chance but probably not 156 178 A 50-50 chance 427 498 A good chance 750 700 Almost certain 1176 770 How many individuals are described in this table? How many females were among the respondents? The percent of females among the respondents was about %. Your percent from the previous exercise is part of the marginal distribution of opinion about marriage. the conditional distribution of sex among adolescents with a given opinion. the marginal distribution of sex. What percent of females thought that they were almost certain to be married in the next 10 years?% Your percent from the previous exercise is part of the conditional distribution of sex among…
The table below gives beverage preferences for random samples of teens and adults. Teens Adults Total Coffee 55 200 255 Tea 100 150 250 Soft Drink 195 200 395 Other 50 50 100 400 600 1000 We are asked to test for independence between age (i.e., adult and teen) and drink preferences. The test statistic for this test of independence is
Is there an association between hair color and body type? The table below shows the results of a researcher's observations of randomly selected people. Frequencies of Hair Colors for Various Body Types Blonde Brunette Red Head 71 80 96 108 55 115 46 91 Short and Slender Short and Pudgy Tall and Slender Tall and Heavy What can be concluded at the o= 0.01 significance level? 53 74 69 63