What sampling distribution will you use?O normalchi-squareO Student's tuniformbinomialWhat are the degrees of freedom?(c) Find or estimate the P-value of the sample test statistic.O p-value > 0.100O 0.050 < p-value < 0.1000.025 < p-value < 0.050O 0.010 < p-value < 0.0250.005 < p-value < 0.010O p-value < 0.005(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?Since the P-value > a, we fail to reject the null hypothesis.Since the P-value > a, we reject the null hypothesis.Since the P-value ≤ a, we reject the null hypothesis.O Since the P-value ≤ a, we fail to reject the null hypothesis.(e) Interpret your conclusion in the context of the application.At the 1% level of significance, there is insufficient evidence to conclude that Myers-Briggs preference and the profession are not independent.At the 1% level of significance, there is sufficient evidence to conclude that Myers-Briggs preference and the profession are not independent. The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling.Personality TypeTF5382112247OccupationClergy (all denominations)M.D.LawyerColumn TotalUSE SALT9577100272Row Total148159212519Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance.(a) What is the level of significance?State the null and alternate hypotheses.O Ho: Myers-Briggs preference and profession are not independent.H₁: Myers-Briggs preference and profession are independent.O Ho: Myers-Briggs preference and profession are independent.H₁: Myers-Briggs preference and profession are not independent.O Ho: Myers-Briggs preference and profession are independent.H₁: Myers-Briggs preference and profession are independent.Are all the expected frequencies greater than 5?O YesO NoO Ho: Myers-Briggs preference and profession are not independent.H₁: Myers-Briggs preference and profession are not independent.(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

From given data we have :Observed Frequencies B1 B2 Total A1 53 95 148 A2 82 77 159 A3…

Answered: The following table shows the…

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 case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. D Black Color of Helmet Yellow 32 Blue White 331 Controls (not injured) Red 159 482 100 Cases (injured or 211 109 8 65 47 killed) Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Whether a crash occurs and helmet color are dependent H₁: Whether a crash occurs and helmet color are independent OB. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent OC. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent O D. Ho: Injuries and helmet color are independent H₁: Injuries…
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation E I Row Total Clergy (all denominations) 59 48 107 M.D. 72 90 162 Lawyer 51 86 137 Column Total 182 224 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance? (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) What are the degrees of freedom?(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
Ten randomly selected people took an IQ test A, and next day they took a very similar IQ test B. Their scores are shown in the table below. Person A B C D E F G H I J Test A 103 86 93 116 89 104 124 97 108 80 Test B 104 87 96 121 90 104 123 97 112 78 1. Consider (Test A - Test B). Use a 0.05 significance level to test the claim that people do better on the second test than they do on the first. (Note: You may wish to use software.) (a) What test method should be used?A. Two Sample t B. Two Sample z C. Matched Pairs (b) The test statistic is ........ (c) The critical value is .......... (d) Is there sufficient evidence to support the claim that people do better on the second test? A. Yes B. No2. Construct a 95% confidence interval for the mean of the differences. Again, use (Test A - Test B). .......<μ<..........
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation E I Row Total Clergy (all denominations) 63 44 107 M.D. 69 93 162 Lawyer 55 82 137 Column Total 187 219 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. H0: Myers-Briggs preference and profession are independentH1: Myers-Briggs preference and profession are not independent.H0: Myers-Briggs preference and profession are independentH1: Myers-Briggs preference and profession are independent. H0: Myers-Briggs preference and profession are not independentH1: Myers-Briggs preference and profession are independent.H0: Myers-Briggs preference and profession are not independentH1:…
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black White Yellow Red Blue Controls (not injured) 494 343 27 168 99 Cases (injured or killed) 210 107 6 71 47
The type of household for the U.S. population and for a random sample of 411 households from a community in Montana are shown below. Observed Number of Households in the Community Percent of U.S. Type of Household Households Married with children 26% 110 Married, no children Single parent One person Other (e.g., roommates, siblings) 29% 101 32 25% 98 11% 70 Use a 5% level of significance to test the claim that the distribution of U.S. households fits the Dove Creek distribution. (a) What is the level of significance? State the nul and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Hg: The distributions are the same. H: The distributions are different. O Hg: The distributions are the same. H: The distributions are the same. O Hg: The distributions are different. H: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to two decimal places. Round the test…
Personality preferences for a random sample of 519 people in the listed professions are shown in the following table. T refers to THINKING and F refers to FEELING. Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Occupation T F Row Total Clergy 57 91 148 M.D. 77 82 159 Lawyer 118 94 212 Column Total 252 267 519
Hotel Managers' Personalities. Successful hotel managers must have personality characteristics often thought of as feminine (such as "compassionate") as well as those often thought of as masculine (such as "forceful"). The Bern Sex-Role Inventory (BSRI) is a personality test that gives separate ratings for female and male stereotypes, both on a scale of 1 to 7. A sample of 148 male general managers of three-star and four-star hotels had mean BSRI femininity score y = 5.29 The mean score for the general male population is μ = 5.19. Do hotel managers, on the average, differ significantly in femininity score from men in general? Assume that the standard deviation of scores in the population of all male hotel managers is the same as the σ = 0.78 for the adult male population. (a) State null and alternative hypotheses in terms of the mean femininity score μ for male hotel managers. (b) Find the z test statistic. (c) What is the P-value for your z? What do you conclude about male hotel…
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
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation E I Row Total Clergy (all denominations) 58 49 107 M.D. 64 98 162 Lawyer 52 85 137 Column Total 174 232 406 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance?State the null and alternate hypotheses. H0: Myers-Briggs preference and profession are independentH1: Myers-Briggs preference and profession are not independent.H0: Myers-Briggs preference and profession are not independentH1: Myers-Briggs preference and profession are independent. H0: Myers-Briggs preference and profession are not independentH1: Myers-Briggs preference and profession are not independent.H0: Myers-Briggs preference and profession are independentH1:…
The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising 4 7 8 3 7 9 2 6 8 3 6 7 4 7 8 2 6 8 Compute the values identified below (to 2 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares Error Use 0L = .05 to test for a significant difference in perception among the three groups. Calculate the value of the test statistic (to 2 decimals). P-value = Using 0L = .05, determine where differences between the mean perception scores occur. Calculate Fisher's LSD value (to 2 decimals).
The director of student services at Oxnard College is interested in whether women are more likely to attend orientation than men before they begin their coursework. A random sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes| 358 444 No 252 354 What can be concluded at the a = 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Но: Select an answer > Select an answer > Select an answer (please enter a decimal and note that p1 and ul represent the proportion and mean for women and p2 and u2 represent the proportion and mean for men.) H1: Select an answer > Select an answer Select an answer O (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value (Please show your answer to %3D 4 decimal places.)

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