Prior to graduation, a high school class was surveyed about their plans after high school.The table below displays the results by gender.PlansGender4-Year College 2-Year CollegeMilitaryWorkOtherMale1983641416Female17636135Suppose we wish to test the null hypothesis that there is no association between plansafter high school and gender. Under the null hypothesis, what is the expected number offemale students who are planning to work?

For the given data Expected number of female students who are planning to work = ?

Answered: Prior to graduation, a high school…

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…
A mathematics placement test is given to all entering freshmen at a small college. A student who receives a grade below 35 is denied admission to the regular mathematics course and placed in a remedial class. A study about the correlation between the placement scores and the final course grade is being written and the placement test scores and final grades for a group of students who took the regular course were recorded as follows: Placement Course Test Grade 50 53 35 41 35 61 40 56 55 68 65 36 35 11 60 70 90 79 35 59 90 54 80 91 60 48 60 71 60 71 40 47 55 53 50 68 65 57 50 79 Is there a significant relationship between the score on the placement test and the course grade of the students? Use 5% level of significance. (Show complete proof/steps with conclusion in statement form)
The table below gives the two-way classification of 400 randomly selected persons based on their status as a smoker or a nonsmoker and on the number of visits they made to their physicians last year. Suppose you must test the hypothesis at 5% level of significance whether there is a relationship between smoking and visits to the physician. Status Visits to the Physician 0-1 2-4 >=5 Smoker 25 60 75 Nonsmoker 110 90 40 The conclusion will be: a) Since 2 56.428 is not greater than 2 s =0.103. we then reject the null hypothesis at 5% level of 0.95.2 significance and conclude that smoking and visits to the physician are related. O b) Since x-= 56.428 is greater than xos ,=0.103, we then fail to reject the null hypothesis at 5% level of significance and conclude that smoking and visits to the physician are related. O c) Since x= 56.428 is greater than xos =0.103 we then reject the null hypothesis at 5% level of significance %3D 95.2 and conclude that smoking and visits to the physician are…
An article about the California lattery 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 artide 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 lattery ticket purchasers. Based on these sample data, is it reasonable to condude that ane or more af these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with a- 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 45 35-64 100 65 and over 55 P-value interval Op
In an interview for a job, the interviewer says that the average annual income of the company's 16 employees is $73,610. The actual annual incomes of the 16 employees are shown below. Which measure of central tendency would be most informative to the potential employee? OOO O O median O mode O mean Orange $12,500 $12,500 $16,430 $17,305 $17,408 $18,980 $20,432 $24,540 $25,676 $28,906 $28,956 $32,654 $94,024 $98,213 $250,921 $478,320
4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. 4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. Table 1. Contingency Table Male Female 88 Favor Not in favor 39 46 92 Table 2. Analysis Result Value df Sig. (2-sided) Stat 17.922 1 .000 a. How many respondents are involved in the study? b. What are the measurement levels of gender and attitude?
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 researcher wants to study the relationship between salary and gender. She randomly selects 392 individuals and determines their salary and gender. Can the researcher conclude that salary and gender are dependent? Income Male Female Total Below $25,000$⁢25,000 48 45 93 $25,000$⁢25,000-$50,000$⁢50,000 38 36 74 $50,000$⁢50,000-$75,000$⁢75,000 46 40 86 Above $75,000$⁢75,000 68 71 139 Total 200 192 392 State the conclusion of the hypothesis test at the 0.010.01 level of significance.
Suppose course evaluation ratings for four college instructors are shown in the following table. Instructor Black Jennings Swanson Wilson 89 87 89 80 80 79 76 83 78 85 69 56 69 83 85 72 96 98 83 88 68 98 85 87 83 84 94 81 82 Use ? = 0.05 and test for a significant difference among the rating for these instructors. State the null and alternative hypotheses. 1. H0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW 2. H0: MedianB ≠ MedianJ ≠ MedianS ≠ MedianW Ha: MedianB = MedianJ = MedianS = MedianW 3. H0: Not all populations of teaching evaluations are identical. Ha: All populations of teaching evaluations are identical. 4. H0: MedianB = MedianJ = MedianS = MedianW Ha: MedianB < MedianJ > MedianS > MedianW 5. H0: All populations of teaching evaluations are identical. Ha: Not all populations of teaching evaluations are identical. Find the value of the test statistic. (Round your answer to…

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