Does college major depend on gender? Researchers ask a group of college students about their majors. They also groupthe students by their gender. The data are recorded in the contingency table below, and a chi-square Test ofIndependence at the 1% significance level is performed.ArtsHumanitiesSciencesRow TotalMen166.2042Women201644Column Total24263686(a) The null and alternative hypotheses are:• Ho: The two variables are independent, so gender does not affect college major.• Ha: The two variables are dependent, so gender does affect college major.(b) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to onedecimal place.)Provide your answer below:test statistic

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Answered: Does college major depend on gender?…

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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Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
Conduct an hypothesis testing using a 5% significance level Using P value or classical approach. Determine whether votes for governor in a particular election are independent of the voter's political party affiliation.
Passed Failed White candidates Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.01 significance level. Minority candidates Determine the null and alternative hypotheses. O A. Ho: White and minority candidates have the same chance of passing the test. H: White and minority candidates do not have the same chance of passing the test. O B. Ho: A white candidate is more likely to pass the test than a minority candidate. H: A white candidate is not more likely to pass the test than a minority candidate. O C. Ho: A white candidate is not more likely to pass the test than a minority candidate. H: A white candidate is more likely to pass the test than a minority candidate O D. Ho: White and minority candidates do not have the same chance of passing the test. H: White and minority candidates have the same chance of passing the test. Determine the test statistic. =…
Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest. Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102 We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha: Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0 B. What the test statistics? You probably need to find the pooled proportion first. Pooled proportion is ___________. 0.6 0.78 0.6844 C. Test statistic is ________. 3.46 1.28 66.41 4.36
At the end of many college courses, students are asked to rate the course. The school administration is interested in whether the rating for the course is independent of the reason for taking the course. Perform a hypothesis test at the 5% level of significance. Fill in the expected counts in the chart. Excellent Good Fair Poor Course Required 24 16 22 46 Course Elective 18 10 16 56
Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed. Arts Humanities Sciences Row Total Men 11 5 19 35 Women 11 22 9 42 Column Total 22 27 28 77 (a) The null and alternative hypotheses are: H0: The two variables are independent, so gender does not affect college major. Ha: The two variables are dependent, so gender does affect college major. (b) Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)
Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…
5. In a certain county, the local newspaper reports that the average family income for that county is $45,000. Economists at the university believe that first-time home buyers have an average family income which is higher than this. Which of the following hypotheses would be appropriate for a significance test? Ho: u= 45, 000 Ha: µ# 45, 000 b. H.: u= 45, 000 Ha: µ> 45, 000 H.: u= 45, 000 Ha: u 45, 000 Ha: u = 45, 000 a. C. е.
Tne roilowing tapie contains tne scores rom a group or 1ɔ nign scnooi seniors on a psycnoiogicai assessment or positive arrect ror tne supject or matn ana tneir scores on the same assessment for the subject of chemistry. The assessment measures the strength of the student's positive feelings towards the subject on a 40-point scale, with 40 being the most positive. Positive Affect Assessment Score for Math Assessment, x Score for Chemistry Assessment, y 25 20 31 24 7 10 31 25 10 4 8 27 26 9 8 10 9 9 29 28 16 17 23 17 26 14 40 28 Copy Data Step 1 of 2: Calculate the sum of squared errors, SSE, based on a regression analysis of the assessment data. Round your answer to two decimal places, if necessary.
A corporate lawyer wonders whether the vigor of antitrust enforcement differed in the 2010s compared to the 2000s. A sample of 10 firms is selected from the Fortune 500 list, and the data of table below are collected. Make an appropriate hypothesis test at the 5 percent level of significance using sign test. Number of Indictments (Charges) Firm 2000s 2010s A 5 7 B 6 8 C 2 3 D 7 9 E 10 9 F 15 20 G 9 18 H 12 7 I 8 12 J 3 7
Which part(s) is it reasonable to say that a. Factor A does not affect the mean of the response variable. b. Factor B does not affect the mean of the response variable. c. neither factor affects the mean of the response variable. Each graph in Fig. C.4 shows a plot of the cell means for a 2 × 2 ANOVA. For each part, using only the graphs, conjecture on the results of the three hypothesis tests. (Note: For convenience we have denoted the two levels of Factor A as A1 and A2.) FIGURE C.4

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