The following data from Borislow show the changed response scores of three groups on the Edwards Personal Preference Schedule. Test the differences among these three groups, using any appropriate nonparametric tests. You may use 5% level of significance.
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- A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the .01 significance level. Pension Plan Job Class Plan A Plan B Plan C Supervisor 10 13 29 Clerical 19 80 19 Labor 81 57 224.A researcher used a sample of n = 50 individuals to determine whether they are any preferences between two new designs for a smart phone (iphone vs samsung) depending on whether they have a PC or Mac computer. If the data produce a chi-square statistic of χ2 = 7.00 what decision should the researcher make? a.There is a significant preference at both α = .05 and α = .01. b.There is no significant preference at α = .05 but there is at α = .01. c.There is a significant preference at α = .05 but not at α = .01. d.There is no significant preference at either α = .05 or α = .01.4. A market analysis wishes to see whether consumers have any preference between five different flavors of chewing gum. A sample of 100 people provided the data below. Does enough evidence exist to reject the claim that no preference exists in the selection of chewing gum flavors? Frequency Observed Expected Mint 32 20 Bubble Gum 28 20 Strawberry 16 20 Grape 14 20 Orange 10 20
- 4. The following table reported the results of a survey on how members would prefer to receive ballots in annual elections. At the 5% significance level, do the data provide sufficient evidence to conclude that gender and preference are associated?The marketing department of your game making company wants to determine if socioeconomic status isrelated to game playing preferences. 100 children, in total, were identified from families of low, middle,and high socioeconomic status and asked to select on of Monopoly, Battleship, or Connect Four. Theresults are shown in the table below. Is there evidence that socioeconomic status is related to gameplaying preference? Use ? = 0.05. Clearly state your hypotheses and provide the relevant p-valueSaeko owns a yarn shop and want to expands her color selection. Before she expands her colors, she wants to find out if her customers prefer one brand over another brand. Specifically, she is interested in three different types of bison yarn. As an experiment, she randomly selected 21 different days and recorded the sales of each brand. At the .10 significance level, can she conclude that there is a difference in preference between the brands? Misa's Bison Yak-et-ty-Yaks Buffalo Yarns 799 776 799 784 640 931 873 822 794 702 812 920 795 673 731 875 893 837 Total 4,828.00 4,616.00 5,012.00 6) What is the null hypothesis? What is the alternative hypothesis? What is the level of significance? 7) Use Tools - Data…
- A researcher used a sample of n = 25 individuals to determine whether they are any preferences between five new designs for a smart phone. If the data produce a chi-square statistic of χ 2 = 10.00 what decision should the researcher make? a. There is a significant preference at both α = .05 and α = .01. b. There is no significant preference at α = .05 but there is at α = .01. c. There is a significant preference at α = .05 but not at α = .01. d. There is no significant preference at either α = .05 or α = .01.The following is a two-way table showing preferences for an award (A, B, C) by gender for the students sampled in survey. Test whether the data indicate there is some association between gender and preferred award. A B C Total Female 20 76 73 169 Male 11 73 109 193 Total 31 149 182 362 Chi-square statistic=_____________ p-value= _________ Conclusion: (reject or do not reject H0) Does the test indicate an association between gender and preferred award? (yes/no)In a surevey, respondents are also asked how many times they have been to theatres in the last 12 months. The following table shows how the frequency of participation preference is distributed across gender. Never Once Two or more Three or more Female 128 43 35 28 Male 112 40 24 20 Q1. What is the conditional percentage of males who have been at the theatre once in the last 12 months? What is the percentage of people of people who have never been at the theatre?Q2. Are gender and theatre participation dependent or independent? Perform a Chi-squared test of independent and discuss if the assumptions for this test are fulfilled. Report also the degrees of freedom of the Chi-squared distribution and the value of the chi-squared statistics for this test.
- A researcher randomly selected 500 patients in a doctors office and found that 90% of these patients had health insurance. The results of this study, if applied to all residents, are questionable because of: a) selection bias b) response bias c) lack of accuracy d) nonreponse biasThe owner of an ice cream shop claims that 40% of his customers prefer chocolate ice cream, 35% prefer vanilla ice cream, 15% prefer strawberry ice cream, and 10% prefer mint ice cream. One of his employees wishes to test this claim. The employee randomly selects 100 customers and asks them about their preferred ice cream flavor. The following table shows the preference of each of the 100 surveyed respondents. Chocolate vanilla strawberry mint 34 31 25 10 Assuming the requirements for the procedure have been met, which of the following procedures should the employee use to test the owner's claim about his customers' ice cream preferences? - chi-square test for homogeneity -chi-square goodness-of-fit test -chi-square test for independence -one-sample ?‑test for a mean -one-sample ?‑test for a proportion(6) A student surveys some students on campus in the evening and finds that 16 out of 20of the students she interviewed are part time students. She uses the data to estimatethe percentage of all students who are part time. What type of bias is present in hersample?(7) A pollster surveys people at a boxing match, asking them if they had even strucktheir spouse. Of the 32 people surveyed, 30 said no and the other 2 did not respond.What type of bias is in this sample?
