A supermarket owner conducted a survey on the preference of the customers to a certain brand of coffee sold in his supermarket. The first 100 customers who entered the supermarket on a given day were interviewed and the results are shown below. Brand Brand x Brand y Brand z No. of 25 45 30 Customers Test the hypothesis that brand preference of the customers does not differ at 5% level of significance.
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- A company is carrying out a consumer satisfaction survey for two of its products, product A and product B. The company believes that product A receives a higher proportion of satisfied customers than product B. Out of the 80 product A customers surveyed, 52 said they were satisfied with the product and out of the 100 product B customers surveyed, 42 said they were satisfied with the product. Use these sample statistics to compare the proportion of product A customers that are satisfied, p 1, and the proportion of product B customers that are satisfied, p 2. i) Carry out a hypothesis test for a significant difference between the two population proportions, at significance level α = 0.05. The hypotheses being tested are: H 0: p 1 - p 2 = 0 H a: p 1 - p 2 ≠ 0. Complete the test by filling in the blanks in the following:An estimate of the difference in population proportions is .The standard error is (3 dec places).The distribution is (examples: normal / t12 /…A recent study looked at the relationship between condom use and the spread of AIDS, by following heterosexual couples in which one partner was infected with HIV. The couples were classified by their condom use. Of the 98 couples who always used condoms, 4 partners became infected with HIV. Of the 67 couples who did not always use condoms, 11 partners became infected. Test whether the proportions of partners who became infected with HIV are different for each group, using a 5% level of significance. Give each of the following: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your workA clinical trial is conducted to compare a new pain re- liever for arthritis to a placebo. Participants are randomly assigned to receive the new medication or a placebo, and the outcome is pain relief within 30 minutes. The data are shown in Table 7–8. Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance. Pain Relief No Pain Relief New Medication 44 76 Placebo 21 99 How would I use excel with this?
- Students at a major university believe they can save money buying textbooks online rather than at the local bookstores. In order to test this theory, they randomly sampled 25 textbooks on the shelves of the local bookstores. The students then found the "best" available price for the same textbooks via online retailers. The prices for the textbooks are listed in the following table. Based on the data, is it less expensive for the students to purchase textbooks from the online retailers than from local bookstores? Use a = 0.01. Let prices at local bookstores represent Population 1 and prices at online retailers represent Population 2. Textbook Bookstore 1 127 2 51 3 107 4 64 5 138 6 83 7 129 8 88 9 50 10 78 11 111 12 138 13 115 Textbook Prices (Dollars) Online Retailer Textbook 14 15 16 17 18 19 20 21 22 23 24 25 135 51 90 46 125 88 125 92 34 76 95 127 96 Bookstore 53 133 111 90 60 54 118 86 77 56 51 100 Online Retailer 61 130 126 93 67 68 99 84 58 46 34 109 Copy Data Step 2 of 3:…Find tests statitic and p-score.At a recent home football game, the Falcons surveyed fans to name their favorite Falcons player. What type of data was collected? Bivariate and Quantitative Bivariate and Categorical Univariate and Quantitative Univariate and Categorical
- Dataset: NES. Variables: spend8, nesw.) The NES dataset contains spend8, which records the number of government policy areas where respondents think spending should be increased. Scores range from 0 (the respondent does not want to increase spending on any of the policies) to 8 (the respondent wants to increase spending on all eight policies). The NES, of course, polls a random sample of U.S. adults. In this exercise you will analyze spend8 using the Analyze ▶ Compare Means ▶ One-Sample T Test procedure. You then will draw inferences about the population mean. Make sure you weight observations using the nesw variable so your results are nationally representative. A. The spend8 variable has a sample mean of ______.When I was an undergraduate, I helped my father conduct some Child Psychology research about parental influence on gender bias. In this study we interviewed 158 kindergarteners. Our initial question was "What is your favorite color?" where we studied the distribution of "Pink" and "Blue" responses. To our surprise, 38 of the students interviewed responded "Turquoise". Use this information to select the response which correctly answers the question. Being curious, we decided to further interview the children who responded "Turquoise". While he took a lunch break, he told me to select 5 such children to form a group for interviews. How many different possible groups could I have formed? O 769754986 O 5.297 x 1036 O 501942 O 1109750A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the ski season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume μd is the difference in average sales between the east side shop and west side shop. a. H0: μd = 0 versus H1: μd ≠ 0.b. H0: μd ≠ 0 versus H1: μd = 0. multiple choice a b Ski Hat Sales on Five Consecutive Saturdays (n = 5) Saturday East Side West Side 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532
- A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the ski season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 Click here for the Excel Data File (b) State the decision rule for 10 percent level of significance. (Round your answers to 3 decimal places.) (c-1) Find the test statistic tcalc. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) (c-2) What is your conclusion? Ski Hat Sales on Five Consecutive Saturdays (n = 5) Saturday East Side West Side 1 548 523 2 493 721 3 609 695…During the pandemic, an HR manager randomly assigned 6 employees to work from homeand the other 6 employees to work from the office as usual. After three months, all 12employees’ job performance was tested. Scores for those working from home were 10, 12,14, 13, 11, 12, and scores for those who worked from the office were 8, 6, 10, 8, 9, and 7.The HR manager then compares the scores from both groups to determine which groupscores significantly higher.Based on the experiment above,a) Carry out a t-test using five steps of hypothesis testing with the 0.05 level ofsignificance at one-tailed. Explain your finding.b) Sketch the t-distribution involved.To test whether there is a difference in the quality of some ballpoint pens produced by Scribulus, Writine, and Fantapen, random samples from each brand were purchased and the following data were collected: Scribulus Writinc Fantapen number purchased failed to write 41 29 16 300 250 200 Use a 5% level of significance to test whether there is any difference in quality measured by the proportion of pens that failed to write.