ls there evidence, at 5% level, that the choice of Phone Company is independent of the type of worker?
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A survey among the workers in a large manufacturing company was taken, in order to find
out from which company the workers had purchased their mobile phones, and to find out
whether the choice of mobile phone company was related to the type of worker. The results
are shown in the table below.
ls there evidence, at 5% level, that the choice of Phone Company is independent of the type of
worker?
Step by step
Solved in 4 steps with 3 images
- Solve the following problems. Use separate sheets when necessary. 1. 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 en- tered 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 do not differ at 5% level of significance.7h. A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. CurrentYear PreviousYear 345 315 526 451 420 450 216 206 285 263 405 432 635 585 710 650 605 545 517 547 570 496 610 580 Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value =A study compared the felt intensity of unrequited love among three groups - individuals who were currently experiencing unrequited love, those who had previously experienced unrequited love and described their experiences retrospectively, and those who had never experienced unrequited love but described how they thought they would feel if they were to experience it. The results of the study are summarized in the accompanying table. Determine the significance of the difference among groups, using the 5% level. N 40 40 40 M 3.5 3.3 3.7 S2 5.3 5.8 4.8 1. What is th null hyp? 2.The comparison distribution will be an F distribution with df= ? and df=? 3.Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected for the data. At 0.05 the cutoff for F=? 4. Determine the sample's score on the comparison distribution for the data. F=?
- A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 37 46 59 83 225 No 213 204 191 167 775 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…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 workThe researcher is concerned that older persons may not be knowledgeable of the COFLU-20. As such, he is interested in investigating the association between the age of the respondents and their knowledge level. Table 2 below shows the knowledge level of respondents, by age group. Table 2 (image included) Conduct a test, at the 5% level of significance, to determine whether the data provided sufficient evidence to conclude that an association exists between age group and knowledge level. State the hypotheses to be tested: H0: H1: state the degrees of freedom for this test the p-value for this test, given that the chi-square test statistic, c2, is 11.029. state the conclusion for the test. Give reason for your answer.
- A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 49 59 61 84 253 No 201 191 189 166 747 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…A sample of students involved in laboratory accidents was categorized by age. The results appear as: Find the median scoreStudents 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:…
- 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 ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume μd is the difference in average sales between the east side shop and west side shop. a. H0: μd = 0 versus H1: μd ≠ 0.b. H0: μd ≠ 0 versus H1: μd = 0. multiple choice a b Ski Hat Sales on Five Consecutive Saturdays (n = 5) Saturday East Side West Side 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532A group of 40 students in a library was sampled and the type of laptop they were using was examined. It was found that 16 were using HP, 10 were using Lenovo, 6 were using Dell, 5 were using Microsoft, and 3 were using Apple. a. Use the given information to complete the following table: Laptop Type Frequency Relative Frequency HP % Lenovo c. What proportion of the students use HP? b. How many degrees will the segment representing "Lenovo" have on a pie chart? % d. What is the relative frequency for Apple? Dell Microsoft AppleA ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the ski season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) 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…