10. A marketing Manager wants to know if there is any difference in the proportion of consumers who like the taste of his product. He finds that 40 out of a sample of 85 consumers respond that they like the taste of his product. Similarly 35 out of a second sample of 65 consumers respond that they like the taste of the product when they are administered a product of the next competing brand. Based on these observations what should the marketing manager conclude at a 5% significance level ?
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- Back in April and May of 1985, the Gallup organization conducted a poll to estimate the percentage of Americans who approved of how President Reagan was handling his job. At the 5% significance level, do the data suggest that the percentage of those who approved of Reagan increased from April to May in 1985? Population 1: April p = 795/1528 = 0.5203Population 2: May p = 840/1528 = 0.5497Show all your steps, setting up your null and alternative hypothesis.Lynn University wants to examine whether students display better academic performance in class versus online. They have collected GPAs of two different samples of students, a sample from classes that take place in-person and a sample from classes that take place online. The data set is below. They predict that in-class students perform better than online students. GPA's In Class GPA Online GPA 4.0 4.0 3.5 2.2 3.7 3.3 3.5 3.7 2.0 2.5 3.2 3.8 3.3 3.8 What type of t-test should we use for this research question? Group of answer choices a) One sample b) Independent samples c) Paired SamplesA 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 2004 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. a b (b) State the decision rule for 10 percent level of significance. (Round your answers to 3 decimal places.) Reject the null hypothesis if tcalc < or tcalc > . (c-1) Find the test statistic tcalc. (Round your answer to 2…
- 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 /…Is there a relationship between Facebook use and age among college students? The following two-way table displays data for the 219 students who responded to the Age Younger (18–22) Middle (23–27) Older (28 and up) Facebook user? Yes 78 49 21 No 4 21 46 What percent of the students who responded were Facebook users? What percent of the students in the sample were aged 28 or older? What percent of the students who responded were older Facebook users? What percent of the Facebook users in the sample were younger students? Find the distribution of Facebook use for each of the three age groups. Make a stacked bar graph to compare these Describe what the graph in part (e) reveals about the association between age and FacebookA recent drug survey showed an increase in the use of drugs and alcohol among local high school seniors as compared to the national percent. Suppose that a survey of 100 local seniors and 100 national seniors is conducted to see if the proportion of drug and alcohol use is higher locally than nationally. Locally, 66 seniors reported using drugs or alcohol within the past month, while 62 national seniors reported using them. Conduct a hypothesis test at the 5% level. State the distribution to use for the test. What is the p-value?
- 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 workConsider the relationship between p-values and significance levels. a. Explain why a value of z-statistic that is significant at the 1% level in a one-sided test is always significant at the 5% level. b. Explain why the reverse is not true. If something is significant at the 5% level in a one-sided test it is not necessarily significant at the 1% level.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 5 432 532
- The personality characteristics of business leaders (e.g., CEOS) are related to the operations of the businesses that they lead (Oreg & Berson, 2018). Traits like openness to experience are related to positive financial outcomes and other traits are related to negative financial outcomes for their businesses. Suppose that a board of directors is interested in evaluating the personality of their leadership. Among a sample of n = 16 managers, the sample mean of the openness to experiences dimension of personality was M = 4.50. Assuming that u = 4.24 and o = 1.05 (Cobb-Clark & Schurer, 2012), use a two-tailed hypothesis test with a = .05 to test the hypothesis that this company's business leaders' openness to experience is different from the population. Standard Normal Distribution Mean - 0.0 Standard Deviation 1.0 .7198 .1401 .1401 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 -1.08 1.08 Step 1. Ho: ; H;: a = .05. Step 2. The critical region consists of Step 3. For these data the standard error is and…A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat. The data: Achievement_Group Cheat 1 20 1 40 1 49 1 50 1 51 1 51 1 52 1 53 1 58 1 42 1 48 1 48 1 52 1 55 1 55 1 56 1 59 1 67 1 80 1 79 2 19 2 25 2 20 2 29 2 24 2 32 2 25 2 27 2 30 2 55 2 40 2 25 2 27 2 35 2 42 2 30 2 30 2 34 2 40 2 27 3 60 3 65 3 69 3 78 3 79 3 80 3 80 3 90 3 95 3 50 3 55 3 55 3 60 3 69 3 70 3 70 3 88 3 90 3 90 3 91 Before opening the data,…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…