A market research study conducted by a local winery on white wine preference found the following results. Of a sample of 500 men, 120 preferred white wine. Of a sample of 500 women, 210 preferred white wine. What do you conclude at α = .05 about the claim that the proportion of women who prefer white wine is more than 25 percent higher than the proportion of men who prefer white wine?
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A market research study conducted by a local winery on white wine preference found the following results. Of a sample of 500 men, 120 preferred white wine. Of a sample of 500 women, 210 preferred white wine. What do you conclude at α = .05 about the claim that the proportion of women who prefer white wine is more than 25 percent higher than the proportion of men who prefer white wine?
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- In a public opinion survey, 60 out of a sample of 100 high-income voters and 40 out of a sample of 75 low-income voters supported a decrease in value-added tax, VAT. Conclude at the 5% level of significance that the population of voters favouring a VAT decrease differs between high- and low-income voters. (Where p1 is the proportion of all high-income voters who supported a decrease in VAT; p2 is the same for the low-income voters). The rejection region to test the above hypothesis at the 5% significance level (rounded off to two decimals) is: A. T < -1.96 B. T < -1.64 or Z > 1.64 C. Z < -1.96 or Z > 1.96 D. Z < -1.64 E. None of the precedingIn a public opinion survey, 60 out of a sample of 100 high-income voters and 40 out of a sample of 75 low-income voters supported a decrease in value-added tax, VAT. Conclude at the 5% level of significance that the population of voters favouring a VAT decrease differs between high- and low-income voters. (Where p1 is the proportion of all high-income voters who supported a decrease in VAT; p2 is the same for the low-income voters). The rejection region to test the above hypothesis at the 5% significance level is: A. T < - 1.96 B. T < - 1.96 or Z > 1.64 C. Z< - 1.96 or Z > 1.96 D. Z < -1.64In a public opinion survey, 60 out of a sample of 100 high-income voters and 40 out of a sample of 75 low-income voters supported a decrease in value-added tax, VAT. Conclude at the 5% level of significance that the population of voters favouring a VAT decrease differs between high- and low-income voters. (Where p1 is the proportion of all high-income voters who supported a decrease in VAT; p2 is the same for the low-income voters). The hypotheses are: A. H0: p1 - p2 = 0 vs H1: P1 - p2 ≠ 0 B. H0: p1 - p2 > 0 vs H1- P1 - p2 < 0 C. H0: p1 - p2 > 0 vs H1: P1 - p2 ≠ 0 D. H0: p1 - p2 ≠ 0 vs H1: P1 - p2 = 0 E. None of the preceding
- In a public opinion survey, 60 out of a sample of 100 high income voters and 40 out of a sample of 75 low income voters supported a decrease in value added tax VAT. Conclude at the 5% level of significance that the proportion of voters favoring a VAT Degrees difference between high and low income voters. (Where P1 is the proportion of all high income voters who is supported a decrease in VAT, p2 is the same for the low income voters ). The value of the test statistic to test the hypothesis is _____ and hence _____ A. T = - 0.668,accept H0 B. T = - 4.117,reject H0 C. Z= 0.882,accept H0 D. T = 2.313,reject H0 E. Z = 0.882,reject H0Researchers at the University of Houston decided to test the hypothesis that restaurant servers who squat to the level of their customers would receive a larger tip (“Effect of Server Posture on Restaurant Tipping,” Journal of Applied Social Psychology [1993]: 678–685). In the experiment, the waiter would flip a coin to deter- mine whether he would stand or squat next to the table. The waiter would record the amount of the bill and of the tip and whether he stood or squatted.a. Describe the treatments and the response variable. b. Discuss possible extraneous variables and how theycould be controlled.c. Discuss whether blocking would be necessary.d. Identify possible confounding variables.e. Discuss the role of random assignment in thisexperiment.A group of college students believes that herbal tea has remarkable restorative powers. To test their theory, they make weekly visits to a local nursing home, visiting with residents, talking with them, and serving them herbal tea. After several months, many of the residents are more cheerful and healthy. (a) Which of the following may be correctly concluded from this study? A. Herbal tea does improve one's emotional state, at least for the residents of nursing homes. B. The results of the study are not convincing because the effect of herbal tea is confounded with several other factors. C. The results of the study are not convincing because only a local nursing home was used and only for a few months. D. There is some evidence that herbal tea may improve one's emotional state. The results would be completely convincing if a scientist had conducted the study rather than a group of college students. (b) The lurking variable in this experiment is A. the emotional state of the residents.…
- In a comparative study of two new drugs, A and B, 350 patients were treated with drug A, and 225 patients were treated with drug B. (The two treatment groups were randomly and independently chosen.) It was found that 241 patients were cured using drug A and 157 patients were cured using drug B. Let p1 be the proportion of the population of all patients who are cured using drug A, and let p2 be the proportion of the population of all patients who are cured using drug B. Find a 90% confidence interval for −p1p2 . Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas.) What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?A foreign car manufacturer advertises that its newest model, the Bullet, rarely stops at gas stations. In fact, they claimed that its EPA rating for highway driving is at least 32.5 mpg. However, the results of a recent independent study determined the mpg for 50 identical models of the Bullet, with these results: n = 50, x= 30.4 mpg, and s = 5.3 mpg.This report failed to offer any conclusion, and you have been asked to interpret these results by someone who has always felt that the 32.5 figure is too high. What would be your conclusion using a significance level of 5%?Z = 1.645In a test of the hypothesis that females smile at others more than males do, females and males were videotaped while interacting and the number of smiles emitted by each sex was noted. Using the following information regarding number of smiles in the five-minute interaction, examine whether there are sex differences in the number of smiles. Males Females N1 = 5 N2 = 5 X1 = 7.6 X2 = 15.2 S12 = 17.04 S22 = 8.96 Which is the independent variable and which is the dependent variable? What is your research hypothesis? What is your null hypothesis? Which test should you use (Two Sample Independent t, ANOVA, Chi-square, or correlation )? Calculate the test statistic. interpret whether you have statistically significant results when α = .05. State whether the null hypothesis is rejected. Include critical region. Provide an overall sentence about the…
- A survey among the workers in a large manufacturing company was taken, in order to findout from which company the workers had purchased their mobile phones, and to find outwhether the choice of mobile phone company was related to the type of worker. The resultsare shown in the table below. ls there evidence, at 5% level, that the choice of Phone Company is independent of the type ofworker?The sales manager of a company has budgeted K120, 000 for an advertising programme for one of the firm’s product. The selected advertising programme consists of running advertisements in two different magazines. The advertisement for magazine 1 costs K2000 per run while the advertisement for magazine 2 costs K.5000 per run. Past experience has indicated that at least 20 runs in magazine 1, and at least 10 runs in magazine 2 are necessary to penetrate the market with any appreciable effect. Also, experience has indicated that there is no reason to make more than 50 runs in either of the two magazines. How many runs in magazine 1 and how many in magazine 2 should be made? Use simplex method.A sample of 100 college students is selected from all students registered at a certain college, and it turns out that 38 of them participate in intramural sports. True or false: a) The proportion of students at this college who participate in intramural sports is 0.38. b) The proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.