One of the biggest issues facing e-retailers is the ability to turn browsers into buyers. This is measured by the conversion rate, the percentage of browsers who buy something in their visit to a site. The conversion rate for a company's website was 10.1 %. The webs site at the company was redesigned in an attempt to increase its conversion rates. A sample of 200 browsers at the redesigned site was selected. Suppose that 24 browsers made a purchase. The company officials would like to know if there is evidence of an increase in conversion rate at the 5% level of significance. 1.) The parameter the company officials is interested in is (choose one below) a. the proportion of browsers who buy something in their visit to the company's website. b. the total number of browsers who buy something in their visit to the company's website. c. the mean number of browsers who buy something in their visit to the company's website. d. the mean number of company officials who buy something in their visit to the company's website. 2. State the alternative hypothesis for this study a. p=5% b. p ≠ 10.1% c. p>10.1% d. p=10.1% 3) The null hypothesis will be rejected if the test statistic is (choose one): a. less than -1.645 b. greater than 1.645 c. greater than -1.645 d. less than 1.645 4.) What is the p-value? a. 0.108 b. 0.892 c. 0.814 d. 0.186 5) Can we conclude that there is sufficient evidence that the conversion rate at the company's website has increased using a level of significance of 0.05. a. No b. Yes c. Depends
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One of the biggest issues facing e-retailers is the ability to turn browsers into buyers. This is measured by the conversion rate, the percentage of browsers who buy something during their visit to a site. The conversion rate for a company's website was 10.1%. The website at the company was redesigned in an attempt to increase its conversion rates. Samples of 200 browsers at the redesigned site were selected. Suppose that 24 browsers made a purchase. The company officials would like to know if there is evidence of a change in the conversion rate at the 5% level of significance. a) State the null hypothesis for this study. b) State the alternative hypothesis for this study. c) What critical value should the company use to determine the rejection region? Show your work.
Adi S.
Text 1: The president of a university would like to estimate the proportion of the student population that owns a personal computer. In a sample of 500 students, 417 own a personal computer. The sampling error of a 99% confidence interval for the proportion of the student population who own a personal computer is: (Keep four decimal places) Text 2: One of the biggest issues facing e-retailers is the ability to turn browsers into buyers. This is measured by the conversion rate, the percentage of browsers who buy something in their visit to a site. The conversion rate for a company's website was 10.1%. The website at the company was redesigned in an attempt to increase its conversion rates. A sample of 200 browsers at the redesigned site was selected. Suppose that 24 browsers made a purchase. The company officials would like to know if there is evidence of an increase in conversion rate at the 5% level of significance. The null hypothesis will be rejected if the test statistic is greater than: (Keep three decimal places) Text 3: Given the following information, calculate the degrees of freedom that should be used in the pooled-variance t test. Group 1 Group 2 S^2 4.140 3.168 n 26 23
Rachel G.
Question 3 A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32% buy something and decide to test the claim. You stand by the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that only 20 people made a purchase. The p-value of the test is about: 0.3520 0.2439 0.0698 0.3446 0.4521 Question 4 A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32% buy something and decide to test the claim. You stand by the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that only 20 people made a purchase. When testing at the 1% significance level, which decision is correct? Fail to reject the null hypothesis. There is not enough evidence to refute the claim that 32% purchase. Reject the null hypothesis. There is not enough evidence to refute the claim that 32% purchase. Fail to reject the null hypothesis. There is sufficient evidence to refute the claim that 32% purchase. Reject the null hypothesis. There is sufficient evidence to refute the claim that 32% purchase. Question 5 A certain type of fiber optic cable transmits light a mean distance of 58 km. A research team wishes to investigate if a modification in the manufacturing process will increase the mean acceptable transmission distance. A sample of twenty batches of cable produced under the new process are tested. The sample mean is 60.3 km with sample standard deviation 2.31 km. Assume the population is normally distributed. State the null and alternative hypotheses: H0 : μ = 58 versus Ha : μ = 60.3 H0 : μ = 60.3 versus Ha : μ < 60.3 H0 : μ = 58 versus Ha : μ > 58 H0 : μ = 58 versus Ha : μ < 58 H0 : μ = 60.3 versus Ha : μ > 60.3
Jon S.
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