Consider the following hypothesis test. H0: ?d ? 0 Ha: ?d > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 ? Population 2.) Population Element 1 2 Difference 1 21 21 2 28 27 3 18 18 4 20 18 5 26 24 (b) Compute ?. (c) Compute the standard deviation sd. (d) Conduct a hypothesis test using ? = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not Reject H0. There is sufficient evidence to conclude that ?d > 0. Reject H0. There is sufficient evidence to conclude that ?d > 0. Reject H0. There is insufficient evidence to conclude that ?d > 0. Do not reject H0. There is insufficient evidence to conclude that ?d > 0.
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You may need to use the appropriate technology to answer this question. Consider the following hypothesis test: H0: μd ⤠0 Ha: μd > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 - Population 2.) (b) Compute dĢ. (c) Compute the standard deviation sd. (d) Conduct a hypothesis test using α = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Reject H0. There is sufficient evidence to conclude that μd > 0. Reject H0. There is insufficient evidence to conclude that μd > 0. Do not reject H0. There is insufficient evidence to conclude that μd > 0. Do not Reject H0. There is sufficient evidence to conclude that μd > 0.
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Consider the following hypothesis test. H0: μd ⤠0 Ha: μd > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 - Population 2.) Population Element 1 2 Difference 1 21 20 1 2 28 26 2 3 18 15 3 4 20 19 1 5 26 23 3 (b) Compute dĢ. 2 (c) Compute the standard deviation sd. 1 (d) Conduct a hypothesis test using α = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) 4.472 Calculate the p-value. (Round your answer to four decimal places.) p-value = 2.776 What is your conclusion? Reject H0. There is sufficient evidence to conclude that μd > 0.
Consider the following hypothesis test. H0: μ1 - μ2 ⤠0 Ha: μ1 - μ2 > 0 The following results are for two independent samples taken from the two populations. Sample 1: n1 = 45, xĢ1 = 25.7, Ļ1 = 4.9 Sample 2: n2 = 50, xĢ2 = 22.7, Ļ2 = 7.0 a. What is the value of the test statistic (round to 2 decimals)? b. What is the p-value (round to 4 decimals)? Use z-value rounded to 2 decimal places. c. With α = 0.05, what is your hypothesis testing conclusion? p-value is [Select your answer] H0 greater than 0.05, do not reject less than or equal to 0.05, reject
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