Help please KResearchers conducted trials to investigate the effects of color on creativity. Subjects with a red background wereasked to think of creative uses for a brick; other subjects with a blue background were given the same task.Responses were scored by a panel of judges and results from scores of creativity are given in the accompanyingtable. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performanceon a creative task." Assume that the two samples are independent simple random samples selected from normallydistributed populations, and do not assume that the population standard deviations are equal. Complete parts (a)and (b).Click the icon to view the summary statistics.a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task.What are the null and alternative hypotheses?OA. Ho: H1 H2H₁ H₁H₂OC. Ho: H₁H₂H₁ H₁ H₂Response Summary StatisticsThe test statistic, t, is(Round to two decimal places as needed.)The P-value is. (Round to three decimal places as needed.)State the conclusion for the test.Background(...)O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhancesperformance on a creative task.BlueRedOB. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performanceon a creative task.OC. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhancesPrintμnXH₁ 33 4.27H₂ 46 3.46OB. Ho: H1 H₂H₁ H₁H₂DoneOD. Ho: H1H₂H₁ H1 H₂S0.680.84-X claim that blue enhancesbout the confidence interval?lence to support the claim that State the conclusion for the test.OA. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.OB. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.OC. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.OD. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.b. Construct the confidence interval suitable for testing the claim in part (a). What is it about the confidence interval that results in the same conclusion from part (a)?DH-H(Round to two decimal places as needed.)What is it about the confidence interval that results in the same conclusion from part (a)?The confidence interval containsso there:sufficient evidence to support the claim that blue enhances performance on a creative task

Question

Help please KResearchers conducted trials to investigate the effects of color on creativity. Subjects with a red background wereasked to think of creative uses for a brick; other subjects with a blue background were given the same task.Responses were scored by a panel of judges and results from scores of creativity are given in the accompanyingtable. Higher scores correspond to more creativity. The researchers make the claim that &#34;blue enhances performanceon a creative task.&#34; Assume that the two samples are independent simple random samples selected from normallydistributed populations, and do not assume that the population standard deviations are equal. Complete parts (a)and (b).Click the icon to view the summary statistics.a. Use a 0.01 significance level to test the claim that blue enhances performance on a creative task.What are the null and alternative hypotheses?OA. Ho: H1 H2H₁ H₁H₂OC. Ho: H₁H₂H₁ H₁ H₂Response Summary StatisticsThe test statistic, t, is(Round to two decimal places as needed.)The P-value is. (Round to three decimal places as needed.)State the conclusion for the test.Background(...)O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhancesperformance on a creative task.BlueRedOB. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performanceon a creative task.OC. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhancesPrintμnXH₁ 33 4.27H₂ 46 3.46OB. Ho: H1 H₂H₁ H₁H₂DoneOD. Ho: H1H₂H₁ H1 H₂S0.680.84-X claim that blue enhancesbout the confidence interval?lence to support the claim that State the conclusion for the test.OA. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.OB. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.OC. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task.OD. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.b. Construct the confidence interval suitable for testing the claim in part (a). What is it about the confidence interval that results in the same conclusion from part (a)?DH-H(Round to two decimal places as needed.)What is it about the confidence interval that results in the same conclusion from part (a)?The confidence interval containsso there:sufficient evidence to support the claim that blue enhances performance on a creative task

Accepted Answer

given data bluex¯1  = 4.27s1 = 0.68n1 = 33redx¯2  = 3.46s2 = 0.84n2 = 46α = 0.01claim : μ1 > μ2