Use 0.05 significance level to test the daim that blue enhances performance on a creative task. What are the null and alternative hypotheses? CAH₂₂₂ H₂ 14 51₂ OCH ₂ The 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 tast ⒸA. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue anhances performance on a creative task CB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OC. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task CD. Feil to reject the null hypothesis. There is sufficient evidence to support the daim that blue entences performance on a creative task. OBH₂=₂ GD hư không có không H₂ ₁ ₂ 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)? <4-1₂ (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 containe so there sufficient evidence to support the claim that blue enhances performance on a creative lask

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Use 0.05 significance level to test the daim that blue enhances performance on a creative task.
What are the null and alternative hypotheses?
CAH₂₂₂
H₂ 14 51₂
OCH ₂
The 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 tast
ⒸA. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue anhances performance on a creative task
CB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task.
OC. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task
CD. Feil to reject the null hypothesis. There is sufficient evidence to support the daim that blue entences performance on a creative task.
OBH₂=₂
GD hư không có không
H₂ ₁ ₂
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)?
<4-1₂
(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 containe
so there
sufficient evidence to support the claim that blue enhances performance on a creative lask
Transcribed Image Text:Use 0.05 significance level to test the daim that blue enhances performance on a creative task. What are the null and alternative hypotheses? CAH₂₂₂ H₂ 14 51₂ OCH ₂ The 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 tast ⒸA. Reject the null hypothesis. There is not sufficient evidence to support the claim that blue anhances performance on a creative task CB. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that blue enhances performance on a creative task. OC. Reject the null hypothesis. There is sufficient evidence to support the claim that blue enhances performance on a creative task CD. Feil to reject the null hypothesis. There is sufficient evidence to support the daim that blue entences performance on a creative task. OBH₂=₂ GD hư không có không H₂ ₁ ₂ 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)? <4-1₂ (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 containe so there sufficient evidence to support the claim that blue enhances performance on a creative lask
Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked 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
accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that
the two samples are independent simple random samples selected from normally distributed 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 0.05 significance level to test the claim that blue enhances performance on a creative task.
What are the null and alternative hypotheses?
OA. Ho: H₁ #1¹₂
H₁: H₁ <H₂
OC. Ho: H₁ 241₂
H₁ H₁ H₂
Response Summary Statistics
Background
Blue
Red
Print
μ
n
X
H₁ 47 4.03
H₂
45 3.49
Done
C
0.66
0.84
OB. Ho: H₁ H₂
H₁: Hy > H₂
OD. Ho: H=H2
H₁: H₁ H₂
X
Transcribed Image Text:Researchers conducted trials to investigate the effects of color on creativity. Subjects with a red background were asked 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 accompanying table. Higher scores correspond to more creativity. The researchers make the claim that "blue enhances performance on a creative task." Assume that the two samples are independent simple random samples selected from normally distributed 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 0.05 significance level to test the claim that blue enhances performance on a creative task. What are the null and alternative hypotheses? OA. Ho: H₁ #1¹₂ H₁: H₁ <H₂ OC. Ho: H₁ 241₂ H₁ H₁ H₂ Response Summary Statistics Background Blue Red Print μ n X H₁ 47 4.03 H₂ 45 3.49 Done C 0.66 0.84 OB. Ho: H₁ H₂ H₁: Hy > H₂ OD. Ho: H=H2 H₁: H₁ H₂ X
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