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In a random sample of males, it was found that 23 write with their left hands and 212 not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P₂ H₁: P₁ P₂ OD. Ho: P₁ P2 H₁: P₁ P₂ Identify the test statistic. OB. Ho: P₁ P2 H₁: P₁ P2 The P-value is hypothesis. There OE Ho: P₁ P2 H₁: P₁ =P₂ (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The 90% confidence interval is < (P₁-P₂)< (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? OC. Ho: P₁ P2 H₁: P₁ P₂ the significance level of a = 0.05, so evidence to support the claim that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. Because the confidence interval limits OF. Ho: P1 P2 H₁: P₁ P₂ there the null to be a significant difference between the rates of left-handedness

In a random sample of males, it was found that 23 write with their left hands and 212 not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P₂ H₁: P₁ P₂ OD. Ho: P₁ P2 H₁: P₁ P₂ Identify the test statistic. OB. Ho: P₁ P2 H₁: P₁ P2 The P-value is hypothesis. There OE Ho: P₁ P2 H₁: P₁ =P₂ (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The 90% confidence interval is < (P₁-P₂)< (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? OC. Ho: P₁ P2 H₁: P₁ P₂ the significance level of a = 0.05, so evidence to support the claim that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. Because the confidence interval limits OF. Ho: P1 P2 H₁: P₁ P₂ there the null to be a significant difference between the rates of left-handedness

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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In a random sample of males, it was found that 23 write with their left hands and 212 do not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. 2=0 (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level of a=0.05, so evidence to support the claim that the rate of left-handedness among males is less than that among females. The P-value is hypothesis. There b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits there among males and females. There rate of left-handedness among males is less than that among females the null to be a significant difference between the rates of left-handedness evidence to support the claim that the c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females? OA. It is reasonable to conclude that the rate of left-handedness among males is the same as the rate of left-handedness among females. OB. It is reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females. OC. It is not reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females. D. The assumptions required for the tests are not valid, so the results should not be used for inference.
Transcribed Image Text:In a random sample of males, it was found that 23 write with their left hands and 212 do not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. 2=0 (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level of a=0.05, so evidence to support the claim that the rate of left-handedness among males is less than that among females. The P-value is hypothesis. There b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits there among males and females. There rate of left-handedness among males is less than that among females the null to be a significant difference between the rates of left-handedness evidence to support the claim that the c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females? OA. It is reasonable to conclude that the rate of left-handedness among males is the same as the rate of left-handedness among females. OB. It is reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females. OC. It is not reasonable to conclude that the rate of left-handedness among males is less than the rate of left-handedness among females. D. The assumptions required for the tests are not valid, so the results should not be used for inference.
K In a random sample of males, it was found that 23 write with their left hands and 212 do not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ P2 H₁: P₁ P2 Z= OB. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. -0 (Round to two decimal places as needed.) Identify the P-value. OE Ho: P1 H₁: P₁ The P-value is hypothesis. There P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? P₂ P₂ OC. Ho: P₁ SP2 H₁: P₁ P₂ OF. Ho: P1 P2 H₁: P₁ P2 the significance level of a = 0.05, so Because the confidence interval limits evidence to support the claim that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? there the null to be a significant difference between the rates of left-handedness evidence to support the claim that the among males and females. There rate of left-handedness among males is less than that among females. Rased on the results is the rate of left-handedness amonn malas lose than the rate
Transcribed Image Text:K In a random sample of males, it was found that 23 write with their left hands and 212 do not. In a random sample of females, it was found that 58 write with their left hands and 442 do not. Use a 0.05 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ P2 H₁: P₁ P2 O D. Ho: P₁ P2 H₁: P₁ P2 Z= OB. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. -0 (Round to two decimal places as needed.) Identify the P-value. OE Ho: P1 H₁: P₁ The P-value is hypothesis. There P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? P₂ P₂ OC. Ho: P₁ SP2 H₁: P₁ P₂ OF. Ho: P1 P2 H₁: P₁ P2 the significance level of a = 0.05, so Because the confidence interval limits evidence to support the claim that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? there the null to be a significant difference between the rates of left-handedness evidence to support the claim that the among males and females. There rate of left-handedness among males is less than that among females. Rased on the results is the rate of left-handedness amonn malas lose than the rate
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