In a random sample of males, it was found that 20 write with their left hands and 224 do not. In a random sample of fermales, it was found that 63 write with their left hands and 439 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that armong fernales. Complete parts (a) through (c) below (ROunI TO TWO ORCIma praces as needea Identify the P-value. P-value = 0.040 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a =0.01, so fail to reject the null hypothesis. There is not sufficient 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 98% confidence interval is (Round to three decimal places as needed.)

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In a random sample of males, it was found that 20 write with their left hands and 224 do not. In a random sample of females, it was found that 63 write with their left hands and 439 do not. Use a 0.01 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.

Identify the P-value.

P-value = 0.040  
(Round to three decimal places as needed.)

What is the conclusion based on the hypothesis test?

The P-value is greater than the significance level of α = 0.01, so fail to reject the null hypothesis. There is not sufficient 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 98% confidence interval is [ ] < (p₁ - p₂) < [ ]  
(Round to three decimal places as needed.)

Enter your answer in the edit fields and then click Check Answer.

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This section involves comparing the rates of left-handedness between males and females through hypothesis testing and the construction of a confidence interval. The key elements include determining the P-value and interpreting its significance in the context of the hypothesis test, along with calculating a confidence interval for further analysis.
Transcribed Image Text:In a random sample of males, it was found that 20 write with their left hands and 224 do not. In a random sample of females, it was found that 63 write with their left hands and 439 do not. Use a 0.01 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. Identify the P-value. P-value = 0.040 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of α = 0.01, so fail to reject the null hypothesis. There is not sufficient 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 98% confidence interval is [ ] < (p₁ - p₂) < [ ] (Round to three decimal places as needed.) Enter your answer in the edit fields and then click Check Answer. 2 parts remaining [Progress bar indicating completion: 2 parts remaining] This section involves comparing the rates of left-handedness between males and females through hypothesis testing and the construction of a confidence interval. The key elements include determining the P-value and interpreting its significance in the context of the hypothesis test, along with calculating a confidence interval for further analysis.
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