​(Round to two decimal places as​ needed.)   Identify the​ P-value.   ​(Round to three decimal places as​ needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a random sample of​ males, it was found that 20 write with their left hands and 213 do not. In a random sample of​ females, it was found that 74 write with their left hands and 440 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.

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Identify the test statistic.
 
​(Round to two decimal places as​ needed.)
 
Identify the​ P-value.
 
​(Round to three decimal places as​ needed.)
 
What is the conclusion based on the hypothesis​ test?
 
The​ P-value is (less than/greater than) the significance level of a=0.05, so (reject/fail to reject) the null hypothesis. There (is not sufficient/ is sufficient) evidence to support the claim that the rate of​ left-handedness among males is less than that among females.
 
Test the claim by constructing a 90% confidence interval.
 
​(Round to three decimal places as​ needed.)
 
What is the conclusion based on the confidence​ interval?
 
Because the confidence interval limits (include/do not include) 0, it appears that the two rates of left-handedness are (not equal/equal)). There (is not sufficient/is sufficient) evidence to support the claim that the rate of left-handedness among males is less than that among females. 
 
Based on the​ results, is the rate of​ left-handedness among males less than the rate of​ left-handedness among​females?
 
A. The rate of​ left-handedness among males does not
appear to be less than the rate of​ left-handedness among females because the results are statistically significant.
B. The rate of​ left-handedness among males does not
appear to be less than the rate of​ left-handedness among females because the results are not statistically significant.
C. The rate of​ left-handedness among males does appear to be less than the rate of​ left-handedness among females.
D. The results are inconclusive.
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