Question
In: Statistics and Probability
In a random sample of males, it was found that 28 write with their left hands...
In a random sample of males, it was found that 28 write with their left hands and 225 do not. In a random sample of females, it was found that 62 write with their left hands and 441 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.
Solutions
Expert Solution
Given : For male : n1=28+225=253 , X1=28
For female :n2=62+441=503 , X2=62
The estimates for the sample proportions are given by ,
The pooled estimate is ,
Q=1-P=0.8810
Let , P1 be the population proportion for the male and P2 be the population proportion for female.
a) Hypothesis : 
VS 
b) The critical value is ,
c) The test statistic is ,
d) Decision : Here , the value of the test statistic does not lies in the rejection region.
Therefore , Do not reject Ho.
Conclusion : Hence , there is not sufficient evidence to support the claim that the rate of left-handedness among males is less than that among females.
orchestra answered 2 years agoRelated Solutions
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