In a random sample of males, it was found that 223 write with their right hands and 21 do not. In a random sample of females, it was found that 452 write with their right hands and 67 do not. We want to use a 0.01 significance level to test the claim that the rate of right-handedness among males is more than that among females.   If we let: Let μ1 be the population mean number of males are right-handedness, and μ2 be the population mean number of females are right-handedness. Let p1 be the population proportion of males are right-handedness, and p2 be the population proportion of females are right-handedness. Round to three decimal places if necessary.   a)     Null hypothesis H0 :  .     Alternate hypothesis H1 :  . b) Type of test:  -tailed test.  c) significance level: α =  d) Test statistic:   e) Compute p-value of the test statistic.  f)  Decision:  g) Write conclusion

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In a random sample of males, it was found that 223 write with their right hands and 21 do not. In a random sample of females, it was found that 452 write with their right hands and 67 do not. We want to use a 0.01 significance level to test the claim that the rate of right-handedness among males is more than that among females.

 

If we let:

Let μ1 be the population mean number of males are right-handedness, and μ2 be the population mean number of females are right-handedness.

Let p1 be the population proportion of males are right-handedness, and p2 be the population proportion of females are right-handedness.

Round to three decimal places if necessary.

 

a)

    Null hypothesis H0 :  .

    Alternate hypothesis H1 :  .

b) Type of test:  -tailed test. 

c) significance level: α = 

d) Test statistic:  

e) Compute p-value of the test statistic. 

f)  Decision: 

g) Write conclusion 

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