Question

The percentage of newborn baby boys in the United States is 51.2%. In a recent sample of 964 births, 473 of the newborn babies were boys. Use a level of significance of 0.02 to test the claim that the percentage of newborn baby boys is not equal to 51.2%. Show your work to receive credit.

Answer 1

Solution:

Given that

n=964 sample size of newborn boys in the United States

X= 473 Newborn boys.

p = 0.512 population proportion of newborn boys in the United States.

sample proportion of newborn boys in the United States

To test the hypothesis

. Vs.   

Test statistic

Z = - 1.366493

Test statistic Z = - 1.366

The critical value of Z is 2.33

from Z table

Decision:

1.366 < 2.33

Fail to rejecte Ho

Conclusion : Fail to rejecte Ho, there is insufficient evidence to conclude that the claim of the percentage of newborn boys is not equal to 51.2%