Do chemists have more girls? Some people think that chemists are more likely than other parents to have female children

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Do chemists have more girls? Some people think that chemists are more likely than other parents to have female children.(Perhaps chemists are exposed to something in their laboratories that affects the sex of their children.) The Washington State Department of Health lists the parents' occupations on birth certificates. Between 1980 and 1990, 555 children were born to fathers who were chemists. Of these births, 273 were girls. During this period, 48.8% of all births in Washington State were girls. Is there evidence, at a significant level of 0.05, that the proportion of girls born to chemists is higher than the state proportion?

 

a) What are the null and alternative hypotheses Ho and Ha?

 

b) What is the shape of the sampling distribution of the sample proportions? What is the mean of the sampling distribution? What is the standard deviation of the sampling distribution?

 

c) What is the value of the sample proportion "p hat"?

 

d) What is the test statistic?

 

e) calculate P-value for this test.

 

f) do we reject the null hypothesis or do we fail to reject the null hypothesis? Why?

 

g) write the conclusion of the hypothesis test in the context of the problem using complete sentences.