A group of investigators wishes to explore the relationship between the use of hair dyes and the development of breast cancer in females. A group of 100 beauticians 40-49 years of age is identified and followed for five years. After five years, 20 new cases of breast cancer have occurred. Assume that breast cancer incidence over this time period for average American women in this age group is 30/100. We wish to test the hypothesis that using hair dyes decrease the risk of breast cancer. Find the alternative hypothesis Breast cancer incidence over this time period for beauticians in 40-49 ages < 0.2 Breast cancer incidence over this time period for beauticians in 40-49 ages > 0.3 Breast cancer incidence over this time period for beauticians in 40-49 ages < 0.3 Breast cancer incidence over this time period for beauticians in 40-49 ages > 0.2 Find the different meaning for beta Type 2 error False negatives Pr(accept null hypothesis given false null hypothesis) Pr(reject null hypothesis given true null hypothesis)
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In this case, the alternative hypothesis would be that breast cancer incidence over this time period for beauticians aged 40-49 is less than 0.3. Show more…
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