A) Carry out the appropriate statistical test to answer the researcher’s hypothesis regarding the difference in average cases of childhood cancers in children aged 7-18 receiving one or more CAT scans versus those that have never received a CAT scan. Use an alpha level of 0.05. Do not use the equal variance assumption. Write out your alternative and null hypotheses, and interpret your results. B) Construct a 95% confidence interval for the average difference in childhood cancer cases between the two groups. Interpret your interval.
Recent publications have addressed the growing concern in the scientific community around the increased prevalence of CAT scans in children between the ages of 7-18 and the growing rate of childhood cancers. Suppose the researcher plans to gather a SRS from a group of children in this age
Population | Average cases of childhood cancers | Standard deviaton | |
>CAT scan | 24.6 | 2.4 | 1,894 |
No CAT scans | 11.4 | 1.9 | 2,745 |
A) Carry out the appropriate statistical test to answer the researcher’s hypothesis regarding the difference in average cases of childhood cancers in children aged 7-18 receiving one or more CAT scans versus those that have never received a CAT scan. Use an alpha level of 0.05. Do not use the equal variance assumption. Write out your alternative and null hypotheses, and interpret your results.
B) Construct a 95% confidence interval for the average difference in childhood cancer cases between the two groups. Interpret your interval.
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