Recently there has been quite a bit of controversy about the lack of definitive knowledge about the adverse side effects associated with hormone based birth control usage. Suppose a researcher is interested in the effects of birth control in women aged 18-25 relevant to blood pressure. The researcher assumes that women in this demographic that are taking hormone based birth control are at risk for increased blood pressure. Assume the following table contains the summary statistics of two SRSs, one from a cohort of women taking hormone based birth control, and one from a cohort of women birth control free. Study Arm Average Systolic BP Sample Standard Deviation Sample Size Birth Control 124 6.8 246 No BC 116 4.3 267 a) Carry out the appropriate statistical procedure to determine if there is a significant difference in the systolic blood pressure between the two groups of women and write out a null and alternative hypotheses. (Use an alpha level of 0.05) b) Construct a 95% confidence interval about your point estimate for the average difference insystolic blood pressure between the two groups of females. Provide an interpretation for your interval.
Recently there has been quite a bit of controversy about the lack of definitive knowledge about the adverse side effects associated with hormone based birth control usage. Suppose a researcher is interested in the effects of birth control in women aged 18-25 relevant to blood pressure. The researcher assumes that women in this demographic that are taking hormone based birth control are at risk for increased blood pressure. Assume the following table contains the summary statistics of two SRSs, one from a cohort of women taking hormone based birth control, and one from a cohort of women birth control free.
| Study Arm | Average Systolic BP | Sample Standard Deviation | Sample Size |
| Birth Control | 124 | 6.8 | 246 |
| No BC | 116 | 4.3 | 267 |
a) Carry out the appropriate statistical procedure to determine if there is a significant difference in the systolic blood pressure between the two groups of women and write out a null and alternative hypotheses. (Use an alpha level of 0.05)
b) Construct a 95% confidence interval about your point estimate for the average difference insystolic blood pressure between the two groups of females. Provide an interpretation for your interval.
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