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 Blood Pressure (mmHG) Sample Standard Deviation Sample Size Birth Control 124 6.8 246 No Birth Control 116 4.3 267   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. Write out your null and alternative hypotheses and interpret your results. (Use an alpha level of 0.05)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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 Blood Pressure (mmHG)

Sample Standard Deviation

Sample Size

Birth Control

124

6.8

246

No Birth Control

116

4.3

267

 

  1. 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. Write out your null and alternative hypotheses and interpret your results. (Use an alpha level of 0.05)

 

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