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New research has found that a popular barrier birth control method may lead to a significant...

New research has found that a popular barrier birth control method may lead to a significant increase in risk for a number of cardiac events not commonly seen in women in such a young age demographic. Suppose researchers interested in this claim gather a SRS of 2,789 women taking the birth control and 3,498 women taking some other form of birth control and look at the number of blood-clot-related fatalities. Assume the following table represents the summary statistics for their samples. Conduct a two sample independent t test to determine if there is a significant difference in blood-clot-related fatalities between the two groups using an alpha of 0.05. Do not assume equal variances.

Study Groups

Average Number of Blood-Clot-Related fatalities

Sample Standard Deviation

Women taking the controversial method

7.8

0.18

Women taking some other method

1.9

0.06
a
  1. A) Ho: µ1=µ2 Ha: µ1≠µ2

T statistic=1525.8

Pvalue ~0

Accept your Ho that there is no significant difference in blood-clot related events between exposure groups.
b
  1. A) Ho: µ1=µ2 Ha: µ1≠µ2

T statistic=1269.8

Pvalue ~0

Reject your Ho that there is no significant difference in blood-clot related events between exposure groups.
c
  1. A) Ho: µ1=µ2 Ha: µ1≠µ2

T statistic=1659.1

Pvalue ~0

Reject your Ho that there is no significant difference in blood-clot related events between exposure groups.
Math   Statistics-And-Probability   
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