Question

1. New research has found that a popular hormonal 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 55 women taking the birth control and 45 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.

Study Groups	Average Number of Blood-Clot-Related fatalities	Sample Standard Deviation
Women taking the controversial method	7.8	.56
Women taking some other method	2.5	.25

1. What is the appropriate t-test to use here?
2. Carry out the appropriate t test to determine if there is a significant difference in blood-clot related fatalities between women taking the birth control and those not taking the birth control. Use an alpha level of 0.05. Be sure to include each of the four steps of hypothesis testing.   

Answer 1