A research study

A research study aims to understand differences in mortality within the first year of life between Black and white infants born in a rural hospital. The data for 30 infants is shown below. Perform a test to determine if there is a statistically significant difference in survival between Black and white infants using the log-rank test and a 5% level of significance. Black Infants White Infants Mortality Month of Last Mortality Month of Last Contact Contact 7 3 10 AN- 12 9 10 10 6 12 10 10 12 11 11 12 12 12 12 12 12 12 12 a. Write out the null and alternative hypotheses. (2pts) b. Set up the decision rule. Show the calculation for the degrees of freedom. (2pts) c. Complete a Kaplan-Meier table for observed and expected number of deaths for Black and white infants. Show calculations as needed. You can provide additional notes about how you filled in the table as needed. (5pts) d. Compute the Chi Square test statistic. (2pts) e. Can you reject the null hypothesis? Why or why not? Draw a final conclusion. (2pts)