Instructions: Choose the number of the correct statistical procedure (test) for
ID: 3155896 • Letter: I
Question
Instructions: Choose the number of the correct statistical procedure (test) for the problem listed below. Use the information to set up the appropriate null hypothesis and give the type of the response variable. Choices of tests include:
1-sample z-test about a proportion (1)
1-sample t-test about a mean (2)
2-sample z-test about two proportions (3)
2-sample t-test about two independent means (4)
paired t-test about average difference of two means (5)
Nonparametric test about medians (6)
t-test about a slope of a regression line (7)
Chi-square test (8)
Four treatments of a disease were compared to see if the cure rates were the same or not, as measured by the 5-year survival rate (proportion of people surviving 5 years). The number of patients and their outcome by treatment are given in the table below: Test the hypothesis that the 5-year survival rates are the same versus the alternative that they are not.
Survived?
Treatment No Yes Total
1 35 65 100
2 48 57 105
3 25 70 95
4 50 120 170
Explanation / Answer
Here, we are testing the dependence of survival vs the treatment done.
Hence, we use
OPTION 8: Chi-square test (8) [ANSWER]
****************************
Here,
Ho: The 5-year survival rates are the same for all treatments. [ANSWER]
The response variable here is the proportion of those who survived in each treatment. [ANSWER]