8) (1 point) A researcher is interested in whether the number ofyears of formal education is related to a person's decision tonever smoke, continue to smoke, or quit smoking cigarettes. Thedata below represent the smoking status by level of education forresidents of the United States 18 years or older from a randomsample of 200 residents. Round all numeric answers to four decimalplaces.
| | Smoking Status | |
Education Level | Current | Former | Never |
Less than high school | 15 | 9 | 14 |
High school | 6 | 11 | 21 |
Some College | 26 | 27 | 71 |
1. Select the name of the test that should be used to assess thehypotheses:
H0H0: \"Smoking Status\" is independent of \"Education Level\"
HAHA: \"Smoking Status\" is not independent of \"EducationLevel\"
A. X2X2 goodness of fit
B. X2X2 test of a single variance
C. X2X2 test of independence
2. Under the null hypothesis, what is the expected number forpeople with an education of Less than high school and a smokingstatus of Former?
3. Calculate the X2X2 test statistic.
4.What was the contribution of Former smokers who attended Lessthan high school toward this test statistic?
5. What are the degrees of freedom for this test?
6. What is the p-value for this test?
7. Based on the p-value, we have:
A. some evidence
B. strong evidence
C. little evidence
D. extremely strong evidence
E. very strong evidence
that the null model is not a good fit for our observed data.
8. Which of the following is a necessary condition in order forthe hypothesis test results to be valid? Check all thatapply.
A. There must be an observed count of at least 5in every cell of the table.
B. The population data must be normallydistributed.
C. The observations must be independent of oneanother.
D. There must be at least 10 \"yes\" and 10 \"no\"observations for each variable.
E. There must be an expected count of at least 5in every cell of the table.