A scientist wants to know if education level and marital status are related for all people in some country. He collects data on a simple random sample of n = 300 people. There are 4 marital status categories and 5 education levels, and the test statistic obtained is 23.57. Choose the statistical test you use, the correct p-value and the correct conclusion. > pchisq(23.57, df = 12)
[1] 0.9767414
> pt(23.57, df = 299)
[1] 1
> pt(23.57, df = 3)
[1] 0.9999163
A) Regression analysis, p-value = 8.36 × 10−5 and conclude that education level and marital status are associated.
B) Chi-squared test for independence, p-value = 0.97674 and conclude that education level and marital status are not associated.
C) Chi-squared test for independence, p-value = 0.02326 and conclude that education level and marital status are associated.
D) Regression analysis, p-value = 1 and conclude that education level and marital status are not associated.