Does a person\'s educational level affect his or her decision about marrying? A

Question

Does a person's educational level affect his or her decision about marrying? A survey asked a random sample of 1397 U.S. adults about their education level and marital status. The results are summarized below Education and Marital Status Education Level Marital Status Less HS HS College Total Single/Widowed 6115 256 377 18 256 442 716 13 136 155 304 37 507 853 1397 Married Divorced Total (a) The cell with the lowest observed count contains a value of 6. What is the expected count for this cell? (3 decimal places) (b) State the null hypothesis for this test. Education level and marital status are independent. Education level and marital status are associated (C) The test statistic for this data has a value of 22.189. Use the Chi-Square calculator to find the P-value. P-value- (3 decimal places) (d) At alpha = 0.05, would you reject the null hypothesis? Yes No (e) Is education level associated with marital status? At the 5% significance level, the data gives evidence to indicate that education level is associated with marital status. At the 5% significance level, the data does not give significant evidence to indicate that education level is associated with marital status.

Explanation / Answer

a) expected count =row total*column total/grand total =37*377/1397 =9.985

b)educational level and marital status are independent,

c)for degree of freedom =(row-1)*(column-1)=(3-1)*(3-1) =4

for 4 df and above test statistic ; p value =0.000

d)

Yes

e)at the 5% level; the data gives evidence to indicate that education level is associated with marital status.

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