## Question

###### Does a persons educational level affect his or her decision about marrying? a survey asked a...

does a persons educational level affect his or her decision about marrying? a survey asked a random sample of 1397 US adults about their education level and marital status. the results are summarized below

webassign.net/web/Student/Assignment-Responses/last?dep=23960901 * NPR Error 11 Points) DETAILS 0/2 Submissions Used MY NOTES PRACTICE ANOTHER 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. Marital Status Single/Widowed Married Divorced Total Education and Marital Status Education Level Less HS HS 6 115 18 256 13 136 37 507 College 256 442 155 853 Total 377 716 304 1397 (a) The cell with the highest observed count contains a value of 442. What is the expected count for this cell? (3 decimal places) (b) State the alternative hypothesis for this test. O 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? O Yes No (e) is education level 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. At the 5% significance level, the data gives evidence to indicate that education level is associated with marital status. ARS 30

## Answers

Null hypothesis: education level and marital status are independent.

Alternative hypothesis: education level and marital status are not independent or are associated.

Giren Maritent status Less HS 6 Single/widad Married Divorced Totul Education level HS College Total H5 256 377 256 442 F16 T36 304 853 1397 18 13 37 507 (a) (Total of row of42)+(Total of Column of 472) EC 4-42) = Grand totaal 716 X 853 1397 E(442) z 437.185 (b) Null Hypothesis: Education level and marital status are independent Alternative Mypothesis : Education level and marital status are not independent Therefore 2nd option is correet, c) Given test statistr under to is that = 22.189 using chi-square calculator we get the p-velice is p-value 0.0001838(0) At Q = 0.05 sina p-value p-value <oos The result is significant x =0.05 Hence Yes we will sieject the wall sypothesis. At the 5% level of significance, the data gives evidence te indicate that eduction level is associated with marital Status. Cand option is correct)

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