Question

Question 21
Random sample of college students were asked how many hours they spent studying per day. The results summarized by sex are given in the following table. Hours Spent Studying Less than 3 3 or more Total Males 36 64 100 Females 12 56 68 Total 48 120 168 Do these data provide evidence at the 0.01 level of significance to conclude that sex and amount of time spent studying are dependent? Begin by filling in the following tables. Step 1 Ho: Sex and amount of time spent studying are (fill in the blank with the correct response: independent or dependent) Ha: Sex and amount of time spent studying are (fill in the blank with the correct response: independent or dependent)

Answer 1

Step 1.

Ho: Sex and amount if time spent studying are independent

H1: Sex and amount of time spent studying are dependent.

Lase than a makes or more Go 61 09 females on 10 Opa 120 168 Slap :) Espected frequency eij Die Ooij N 28.57 Leir 11.43 010001 N 010002 N 02000l N 020002 N (100) (18) 168 (100) (120) 168 (68)(48) 168 (68) (120) 168 19.43 e22 48.57 males females (o-E) Less than 3 28.57 19.43 3 or more T1.43 48.57 E males females Tess than 3 1.93 2.84 Мохе. 0.77 T.77

Stop & Test Statistic 2 E X 7 cal ܛܬ eij 13.31 (2-1) + (2-1) = 1 PR 13:31) > 13.3 pralue 0.0003 2-00017 pralue 0.0003 Reject Hom at door

Conclusion: There is enough evidence to conclude that sex and amount of time spent studying are dependent.