Question

10. (18 points) A librarian wants to determine whether the number of days per week that college students spend reading is related to gender. A random sample of 275 college students is selected and the results are shown in the following table. At a 5% significance level, is there enough evidence to conclude that the number of days spent reading per week is related to gender? 0-1 days 2-3 days 4-5 days 6-7 days female 40 53 26 6 male 34 68 37 11 a. H: b. H: c. State the distribution to use for the test. d. What is the test statistic? e. What is the p-value? f. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences. a: Decision: Reason for decision: Conclusion:

Answer 1

Answer:-

Page one

a ) days spent reading per week is C) use d) Ho! The number of not related to gender cindependent) Hi: the num number of days spent reading per week is related to gender (not independent) Here chia square distribution disteibution for the test. test statistic ? Elej- Ei) ? Ei 0; : obsedved value, ei = expected value (given) c catuitate) consider oi table 3 day 6-7 days Rowtotal (no female male 34 37 Column total N=275 न५ 12) e hc) (prand total find E table, using Ei = not nc where 0-1 days 2 - 4-5 day 53 40 6 26 125 68 11 ISO 63 17 o-idays 2-3 days 4-5 days 6-7 days female 55 28.64 83.64 40:36 86 7073 9.2% male 34.36 55 28.64 from 0 22 = (40-33.64)? +(53-55)?+ (26-28.6412 + (6 - 7:73)? + 33.64 7.73 (34-40.3022+668-662? + (31-34.3622+ (11 - 9:29) 40036 34.36 9:27 is test statistih value 66 x² B. 4934 p-value = 0.3216 4.5 - (7-12 (0-1) = (2-1)4-1) d.$=3 'feom x table z Ols Right tailed

Page two

f. q=0.0S decisions do not Refect hull Hypothesis Reason for decisionin parale poralue & Hede so we fail to Reject Ho. Conclusion: There is not evidence enough to conclude that the number of days spent reading per week is related to gen ender.

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