Question

This problem is used for Questions 11-15. One question in the 2018 General Social Survey is "Do you think the use of marijuana should be made legal or not?". The results are as follows: 455 of the 676 male respondents supported marijuana legalization and 483 of the 771 female respondents supported marijuana legalization. Find the sample proportions, P, and 2 of marijuana legalization supporters in males and females. Find a 95% confidence interval for the difference between the population proportions of marijuana legalization supporters in U.S. males and U.S.females. Instruction: In your answer you must include the value of critical - score or t-score used, the standard error and the confidence interval. State the hypotheses of a two-sided significance test comparing two population proportions. a) Calculate the test statistic. b) Calculate the p-value. c) Using a significance level a = 0.05, what conclusion would you make for the significance test? Explain. Instruction: To answer question a, you must include values of the pooled estimate P. the standard error se and the test statistic. For question b, you should say if you are using right-tail, left-tail or two-tail probability, then give the answer of the p-value. a) Explain why we can apply a chi-squared test of independence. b) State the hypotheses of the chi-squared test.

Answer 1

P = 455 = 0.6731 P2 = 483 = 0.6265 # 95% CIT . ME= Z2 I -V Pl1-8) s hip P₂ (I-T2) na - 1.96 + (0.6265) Co.13) 0.6731 (0.3269) V S i N676 ורך 1. 0 0 .000 32.5+ 0.0003 ME = 0.049 lower limit= (2-?) Sweli mis mf me =co.6731-0.6265)-(0.049) = 0.0466-o.oug I-0.0024 coperlimit = 8,-P2 Demt =co.6731 - 0.6215 to.04g = 0.0956 :.95% 13 (-0.0024, 0.0956) |

Ho: P,=PLL Ha: P, IP2 10) teststarsnica P, -P2 71-7) PA +",). where e = u5st 483 676 +771 0.64 82 =o0.6731-0.6265 10.6482) (0.3518) + 1 Hol676 - 771 0.0466 0.0252 = 1.852 prglue =RP(Z > 1.85) = 2700322 =0.0644.

Pralne >o.us i wo fail to reject Ho, There is not sushi cient evidence to concludenst there is a differne betnpopulation pas portion. # We can apply 150 chi sarare ac indepence to see whether this two ari depends on each other or not b) Ho: marijuana and gender an independent. Ha marijuunn und gender aae dependent