Would completing a Factorial Analysis of Variance in SPSS to look at the differences of "should marijuana be made legal" (dependent variable) between gender and race (independent variables) with the resaerch question being: Does age or race impact the belief that marijuana should be made legal. And the null hypothsis of: Age or race have no impact on the belief that marijuana should be made legal be appropraite or does another research design align better with this question?

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Between-Subjects Factors Value Label N RESPONDENTS SEX MALE 136 FEMALE 164 RACE OF RESPONDENT WHITE 248 BLACK 21 OTHER 313. RESPONDENTS SEX * RACE OF RESPONDENT Dependent Variable: SHOULD MARIJUANA BE MADE LEGAL 95% Confidence Interval RESPONDENTS SEX RACE OF RESPONDENT Mean Std. Error Lower Bound Upper Bound MALE WHITE 1.391 046 1.301 1.482 BLACK 1.286 .187 .918 1.654 OTHER 1.286 132 1.026 1.546 FEMALE WHITE 1.556 .043 1.472 1.641 BLACK 1.357 .132 1.097 1.617 OTHER 1.471 .120 1.234 1.707Estimated Marginal Means of SHOULD MARIJUANA BE MADE LEGAL FACE OF 160 RESPOND INT WHITE BLACK 155 OTHER 150 145 Estimated Marginal Means 1.40 1.30 MALE FEMALE RESPONDENTS SEXCrosstabs Case Processing Summary Cases Valid Missing Total IN Percent N Percent N Percent RESPONDENTS SEX 300 58.8% 210 41.2% 510 100.0% SHOULD MARIJUANA BE MADE LEGALRESPONDENTS SEX . SHOULD MARIJUANA BE MADE LEGAL Crosstabulation SHOULD MARULIANA BE MADE LEGAL LEGAL NOT LEGAL Toul RESPONDENTS SEX MALE Count 85 51 136 * within SHOULD 52.5% 37.0% 45.3% MARIJUANA BE MADE LEGAL FEMALE Count 77 164 " within SHOULD 47.5% 63.0% 54.7% MARIJUANA BE MADE LEGAL Total Count 162 138 300 * within SHOULD 100.0% 100 0% 100.0% MARIJUANA BE MADE LEGALChi-Square Tests Asymptotic Significance Exact Sig. Exact 5k. Value (2-sided) (2-sided) (1-sided) Pearyon Chi-Square 7.236- H .007 Continuity Correction 6.624 .010 Likelihood Ratio 7.279 .007 Fisher's Exact Test .008 .005 Linear-by-Linear 7.212 .007 Association N of Valid Cases 300 a. O cells (0.03) have expected count less than 5. The minimum expected count is 62.56. b. Computed only for a 2x2 tableLevene's Test of Equality of Error Variancesab Levene Statistic dfl d12 Sig. SHOULD MARIJUANA BE Based on Mean 3.099 S 294 .010 MADE LEGAL Based on Median .504 5 294 .773 Based on Median and .504 5 293.681 .773 with adjusted of Based on trimmed 3.099 S 294 .010 mean Tests the null hypothesis that the error variance of the dependent variable is equal across groups. a. Dependent variable: SHOULD MARIJUANA BE MADE LEGAL b. Design: Intercept + sex + race + sex * raceTests of Between-Subjects Effects Dependent Variable: SHOULD MARIJUANA BE MADE LEGAL Type Ill Sum Partial Eta Source of Squares of Mean Square F Sig. Squared Corrected Model 2.566" 5 .513 2.097 .066 .034 Intercept 193.124 1 193.124 789.098 .000 .729 sex .492 1 .492 2.011 157 .007 race .602 2 .301 1.230 .294 .008 sex " race .043 2 .021 .088 .916 .001 Error 71.954 294 .245 Total 714.000 300 Corrected Total 74.520 299 a. R Squared = .034 (Adjusted R Squared = .018)Estimated Marginal Means 1. RESPONDENTS SEX Estimates Dependent Variable: SHOULD MARIJUANA BE MADE LEGAL 95% Confidence Interval RESPONDENTS SEX Mean Sid. Error Lower Bound Upper Bound MALE 1.321 .078 1.168 1.474 FEMALE 1.461 061 1.341 1.582Pairwise Comparisons Dependent Variable: SHOULD MARIJUANA BE MADE LEGAL 95% Confidence Interval for Mean Difference" Difference (1- (D) RESPONDENTS SEX () RESPONDENTS SEX D Sad. Error Sig. Lower Bound Upper Bound MALE FEMALE -.140 .099 .157 -.335 .054 FEMALE MALE .140 .099 .157 -.054 .335 Based on estimated marginal means a. Adjustment for multiple comparisons: Bonferroni.Univariate Tests Dependent Variable: SHOULD MARIJUANA BE MADE LEGAL Sum of Partial Eta Squares df Mean Square F Sig. Squared Contrast .492 .492 2.011 .157 .007 Error 71.954 294 .245 The F tests the effect of RESPONDENTS SEX. This test is based on the linearly independent pairwise comparisons among the estimated marginal means.2. RACE OF RESPONDENT Estimates Dependent Variable: SHOULD MARIJUANA BE MADE LEGAL 95% Confidence Interval PLACE OF RESPONDENT Mean Sid. Error Lower Bound Upper Bound WHITE L.474 031 1.412 1.536 BLACK 1.321 .115 1.096 1.547 OTHER 1.378 .089 1.202 1.554Pairwise Comparisons Dependent Variable: SHOULD MARIJUANA BE MADE LEGAL 95% Confidence Interval for Mran Difference" CO RACE OF OF RACE OF Difference (1- RESPONDENT RESPONDENT Sod. Error Lower Bound Upper Bound WHITE BLACK .152 .119 601 --134 .438 OTHER .096 .095 .939 -132 .324 BLACK WHITE -.152 .119 .601 - 438 134 OTHER -1057 .145 1.000 -406 293 OTHER WHITE 1096 .095 939 --324 .132 BLACK .057 .145 1.000 - 293 406 Based on estimated marginal means a, Adjustment for multiple comparisons; Bonferroni,Univariate Tests Dependent Variable: SHOULD MARIJUANA BE MADE LEGAL Sum of Partial Eta Squares df Mean Square F Sig. Squared Contrast .602 2 .301 1.230 .294 .008 Error 71.954 294 .245 The F tests the effect of RACE OF RESPONDENT. This test is based on the linearly independent pairwise comparisons among the estimated marginal means