NON-PARAMETRIC STATISTICAL TESTS IN RESEARCH: ANALYZING HYPOTHESES AND DATA

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COUN 503Page1of3NON-PARAMETRICSTATISTICALTESTS INRESEARCH:ANALYZINGHYPOTHESESANDDATAWEBCALCULATOREXERCISE4Non-parametric tests (Chi-square tests, Wilcoxon-rank-sum&Wilcoxon signed-rankstests)Note: When searching for a web calculator for the Wilcoxon-rank-sum test, please beaware that this test is also called the “Mann-Whitney U test”. This test is used for Ordinaldata and for an independent groups design.1.A high school counselor wants to examine whether the teenage pregnancy rate at her schoolis different from the rate nationwide. She knows that the rate nationwide is 15 %. Sherandomly selects 80 female students from her high school. She finds that 9 out of 80 studentsare either pregnant now or have been pregnant previously.a.What statistical test should be used to analyze the data?Z-testusing propotion.b.Identify H0and Hafor this studyH0: p = 0.15Ha: p ≠ 0.15c.Conduct the appropriate analysisz = (phat–p)/sqrt(p*(1-p)/N)z = (9/80–0.15)/sqrt(0.15*0.85/80)z =-0.93933d.Should H0be rejected? What should the researcher conclude?The critical values for alpha = 0.05 are +/-1.96. The test statistic is not outside ofthose values. Therefore, we do not reject the null hypothesis.The researcher should conclude that the pregnancy rate at the school is not differentfrom the nationwide rate with a p value of .3482.You notice at the gym that it appears more women tend to work out together, whereas moremen tend to work out alone. To determine whether this difference is significant, you collectdata on the workout preferences for a sample of men and women at your gym. The datafollows.MalesFemalesTogether58Alone76a.What statistical test should be used to analyze the data?Chi-squareb.Identify H0and Hafor this studyH0: No association between gender and working alone/together.Ha: Association between working along/together.

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