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##### WEB CALCULATOR EXERCISE 4

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Question;Web Calculator Exercise 4;Non-parametric tests (Chi-square tests;Wilcoxon-rank-sum & Wilcoxon signed-ranks tests);Note: When searching for a web;calculator for the Wilcoxon-rank-sum test, please be aware that this test is;also called the ?Mann-Whitney U test?.;This test is used for Ordinal data and for an independent groups;design.;1.;A;high school counselor wants to examine whether the teenage pregnancy rate at;her school is different from the rate nationwide. She knows that the rate;nationwide is 15 %. She randomly selects 80 female students from her high;school. She finds that 9 out of 80;students are either pregnant now or have been pregnant previously.;a.;What;statistical test should be used to analyze the data?;b.;Identify;H0 and Ha for this study;c.;Conduct;the appropriate analysis;d.;Should;H0 be rejected? What should the researcher conclude?;2.;You;notice at the gym that it appears more women tend to work out together, whereas;more men tend to work out alone. To;determine whether this difference is significant, you collect data on the;workout preferences for a sample of men and women at your gym. The data follows.;Males;Females;Together;5;8;Alone;7;6;a.;What;statistical test should be used to analyze the data?;b.;Identify;H0 and Ha for this study;c.;Conduct;the appropriate analysis.;d.;Should;H0 be rejected? What should;the researcher conclude?;3.;A;researcher is interested in comparing the Christian maturity level of students;who volunteer for community service versus those who do not. The researcher;assumes that those who perform community service will have higher Christian;maturity scores. The maturity scores tend to be skewed (not normally;distributed). Higher scores indicate higher Christian maturity.;No Community Service;Community Service;32;47;40;48;54;59;13;72;20;80;26;55;a.;What;statistical test should be used to analyze these data?;b.;Is;this a one- or two- tailed test?;c.;Identify;H0 and Ha for this study;d.;Conduct;the appropriate analysis;e.;Should;H0 be rejected? What should the researcher conclude?;4.;A;researcher is interested in comparing tastiness of different kinds of cheese in;grilled cheese sandwiches. The;researcher expects that Cheddar cheese grilled sandwiches are rated tastier;than Swiss cheese grilled sandwiches. This;researcher wants to use a within-subjects design. Each participant tastes both Cheddar;and Swiss cheese grilled sandwiches. Except for the types of cheese used in the;grilled sandwiches, there is no difference between the two kinds of sandwiches.;Participants indicate the degree of tastiness on a 10-point scale and the;ratings appear in the following table. Tastiness scores tend to be skewed.;Participant;Cheddar;Swiss;1;7;4;2;6;5;3;9;6;4;10;8;5;6;7;6;7;6;7;8;9;a.;What statistical test should be used to;analyze these data?;b.;Identify;H0 and Ha for this study.;c.;Conduct;the appropriate analysis.;d.;Should;H0 be rejected? What should the researcher conclude?

Paper#62476 | Written in 18-Jul-2015

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