A X2 test involving a 2 x 2 table is equivalent to the test for the difference between two proportions, as described in Section 9-2. Using the claim and table in Example 4, verify that the X2 test statistic and the z test statistic (found from the test of equality of two proportions) are related as follows: z2 = X2. Also show that the critical values have that same relationship.
Answer to relevant QuestionsThe chi-square distribution is continuous, whereas the test statistic used in this section is discrete. Some statisticians use Yates’s correction for continuity in cells with an expected frequency of less than 10 or in all ...Use the data in the table below with a 0.05 significance level to test the claim that when flipping or spinning a penny, the outcome is independent of whether the penny was flipped or spun. Does the conclusion change if the ...When designing cars and aircraft, we must consider the forward grip reach of women. Women have normally distributed forward grip reaches with a mean of 686 mm and a standard deviation of 34 mm. a. If a car dashboard is ...Data Set 14 in Appendix B lists city fuel consumption amounts (mi/gal) for cars categorized by size (small, midsize, large). If we use those city fuel consumption amounts arranged into the three separate size categories, we ...Shown below are partial results from using the Bonferroni test with the sample data from Exercise 13. Assume that a 0.05 significance level is being used. a. What do the displayed results tell us? b. Use the Bonferroni test ...
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