Using the data below and a 0.05 significance level, test the claim that the responses occur with percentages of 15%, 20%, 25%, 25%, and 15% respectively. Response A                B                 C                D                 E Frequency 12             15               16              18                19     1) Null and Alternative Hypothesis Ho: PA =    PB =     PC =        PD =     PE =  H1: at least one is different 2) Compute test statistics. Round the answer to three decimal places. ?2χ2?2χ2=  3) Compute critical value. Round the answer to three decimal places. ?2χ2?2χ2=

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.