Question: 1 . Ho: P1 - P2 = 0 Ha: P1 - P2 > 0 Where p. is the proportion of successes in Group 1 and

1 . Ho: P1 - P2 = 0 Ha: P1 - P2 > 0 Where p. is the proportion of successes in Group 1 and p2 is the proportion of successes in Group 2. Researchers have collected the following data from a random sample to test these hypotheses: Sample Data Group 1 Group 2 Total Successes 23 18 41 Failures 12 19 Total 30 30 60 When using these data to test the stated hypotheses, can the researchers use the normal approximation method? C Yes, the normal approximation method may be used No, the normal approximation method should not be used 2. Ho: P1 - P2 = 0 Ha: P1 - P2 # 0 A researcher wants to test the hypotheses above using the following sample data: Sample Data Group 1 Group 2 Total Pass 36 30 66 Fail 4 14 Total 40 40 80 Given these hypotheses and sample data, which of the following methods is appropriate? Two independent proportions z test Randomization test
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