a. Your friend claims to have ESP. You test her by having her predict the outcome of 20 coin tosses and record the proportion she gets correct to test the hypothesis.     State whether a​ one-proportion z-test or a​ two-proportion z-test would be appropriate. Choose the correct answer below.     ​One-proportion z-test   ​Two-proportion z-test Determine the correct hypotheses to test. Choose the correct answer below.     A. H0​: p=0.5 HA​: p≠0.5   B. H0​: p=0.5 HA​: p>0.5   C. H0​: p=0.5 HA​: p<0.5   D. H0​: p>0.5 HA​: p=0.5 b. You test students at your school with a simple math problem and record the proportion of students who take less than 10 seconds, comparing juniors and seniors.   State whether a​ one-proportion z-test or a​ two-proportion z-test would be appropriate. Choose the correct answer below.     ​One-proportion z-test   ​Two-proportion z-test Determine the correct hypotheses to test. Choose the correct answer below.     A. H0​: pj=ps HA​: pj>ps   B. H0​: pj=ps HA​: pj≠ps   C. H0​: pj≠ps HA​: pj=ps   D. H0​: pj>ps HA​: pj

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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.