In the following situations, is the alternative hypothesis one-sided or two-side

Question

In the following situations, is the alternative hypothesis one-sided or two-sided? What are the hypotheses? A soda company recently reformulated their diet soda in an attempt to appeal to teenagers. They run a taste test to see if the new formula appeals to teenagers more than the standard formula. A company wants to know if the average click-through rates (in minutes) are different from the 5.4 minutes that customers spent on their old website before making a purchase. The alternative hypothesis is ? Let p be the percentage of teenagers who prefer the new formulation. What are the hypotheses? H_0:p = 0v s. H_A: p greaterthanorequalto 0 H_0:p = 0.5vs. H_A: p > 0.5 H_0:p = 0.5 vs. H_A: p notequalto 0.5 H_0:p = 0.5 vs. H_A:p 0 H_0:p = 0 vs.H_A:p 0 H_0:mu = 0 vs. H_A: mu 5.4 H_0:mu = 5.4 vs. H_A: mu greaterthanorequalto 5.4 H_0:mu = 0 vs. H_A: mu notequalto 0 H_0:mu = 0 vs. H_A: mu greaterthanorequalto 0 H_0:m = 5.4vs. H_A: mu

Explanation / Answer

a) the hypothesis one sided because we need to test if new formula appeals more than the normal one. So the answer is B. The null hypothesis means that the new formula is same as the normal one and the proportion should then be equal to 0.5

b) The alternate hypothesis is two sided because we are just checking if it is equal to 5.4 or not. we are not considering the case of less or more here. Answer is therefore H

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