Instructions While descriptive statistics provide descriptions of the sample through data summarization, inferential statistics make inferences and predictions about a population based on the sample of data. lnferential statistims help determine whether the relationships or differences between groups seen in data are strong enough to provide support for a hypothesis that the ndings exist in the target market population as a whole. Therefore, inferential statistics are used to test hypotheses. Below are data for several business decisions. For each, determine if a t-test or z-test is the most appropriate. Then, using the online calculator links, test each hypothesis. Z-test calculator: https:/lwww.socscistatistics.com/testslztestldefaultz.aspx T-test calculator: https:/Ise|ect-statistics.co.uklcalcuIatorsltwo-sampIe-t-test-calculator/ Hypothesis 1 H0: Receiving a 20 percent off coupon does not increase the number of customers visiting the Lotions and Potions soap store. Ha: Receiving a 20 percent off coupon increases customers visiting the Lotions and Potions soap store. Data . Customers on le who visited the store during coupon promo: 32 percent - Customers on le who visit the store during a typical week: 30 percent - Sample size: 4,500 H1 Questions - Did you use a z-test or t-test? Why? - What is the P value? . Do you accept or reject the alternative hypothesis? . Should Lotions and Potions continue to offer this promotion in order to increase visits? Why or why not? Hypothesis 2 Ho: When given the choice, vegetarians have no preference between the Impossible Burger and the Awesome Burger. Ha: When given the choice, vegetarians prefer the Impossible Burger to the Awesome Burger. Data - Vegetarians surveyed who prefer Impossible Burger: 52.4 percent o Sample size: 450 - Vegetarians surveyed who prefer Awesome Burger: 47.6 percent 0 Sample size: 408 H2 Questions - Did you use a z-test or t-test? Why? - What is the P value? - Do you accept or reject the alternative hypothesis? - Is there a signicant preference difference between the two vegetarian burger options? H2 Questions - Did you use a z-test or t-test? Why? - What is the P value? . Do you accept or reject the alternative hypothesis? - Is there a signicant preference difference between the two vegetarian burger options? Hypothesis 3 Ho: Those under 40 years of age and those over 40 years of age prefer the television commercial concept equally. Ha: Those under 40 years of age prefer the television commercial concept more than those over 40 years of age. Data Those under 40 - Preference score (1-5 preference scale): 4.3 - Standard deviation: 1.18 . Sample size: 250 Those over 40 - Preference score (1-5 preference scale): 4.6 - Standard deviation: 1.30 - Sample size: 60 H3 Questions - Did you use a z-test or t-test? Why? - What is the P value? . Do you accept or reject the alternative hypothesis? - Should the marketing team produce a separate television commercial for those over the age of 40