Assignment: 4 Welcome to the last individual assignment - you will need to complete ALL THREE hypotheses below as well as the stand-alone long answer question without a hypothesis. Instructions While descriptive statistics provide descriptions of the sample through dam summarization, inferential statistics make inferences and predictions about a population based on the sample of data. lnferential statistics 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:I/www.socscistatistics.com/tests/ztestfdefau|t2.aspx T-test calculator: h_ttps:I/select-statistics.co.uk/calculators/two-sampIet-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 file who visited the store during ooupon promo: 32 percent - Customers on file who visit the store during a typical week: 30 percent . Sample size: 4,500 H1 Questions - Did you use a ztest 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 a Sample size: 450 - Vegetarians surveyed who prefer Awesome Burger: 47.6 percent a Sample size: 408 H2 Questions . Did you use a z-test or t-test? Why? - What is the P value? n- .._.. --_-_L _._ _-:__' AL- _n-.___t:.._ i...__u_--:-n Hypothesis 2 H0: 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 0 Sample size: 450 - Vegetarians surveyed who prefer Awesome Burger: 47.6 percent o Sample size: 408 Hz 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 H0: 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? Additional Question to Answer What do you think is the most useful aspect of marketing research and why? What do you think is the least useful aspect of marketing research and why