b) What is the probability of being neutral and fall in the age group 26 - 35? c) What is the probability of being Dissatisfied given that you are older than 35? d) What is the probability of being in the Age group 18 - 25? e) Are age groups and satisfaction of the product associated? Write down the null and alternative hypothesis. What is the correct statistical test that should be used in this case? Explain your answer. Test your hypotheses and interpret the result.

A marketing agency wanted to determine if a new commercial changed people's opinion about a company. They recruited n=30 participants to watch the commercial. First, everyone was givien a survey to determine their attitudes toward the company. Then, everyone watched the new commercial. Finally, they were given the same survey again and asked about their attitudes toward the comapny after seeing the commercial. The agency wanted to see if attitudes were changed by the commercial. What statistical test should they use?

Dr. Summit wants to compare the ability to recall events between older adults and younger adults. What is the appropriate test statistic for each scenario? a. One sample Z-test b. One sample t-test c. two related samples t-test d. two independent samples t-test

(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.