Using a data set containing information from a random sample of students at Eastern Michigan University (EMU). Many variables were recorded, including the following: - Year: The current academic year, based on the number of credits at the time the survey was completed. - Award: Which of the three lifetime achievements would you like to win: a Nobel Prize, an Academy Award, or an Olympic Gold Medal? Here's a two-way table to examine the relationship between these two categorical variables: Year (first year, Sophomore, Junior, Senior) and Award (Academy, Nobel, Olympic). 1. First Year 2. Sophomore 3. Junior Academy Nobel Olympic Sum 8 18 25 61 94 [F] 4. Senior Sum 87 90 195 4 18 13 35 1 18 17 36 31 148 181 360 Based on the two-way table provided, answer the following questions. Using this data, we would like to assess if the population proportion of students at EMU who selected winning an Olympic Gold Medal is higher among all First-year students (group 1) compared to Sophomores (group 2)? Question 6 Subquestions 6.a TBD Among all Sophomores, what proportion selected wining an Olympic Gold Medal as their preferred lifetime achievement? points 0.5417 - 0 0.4615 0.5028 0 0.4972 6.b TBD points 1) State the appropriate hypotheses. Remember to use the proper notation. - No answer entered. Click above to enter an answer. 6.c TBD points After computing the appropriate test, the resulting test statistic is 2.988. Provide an interpretation of this value. 6.d 1 point(s) No answer entered. Click above to enter an answer. What distribution will you use to find the appropriate p-value? Normal (0, 1) t (93) t(194) Unable to determine because the population size is unknown. 6.e Evaluate the p-value and provide a statement of the conclusion. TBD