Joshua thinks that the preference for the type of COVID-19 vaccine depends on age. Specifically, he believes that young adults are more likely to get an mRNA vaccine (i.e., Pfizer, Moderna) than the Sinovac, whereas older adults are more likely to get the Sinovac than the mRNA vaccines. The table below reflects the age group of the participant. Rating Pfizer Sinovac 7 32331776 65777324 75656721 Individual Age Group Moderna Young Young 3 Young Young 5 Young Old 7 Old 8 Old 9 Old 10 Old 1 1 1. What parametric statistical test would you recommend Joshua use to analyse these data? Provide justifications for choosing this test. (0.75 marks) 2. Write the statistical model in mathematical form, and name each of the terms in the model. (4 marks) 3. State all the null and alternate hypotheses that you are testing in mathematical symbols and words. (3 marks) 4. Conduct the statistical test you identified in (2a) using a statistical package. Copy-and-paste the relevant output in your answer. Then, report the findings in APA format. In your response, state explicitly which row of the output you chose to interpret and why. Use an alpha level of .05. (3.5 marks) 5. Given the results of the analysis, would you recommend any additional analyses? If so, state the analyses and why you recommend conducting them. If not, state why it is not necessary to conduct the additional analyses. Whether you recommend additional analyses, you do not need to conduct the analyses. No additional marks will be awarded for doing so. (2.25 mark)