A 2021 study asked 300 students the question: "Do you prefer to attend lectures in-person or online?". The participants could answer either "I prefer to attend lectures online" or "I prefer to attend lectures in- person" and were not allowed to select both. Every participant answered this question and 210 participants said that they prefer to attend lectures online. Test the claim that at least 75% of university students prefer to attend lectures online at a 5% level of significance. a. Identify the probability model for each observation. What is the mean and variance for this distribution? What is a sensible estimator for ? b. Formulate an appropriate null hypothesis Ho and alternative hypothesis H1 c. Write down the test statistic and its distribution under the null hypothesis. d. Calculate the P-value based on the data. e. State your conclusion. hs f. Interpret your conclusion in the relevant context. Upload a scan/photo of your fully detailed working. + Add files O P 12"C Clear ~ @ (7 () ENG SUS VivoBook F3 F5 F8 FO F4 17 12 Prt Sc De FO F7 FIO isent