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 200 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.

Identify the probability model for each observation. What is the mean and variance for this distribution? What is a sensible estimator for ? Formulate an appropriate null hypothesis H0 and alternative hypothesis H1. Write down the test statistic and its distribution under the null hypothesis. Calculate the P-value based on the data. State your conclusion. Interpret your conclusion in the relevant context.