Question: A recent survey shows that 680 out of 1050 respondents agree with the principle of University top-up fees. Use this data to derive 95% and 99% confidence intervals for the proportion of the general population in favour of such fees. Calculate a p-value for the null hypothesis Ho: p = 2/3 against the alternative H₁: p \(\ne \) 2/3. Is it reasonable to argue that two-thirds of the general population are in favour of such fees?