Q1) Recent survey illustrates that 680 out of 1050 respondents agree with principle of University top-up fees. Use this data to deduce 95% and 99% confidence intervals for proportion of the general population in favour of such fees. Compute a p-value for the null hypothesis H0: p = 2/3 against the alternative H1 : p ≠ 2/3 . Is it sensible to argue that two-thirds of the general population are in favour of such fees?
Q2) 9 students follow diet over Easter holidays: their weights (in kg) before and after the diet are:
|
Before
|
65.4
|
46.3
|
56.4
|
49.2
|
54.5
|
55.1
|
53.5
|
46.6
|
58.9
|
|
After
|
61.7
|
46.1
|
55.1
|
48
|
51.8
|
48.7
|
52.6
|
45
|
58
|
Stating assumptions on which your arguments and conclusions are based, sum up the statistical evidence regarding effectiveness of this diet.