Q.A random sample of 900 people in the UK were asked to respond to this statement: “the country’s future economy is positive”. Of these sample people, 594 agreed with the statement. When the same statement is was presented to a random sample of 900 people in the US, 540 agreed with the statement.
a) Using a 1% significance level, perform a hypothesis test to determine if the proportion of people in the UK who agreed with the statement is different from that of the US
b) Determine the p-value
Q2: Given the following null and alternative hypotheses
H : σ 2 ≤ σ 2
0 1 2
H : σ 2 > σ 2
and the following sample information
Sample size = 13
Sample size = 21
Sample variance = 1450
Sample variance = 1320
Test the hypothesis at 5% level of significance and indicate whether the null hypothesis should be rejected.