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
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
1
and the following sample information
Sample 1 Sample 2
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.
The following statement was posed to a random sample of 900 people in the United Kingdom: “the country’s future economy is optimistic”. 594 individuals in the sample agreed with the statement. When a random sample of 900 people in the United States were given the identical statement, 540 agreed with it.
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
