A hypothesis test
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
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| 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
A hypothesis test
