A random sample of 1000 voters registered in the state of Montana showed that 490 voted...
A random sample of 1000 voters registered in the state of Montana showed that 490 voted in the last general election. A random sample of 800 voters in the state of Arizona showed that 368 voted in the most recent general election. Do these data indicate that the population percentage of voter turnout in Arizona is lower than that in Montana?
11. Choose the appropriate null and alternate hypotheses. a. Null: The percentage of people who voted in Arizona and Montana is the same Alternate: The percentage of people who voted in Arizona is more than in Montana b. Null: The percentage of people who voted in Arizona is more than in Montana Alternate: The percentage of people who voted in Arizona and Montana is the same c. Null: The percentage of people who voted in Arizona and Montana is the same Alternate: The percentage of people who voted in Arizona is less than in Montana d. Null: : The percentage of people who voted in Arizona is less than in Montana Alternate: The percentage of people who voted in Arizona and Montana is the same
12. What is the standard error for the difference (SEdiff)? a. 0.03% b. 0.71% c. 3.0% d. 2.37%
13. What is the test statistic? a. 1.27 b. 0.01 c. 4.23 d. 100
14. What is the p-value? a. 10.2% b. 0% c. 49.48% d. 0.65%
15. What is your conclusion? a. Reject the null hypothesis b. Accept the null hypothesis c. Do not reject the null hypothesis d. Do not accept the alternate hypothesis
Homework Answers
The statistical software output for this problem is:
Two sample proportion summary hypothesis
test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0
Hypothesis test results:
| Difference | Count1 | Total1 | Count2 | Total2 | Sample Diff. | Std. Err. | Z-Stat | P-value |
|---|---|---|---|---|---|---|---|---|
| p1 - p2 | 490 | 1000 | 368 | 800 | 0.03 | 0.023691243 | 1.2662907 | 0.1027 |
Hence,
11. Hypotheses: Option C is correct.
12. Standard error = 2.37%; Option D is correct.
13. Test statistic = 1.27; Option A is correct.
14. p - value = 10.2%; Option A is correct.
15. Do not reject the null hypothesis; Option C is correct.
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