Quiz: Test for a Single Population Proportion

1. When conducting a hypothesis test, using π0 as the hypothesized value and equation as the sample proportion, which quantity best estimates the standard error of the sampling distribution of the sample proportions?
a. equation
b. equation
c. equation
2. When constructing a confidence interval to estimate the population proportion, which quantity best estimates the standard error of the sampling distribution of the sample proportions?
a. equation
b. equation
c. equation

A random sample of size 40 has a sample proportion of 0.325 and a test of H0: π = 0.25 vs. Ha: π ≠ 0.25 is conducted. Use this data for questions 3 through 8.

3. The best estimate of the standard error of the sampling distribution is
a. 0.068
b. 0.074
c. 2.962
4. The value of the test statistic is
a. 0.075
b. 1.013
c. 1.095
5. The p-value is
a. 0.1357
b. 0.2714
c. 0.8643
6. The conclusion is
a. accept H0
b. fail to reject H0
c. reject H0
7. If a 90% confidence interval for the population proportion is constructed, the best estimate for the standard error of the sampling distribution is
a. 0.068
b. 0.074
c. 2.962
8. If a 90% confidence interval for the population proportion is constructed, the best estimate for the lower bound of the interval is
a. 0.203
b. 0.325
c. 0.447
9. In a random sample selected for an election poll, 28 out of 50 persons state that they plan to vote for candidate Smith. The campaign team wishes to conduct a test to see if they can predict that Smith will be victorious. There is only one opponent. The null hypothesis is:
a. H0: π = 0.50
b. H0: π > 0.50
c. H0: π = 0.56

In a random sample selected for an election poll, 28 out of 50 persons state that they plan to vote for candidate Smith. The campaign team wishes to conduct a test to see if they can predict that Smith will be victorious. There is only one opponent. Use this data for questions 10 through 14.

10. The alternate hypothesis is
a. H0: π = 0.50
b. H0: π > 0.50
c. H0: π > 0.56
11. The test statistic is
a. 0.06
b. 0.849
c. 0.855
12. The p-value is
a. 0.1949
b. 0.3898
c. 0.8051
13. The conclusion of the test is
a. Smith is predicted to win the election
b. Smith is predicted to lose the election
c. there is not enough evidence to make a prediction
14. A 95% confidence interval for the population proportion of voters in favor of Smith is
a. (0.422, 0.698)
b. (0.444, 0.675)
c. (0.56, 0.698)

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