Question

Only 16% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 347 randomly selected registered voters surveyed, 45 of them will vote in the upcoming election. What can be concluded at the αα = 0.05 level of significance?

- For this study, we should use Select an answer z-test for a population proportion t-test for a population mean
- The null and alternative hypotheses would be:

H0:H0: ? μ p ? ≠ > < = (please enter a decimal)

H1:H1: ? p μ ? ≠ = < > (Please enter a decimal)

- The test statistic ? z t = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is ? ≤ > αα
- Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest the population proportion is not
**significantly**lower than 16% at αα = 0.05, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be equal to 16%. - The data suggest the population proportion is not
**significantly**lower than 16% at αα = 0.05, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be lower than 16%. - The data suggest the populaton proportion is
**significantly**lower than 16% at αα = 0.05, so there is statistically significant evidence to conclude that the the percentage of all registered voters who will vote in the upcoming election will be lower than 16%.

- The data suggest the population proportion is not

Answer #1

a) z-test for a population proportion

b) against

c) Here

sample proportion

and sample size

The test statistic can be written as

which under H_{0} follows a standard normal
distribution.

We reject H_{0} at 0.05 level of significance if P-value
< 0.05

Now,

The value of the test statistic

d) P-value

e) P-value <

f) Since P-value < , so we reject the null hypothesis.

g) The data suggest the population proportion is
**significantly** lower than 16% at αα = 0.05, so
there is statistically significant evidence to conclude that the
the percentage of all registered voters who will vote in the
upcoming election will be lower than 16%.

Only 16% of registered voters voted in the last election. Will
voter participation decline for the upcoming election? Of the 389
randomly selected registered voters surveyed, 43 of them will vote
in the upcoming election. What can be concluded at the α = 0.10
level of significance? For this study, we should use The null and
alternative hypotheses would be: H0: (please enter a decimal) H1:
(Please enter a decimal) The test statistic = (please show your
answer to 3...

Only 14% of registered voters voted in the last election. Will
voter participation decline for the upcoming election? Of the 365
randomly selected registered voters surveyed, 44 of them will vote
in the upcoming election. What can be concluded at the αα = 0.01
level of significance?
For this study, we should use Select an answer t-test for a
population mean z-test for a population proportion
The null and alternative hypotheses would be:
H0:H0: ? p μ Select an answer ≠...

Only 12% of registered voters voted in the last election. Will
voter participation increase for the upcoming election? Of the 321
randomly selected registered voters surveyed, 51 of them will vote
in the upcoming election. What can be concluded at the αα = 0.10
level of significance?
For this study, we should use Select an answer z-test for a
population proportion t-test for a population mean
The null and alternative hypotheses would be:
H0:H0: ? p μ Select an answer ≠...

Only 15% of registered voters voted in the last election. Will
voter participation increase for the upcoming election? Of the 355
randomly selected registered voters surveyed, 67 of them will vote
in the upcoming election. What can be concluded at the αα = 0.10
level of significance?
For this study, we should use Select an answer z-test for a
population proportion t-test for a population mean
The null and alternative hypotheses would be:
H0:H0: ? μ p Select an answer ≤...

Only 10% of registered voters voted in the last election. Will
voter participation increase for the upcoming election? Of the 316
randomly selected registered voters surveyed, 47 of them will vote
in the upcoming election. What can be concluded at the αα = 0.01
level of significance?
For this study, we should use Select an answer t-test for a
population mean z-test for a population proportion
The null and alternative hypotheses would be:
H0:H0: ? p μ ? < ≠ >...

Only 11% of registered voters voted in the last election. Will
voter participation change for the upcoming election? Of the 300
randomly selected registered voters surveyed, 48 of them will vote
in the upcoming election. What can be concluded at the αα = 0.01
level of significance?
For this study, we should use Select an answer z-test for a
population proportion t-test for a population mean
The null and alternative hypotheses would be:
H0:H0: ? μ p Select an answer =...

Only 13% of registered voters voted in the last election. Will
voter participation change for the upcoming election? Of the 306
randomly selected registered voters surveyed, 55 of them will vote
in the upcoming election. What can be concluded at the αα = 0.10
level of significance?
For this study, what sampling distribution would be used? Select
an answer -
Student's t distribution
binomial distribution
uniform distribution
standard normal distribution
The null and alternative hypotheses would be:
H0:
H1:
The...

Only 18% of registered voters voted in the last election. Will
voter participation increase for the upcoming election? Of the 365
randomly selected registered voters surveyed, 84 of them will vote
in the upcoming election. What can be concluded at the αα = 0.05
level of significance?
For this study, we should use Select an answer z-test for a
population proportion t-test for a population mean
The null and alternative hypotheses would be:
H0:H0: ? μ p ? = ≠ >...

You are conducting a study to see if the proportion of voters
who prefer the Democratic candidate is significantly smaller than
66% at a level of significance of αα = 0.05. According to your
sample, 44 out of 68 potential voters prefer the Democratic
candidate.
For this study, we should use Select an answer z-test for a
population proportion t-test for a population mean
The alternative hypothesis would be:
Ha1: ? p μ ? ≠ > =
< (Please enter a decimal)...

You are conducting a study to see if the proportion of voters
who prefer the Democratic candidate is significantly smaller than
59% at a level of significance of αα = 0.10. According to your
sample, 51 out of 88 potential voters prefer the Democratic
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For this study, we should use Select an answer t-test for a
population mean z-test for a population proportion
The null and alternative hypotheses would be:
Ho: ? p μ Select an answer < > =...

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