Question

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 ≠ = < > (please enter a decimal)

H1:H1: ? μ p Select an answer > = < ≠ (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 reject fail to reject accept the null hypothesis.

Thus, the final conclusion is that ...

The data suggest the population proportion is not significantly higher than 12% at αα = 0.10, 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 12%.

The data suggest the populaton proportion is significantly higher than 12% at αα = 0.10, 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 higher than 12%.

The data suggest the population proportion is not significantly higher than 12% at αα = 0.10, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be higher than 12%.

Answer #1

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: p = 0.12

Alternative Hypothesis, Ha: p > 0.12

Test statistic,

z = (pcap - p)/sqrt(p*(1-p)/n)

z = (0.1589 - 0.12)/sqrt(0.12*(1-0.12)/321)

z = 2.145

P-value Approach

P-value = 0.0160

As P-value < 0.1, reject the null hypothesis.

The data suggest the populaton proportion is significantly higher
than 12% at αα = 0.10, 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 higher than
12%.

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 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 ? ≠ > <...

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 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 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 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 ? = ≠ >...

12% of all college students volunteer their time. Is the
percentage of college students who are volunteers different for
students receiving financial aid? Of the 311 randomly selected
students who receive financial aid, 56 of them volunteered their
time. 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...

12% of all college students volunteer their time. Is the
percentage of college students who are volunteers different for
students receiving financial aid? Of the 336 randomly selected
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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: ? μ...

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sample, 51 out of 88 potential voters prefer the Democratic
candidate.
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 < > =...

8
The average wait time to get seated at a popular restaurant in
the city on a Friday night is 10 minutes. Is the mean wait time
greater for men who wear a tie? Wait times for 12 randomly selected
men who were wearing a tie are shown below. Assume that the
distribution of the population is normal.
8, 8, 9, 10, 9, 9, 8, 9, 12, 11, 12, 11
What can be concluded at the the αα = 0.10...

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