Question

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 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 < > = ≠ (please enter a decimal)

H_{1}: ? 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**smaller than 59% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 59%. - The data suggest the populaton proportion is
**significantly**smaller than 59% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 59% - The data suggest the population proportion is not
**significantly**smaller than 59% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 59%.

- The data suggest the population proportion is not
- Interpret the p-value in the context of the study.
- If the population proportion of voters who prefer the Democratic candidate is 59% and if another 88 voters are surveyed then there would be a 42.1% chance fewer than 58% of the 88 voters surveyed prefer the Democratic candidate.
- There is a 59% chance of a Type I error.
- If the sample proportion of voters who prefer the Democratic candidate is 58% and if another 88 voters are surveyed then there would be a 42.1% chance of concluding that fewer than 59% of all voters surveyed prefer the Democratic candidate.
- There is a 42.1% chance that fewer than 59% of all voters prefer the Democratic candidate.

- Interpret the level of significance in the context of the
study.
- There is a 10% chance that the earth is flat and we never actually sent a man to the moon.
- If the population proportion of voters who prefer the Democratic candidate is 59% and if another 88 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 59%
- If the proportion of voters who prefer the Democratic candidate is smaller than 59% and if another 88 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 59%.
- There is a 10% chance that the proportion of voters who prefer the Democratic candidate is smaller than 59%.

Answer #1

You are conducting a study to see if the proportion of voters
who prefer the Democratic candidate is significantly smaller than
55% at a level of significance of αα = 0.01. According to your
sample, 26 out of 56 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 null and alternative hypotheses would be:
Ho: ? μ p ? ≠ < = > (please enter...

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 larger than
58% at a level of significance of αα = 0.01. According to your
sample, 54 out of 86 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 < > ≠...

A news article that you read stated that 57% of voters prefer
the Democratic candidate. You think that the actual percent is
different. 151 of the 233 voters that you surveyed said that they
prefer the Democratic candidate. What can be concluded at the 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:
Ho: (p, μ) (?, =, >, <,...

You are conducting a study to see if the proportion of voters
who prefer Candidate A is significantly more than 0.6. You use a
significance level of α=0.001.
H0:p=0.6
H1:p>0.6
You obtain a sample of size n=734 in which there are 470
successes.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =

You are conducting a study to see if the proportion of voters
who prefer Candidate A is significantly more than 0.74. You use a
significance level of ?=0.002.
H0:p=0.74
H1:p>0.74
You obtain a sample of size n=551 in which there are 437
successes.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =

You are conducting a study to see if the proportion of voters
who prefer Candidate A is significantly different from 0.12. You
use a significance level of α=0.001 H0:p=0.12
H1:p≠0.12
You obtain a sample of size 312 in which there are 26
successes.
What is the test statistic for this sample? (Report answer accurate
to 3 decimal places.)
What is the p-value for this sample? (Report answer accurate to 4
decimal places.)

You are conducting a study to see if the proportion of voters
who prefer Candidate A is significantly less than 0.19. You use a
significance level of α=0.05.
You obtain a sample of size n=340 in which there are 49 successes.
Round your sample proportion to three decimal places.
Perform a hypothesis test.
Cleary label and show all four steps of the test as shown in
the video.
Use only the standard normal table to calculate your
probability.
Write your...

The average salary for American college graduates is $42,400.
You suspect that the average is less for graduates from your
college. The 59 randomly selected graduates from your college had
an average salary of $41,616 and a standard deviation of $8,550.
What can be concluded at the αα = 0.10 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: ?...

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 ≠...

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