A news article that you read stated that 58% of voters prefer the Democratic candidate. You think that the actual percent is larger. 168 of the 271 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.01 level of significance? a. For this study, we should use [Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ✓ H₁: ? Select an answer c. The test statistic ? ✓ = (please enter a decimal) (Please enter a decimal) (please show your answer to 3 decimal places.)

MATLAB: An Introduction with Applications
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A news article that you read stated that 58% of voters prefer the Democratic candidate. You think that the actual percent is larger. 168 of the 271 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.01 level of significance?

a. For this study, we should use [Select an answer]

b. The null and alternative hypotheses would be:

Ho: [?] [Select an answer] (please enter a decimal)
H₁: [?] [Select an answer] (Please enter a decimal)

c. The test statistic [?] = _______ (please show your answer to 3 decimal places.)

d. The p-value = _______ (Please show your answer to 4 decimal places.)

e. The p-value is [?] α

f. Based on this, we should [Select an answer] the null hypothesis.

g. Thus, the final conclusion is that ...

- ○ The data suggest the population proportion is not significantly larger 58% at α = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 58%.
- ○ The data suggest the population proportion is significantly larger 58% at α = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 58%
- ○ The data suggest the population proportion is not significantly larger 58% at α = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 58%.

h. Interpret the p-value in the context of the study.

- ○ There is a 9.15% chance of a Type I error.
- ○ If the population proportion of voters who prefer the Democratic candidate is 58% and if another 271 voters are surveyed then there would be a 9.15% chance that more than 62% of the 271 voters surveyed prefer the Democratic candidate.
- ○ If the sample proportion of voters who prefer the Democratic candidate is 62% and if another 271 voters are surveyed then there would be a 9.15% chance of concluding that more than 58% of all voters surveyed prefer the Democratic candidate.
- ○ There is a 9.15% chance that more than 58% of all voters prefer the Democratic candidate.

i. Select the correct choice in the context of the
Transcribed Image Text:A news article that you read stated that 58% of voters prefer the Democratic candidate. You think that the actual percent is larger. 168 of the 271 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.01 level of significance? a. For this study, we should use [Select an answer] b. The null and alternative hypotheses would be: Ho: [?] [Select an answer] (please enter a decimal) H₁: [?] [Select an answer] (Please enter a decimal) c. The test statistic [?] = _______ (please show your answer to 3 decimal places.) d. The p-value = _______ (Please show your answer to 4 decimal places.) e. The p-value is [?] α f. Based on this, we should [Select an answer] the null hypothesis. g. Thus, the final conclusion is that ... - ○ The data suggest the population proportion is not significantly larger 58% at α = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 58%. - ○ The data suggest the population proportion is significantly larger 58% at α = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 58% - ○ The data suggest the population proportion is not significantly larger 58% at α = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 58%. h. Interpret the p-value in the context of the study. - ○ There is a 9.15% chance of a Type I error. - ○ If the population proportion of voters who prefer the Democratic candidate is 58% and if another 271 voters are surveyed then there would be a 9.15% chance that more than 62% of the 271 voters surveyed prefer the Democratic candidate. - ○ If the sample proportion of voters who prefer the Democratic candidate is 62% and if another 271 voters are surveyed then there would be a 9.15% chance of concluding that more than 58% of all voters surveyed prefer the Democratic candidate. - ○ There is a 9.15% chance that more than 58% of all voters prefer the Democratic candidate. i. Select the correct choice in the context of the
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