You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 57% at a level of significance of

= 0.10. According to your sample, 32 out of 51 potential voters prefer the Democratic candidate.

1. For this study, we should useSelect an answerz-test for a population proportiont-test for a population mean
2. The null and alternative hypotheses would be:
3. Ho:?pSelect an answer<=>(please enter a decimal)
4. H₁:?pSelect an answer<>=(Please enter a decimal)
5. The test statistic?zt=(please show your answer to 3 decimal places.)
6. The p-value =(Please show your answer to 4 decimal places.)
7. The p-value is?>
9. Based on this, we shouldSelect an answeracceptfail to rejectrejectthe null hypothesis.
10. Thus, the final conclusion is that ...

• The data suggest the population proportion is notsignificantlylarger than 57% at
• = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 57%.
• The data suggest the population proportion is notsignificantlylarger than 57% at
• = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 57%.
• The data suggest the populaton proportion issignificantlylarger than 57% at
• = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 57%

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

• There is a 20.36% chance that more than 57% of all voters prefer the Democratic candidate.
• If the sample proportion of voters who prefer the Democratic candidate is 62% and if another 51 voters are surveyed then there would be a 20.36% chance of concluding that more than 57% of all voters surveyed prefer the Democratic candidate.
• There is a 20.36% chance of a Type I error.
• If the population proportion of voters who prefer the Democratic candidate is 57% and if another 51 voters are surveyed then there would be a 20.36% chance that more than 62% of the 51 voters surveyed prefer the Democratic candidate.

1. Interpret the level of significance in the context of the study.

• There is a 10% chance that the proportion of voters who prefer the Democratic candidate is larger than 57%.
• If the proportion of voters who prefer the Democratic candidate is larger than 57% and if another 51 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 57%.
• If the population proportion of voters who prefer the Democratic candidate is 57% and if another 51 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 larger than 57%
• There is a 10% chance that the earth is flat and we never actually sent a man to the moon.