You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 63% at a level of significance of

= 0.01. According to your sample, 32 out of 54 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?tz=(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 answerfail to rejectacceptrejectthe null hypothesis.
10. Thus, the final conclusion is that ...

• The data suggest the populaton proportion issignificantlysmaller than 63% at
• = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 63%
• The data suggest the population proportion is notsignificantlysmaller than 63% at
• = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 63%.
• The data suggest the population proportion is notsignificantlysmaller than 63% at
• = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 63%.

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

• There is a 63% chance of a Type I error.
• If the sample proportion of voters who prefer the Democratic candidate is 60% and if another 54 voters are surveyed then there would be a 28.46% chance of concluding that fewer than 63% of all voters surveyed prefer the Democratic candidate.
• If the population proportion of voters who prefer the Democratic candidate is 63% and if another 54 voters are surveyed then there would be a 28.46% chance fewer than 60% of the 54 voters surveyed prefer the Democratic candidate.
• There is a 28.46% chance that fewer than 63% of all voters prefer the Democratic candidate.

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

• If the population proportion of voters who prefer the Democratic candidate is 63% and if another 54 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 63%
• There is a 1% chance that the earth is flat and we never actually sent a man to the moon.
• There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 63%.
• If the proportion of voters who prefer the Democratic candidate is smaller than 63% and if another 54 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 63%.