You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 50% at a level of significance of = 0.05. According to your sample, 28 out of 64 potential voters prefer the Democratic candidate.

1. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean Correct
2. The null and alternative hypotheses would be: Ho: ? p Correct Select an answer = < > Correct Incorrect (please enter a decimal) H₁: ? p Correct Select an answer < = > Correct Incorrect (Please enter a decimal)
3. The test statistic ? z t Correct = Incorrect (please show your answer to 3 decimal places.)
4. The p-value = Incorrect (Please show your answer to 4 decimal places.)
5. The p-value is ? > Correct
6. Based on this, we should Select an answer reject accept fail to reject Correct the null hypothesis.
7. Thus, the final conclusion is that ...
8. Interpret the p-value in the context of the study.
9. Interpret the level of significance in the context of the study.
   • If the proportion of voters who prefer the Democratic candidate is smaller than 50% and if another 64 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 50%.
   • There is a 5% chance that the proportion of voters who prefer the Democratic candidate is smaller than 50%.
   • If the population proportion of voters who prefer the Democratic candidate is 50% and if another 64 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 50%
   • There is a 5% chance that the earth is flat and we never actually sent a man to the moon.

• If the sample proportion of voters who prefer the Democratic candidate is 44% and if another 64 voters are surveyed then there would be a 15.87% chance of concluding that fewer than 50% of all voters surveyed prefer the Democratic candidate.
• There is a 50% chance of a Type I error.
• There is a 15.87% chance that fewer than 50% of all voters prefer the Democratic candidate.
• If the population proportion of voters who prefer the Democratic candidate is 50% and if another 64 voters are surveyed then there would be a 15.87% chance fewer than 44% of the 64 voters surveyed prefer the Democratic candidate.

1. Incorrect

• The data suggest the population proportion is not significantly smaller than 50% at = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 50%.
• The data suggest the population proportion is not significantly smaller than 50% at = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 50%.
• The data suggest the populaton proportion is significantly smaller than 50% at = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 50%

1. Correct