You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 72% at a level of significance of = 0.10. According to your sample, 53 out of 74 potential voters prefer the Democratic candidate.

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
2. The null and alternative hypotheses would be: Ho: ? p Select an answer = < > (please enter a decimal) H₁: ? p Select an answer = > < (Please enter a decimal)
3. The test statistic ? z t = (please show your answer to 3 decimal places.)
4. The p-value = (Please show your answer to 4 decimal places.)
5. The p-value is ? >
6. Based on this, we should Select an answer reject fail to reject accept 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.
   • 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 72% and if another 74 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 72%
   • If the proportion of voters who prefer the Democratic candidate is smaller than 72% and if another 74 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 72%.
   • There is a 10% chance that the proportion of voters who prefer the Democratic candidate is smaller than 72%.

• If the population proportion of voters who prefer the Democratic candidate is 72% and if another 74 voters are surveyed then there would be a 47.11% chance fewer than 71% of the 74 voters surveyed prefer the Democratic candidate.
• If the sample proportion of voters who prefer the Democratic candidate is 71% and if another 74 voters are surveyed then there would be a 47.11% chance of concluding that fewer than 72% of all voters surveyed prefer the Democratic candidate.
• There is a 72% chance of a Type I error.
• There is a 47.11% chance that fewer than 72% of all voters prefer the Democratic candidate.

• The data suggest the populaton proportion is significantly smaller than 72% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 72%
• The data suggest the population proportion is not significantly smaller than 72% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 72%.
• The data suggest the population proportion is not significantly smaller than 72% at = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 72%.