You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 77% at a level of significance of = 0.10. According to your sample, 54 out of 76 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 ? t z = (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.

Submit QuestionQuestion 27

• There is a 10% chance that the proportion of voters who prefer the Democratic candidate is different from 77%.
• There is a 10% chance that the earth is flat and we never actually sent a man to the moon.
• If the proportion of voters who prefer the Democratic candidate is different from 77% and if another 76 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 77%.
• If the population proportion of voters who prefer the Democratic candidate is 77% and if another 76 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 different from 77%

• If the population proportion of voters who prefer the Democratic candidate is 77% and if another 76 voters are surveyed then there would be a 21.8% chance that either fewer than 71% of the 76 voters surveyed prefer the Democratic candidate or more than 83% of the 76 voters surveyed prefer the Democratic candidate.
• If the sample proportion of voters who prefer the Democratic candidate is 71% and if another 76 voters are surveyed then there would be a 21.8% chance that we would conclude either fewer than 77% of all voters prefer the Democratic candidate or more than 77% of all voters prefer the Democratic candidate.
• There is a 21.8% chance of a Type I error.
• There is a 21.8% chance that the percent of all voters who prefer the Democratic candidate differs from 77%.

• The data suggest the population proportion is not significantly different from 77% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 77%.
• The data suggest the populaton proportion is significantly different from 77% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 77%
• The data suggest the population proportion is not significantly different from 77% at = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 77%.