You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 73% at a level of significance of αα = 0.10. According to your sample, 63 out of 95 potential voters prefer the Democratic candidate. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:      Ho: ? p μ  Select an answer > ≠ < =   (please enter a decimal)     H1: ? p μ  Select an answer ≠ = > <   (Please enter a decimal) The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 73% at a level of significance of αα = 0.10. According to your sample, 63 out of 95 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 μ  Select an answer > ≠ < =   (please enter a decimal)   
    H₁: ? p μ  Select an answer ≠ = > <   (Please enter a decimal)

1. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
2. The p-value =  (Please show your answer to 4 decimal places.)
3. The p-value is ? > ≤  αα
4. Based on this, we should Select an answer accept fail to reject reject  the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest the populaton proportion is significantly smaller than 73% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 73%
   • The data suggest the population proportion is not significantly smaller than 73% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 73%.
   • The data suggest the population proportion is not significantly smaller than 73% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 73%.
6. Interpret the p-value in the context of the study.
   • If the sample proportion of voters who prefer the Democratic candidate is 66% and if another 95 voters are surveyed then there would be a 7.11% chance of concluding that fewer than 73% of all voters surveyed prefer the Democratic candidate.
   • If the population proportion of voters who prefer the Democratic candidate is 73% and if another 95 voters are surveyed then there would be a 7.11% chance fewer than 66% of the 95 voters surveyed prefer the Democratic candidate.
   •  There is a 73% chance of a Type I error.
   • There is a 7.11% chance that fewer than 73% of all voters prefer the Democratic candidate.
7. 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.
   • There is a 10% chance that the proportion of voters who prefer the Democratic candidate is smaller than 73%.
   • If the proportion of voters who prefer the Democratic candidate is smaller than 73% and if another 95 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 73%.
   • If the population proportion of voters who prefer the Democratic candidate is 73% and if another 95 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 73%