You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 59% at a level of significance of α α = 0.05. According to your sample, 52 out of 89 potential voters prefer the Democratic candidate. For this study, we should use Select an answer z-test for a population proportion t-test for a population mean Correct The null and alternative hypotheses would be:      Ho: ? p μ Correct Select an answer ≠ = < > Correct Correct (please enter a decimal)     H1: ? μ p Correct Select an answer = ≠ < > Correct Correct (Please enter a decimal) The test statistic ? z t Correct =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer reject accept fail to reject Incorrect the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly smaller than 59% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 59%. The data suggest the population proportion is not significantly smaller than 59% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 59%. The data suggest the populaton proportion is significantly smaller than 59% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 59% Correct Interpret the p-value in the context of the study. There is a 45.62% chance that fewer than 59% of all voters prefer the Democratic candidate. If the population proportion of voters who prefer the Democratic candidate is 59% and if another 89 voters are surveyed then there would be a 45.62% chance fewer than 58% of the 89 voters surveyed prefer the Democratic candidate. If the sample proportion of voters who prefer the Democratic candidate is 58% and if another 89 voters are surveyed then there would be a 45.62% chance of concluding that fewer than 59% of all voters surveyed prefer the Democratic candidate.  There is a 59% chance of a Type I error. Interpret the level of significance in the context of the study. There is a 5% chance that the earth is flat and we never actually sent a man to the moon. There is a 5% chance that the proportion of voters who prefer the Democratic candidate is smaller than 59%. If the proportion of voters who prefer the Democratic candidate is smaller than 59% and if another 89 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 59%. If the population proportion of voters who prefer the Democratic candidate is 59% and if another 89 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 59%

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 59% at a level of significance of α α = 0.05. According to your sample, 52 out of 89 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 μ Correct Select an answer ≠ = < > Correct Correct (please enter a decimal)   
    H₁: ? μ p Correct Select an answer = ≠ < > Correct Correct (Please enter a decimal)

1. The test statistic ? z t Correct =  (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 reject accept fail to reject Incorrect the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest the population proportion is not significantly smaller than 59% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 59%.
   • The data suggest the population proportion is not significantly smaller than 59% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 59%.
   • The data suggest the populaton proportion is significantly smaller than 59% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 59%

   Correct
6. Interpret the p-value in the context of the study.
   • There is a 45.62% chance that fewer than 59% of all voters prefer the Democratic candidate.
   • If the population proportion of voters who prefer the Democratic candidate is 59% and if another 89 voters are surveyed then there would be a 45.62% chance fewer than 58% of the 89 voters surveyed prefer the Democratic candidate.
   • If the sample proportion of voters who prefer the Democratic candidate is 58% and if another 89 voters are surveyed then there would be a 45.62% chance of concluding that fewer than 59% of all voters surveyed prefer the Democratic candidate.
   •  There is a 59% chance of a Type I error.
7. Interpret the level of significance in the context of the study.
   • There is a 5% chance that the earth is flat and we never actually sent a man to the moon.
   • There is a 5% chance that the proportion of voters who prefer the Democratic candidate is smaller than 59%.
   • If the proportion of voters who prefer the Democratic candidate is smaller than 59% and if another 89 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 59%.
   • If the population proportion of voters who prefer the Democratic candidate is 59% and if another 89 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 59%