said that they prefer the Democratic candidate.

A news article that you read stated that 59% of voters prefer the Democratic candidate. You think that the actual percent is different. 126 of the 204 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?

1. For this study, we should use (z-test, t-test)   
2. The null and alternative hypotheses would be:    
    Ho:  (symbol) (symbol) _____          (please enter a decimal)   
    H₁:   (symbol) (symbol) _____         (Please enter a decimal)

1. The test statistic  (symbol)   = _____ (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   (symbol)  αα
4. Based on this, we should  (reject, accept, fail to reject)    the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest the population proportion is not significantly different 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 population proportion is not significantly different 59% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 59%.
   • The data suggest the populaton proportion is significantly different 59% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 59%
6. Interpret the p-value in the context of the study.
   • There is a 42.2% chance of a Type I error.
   • If the population proportion of voters who prefer the Democratic candidate is 59% and if another 204 voters are surveyed then there would be a 42.2% chance that either more than 62% of the 204 voters surveyed prefer the Democratic candidate or fewer than 56% of the 204 voters surveyed prefer the Democratic candidate.
   • If the sample proportion of voters who prefer the Democratic candidate is 62% and if another 204 voters are surveyed then there would be a 42.2% chance that we would conclude either fewer than 59% of all voters prefer the Democratic candidate or more than 59% of all voters prefer the Democratic candidate.
   • There is a 42.2% chance that the percent of all voters who prefer the Democratic candidate differs from 59%.
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.
   • If the population proportion of voters who prefer the Democratic candidate is 59% and if another 204 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 different 59%
   • There is a 5% chance that the proportion of voters who prefer the Democratic candidate is different 59%.
   • If the proportion of voters who prefer the Democratic candidate is different 59% and if another 204 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%.