You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 67% at a level of significance of a = 0.01. According to your sample, 35 out of 59 potential voters prefer the Democratic candidate. a. For this study, we should use |Select an answer b. The null and alternative hypotheses would be: Ho: 2v Select an answerv please enter a decimal) H1: 2v Select an answer (Please enter a decimal) c. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should | Select an answer the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly smaller than 67% at or = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 67%. The data suggest the populaton proportion is significantly smaller than 67% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 67% The data suggest the population proportion is not significantly smaller than 67% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 67%. h. Interpret the p-value in the context of the study. There is a 10.49% chance that fewer than 67% of all voters prefer the Democratic candidate. If the population proportion of voters who prefer the Democratic candidate is 67% and if another 59 voters are surveyed then there would be a 10.49% chance fewer than 59% of the 59 voters surveyed prefer the Democratic candidate. There is a 67% chance of a Type I error. If the sample proportion of voters who prefer the Democratic candidate is 59% and if another 59 voters are surveyed then there would be a 10.4% chance of concluding that fewer than 67% of all voters surveyed prefer the Democratic candidate. i. Interpret the level of significance in the context of the study. There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 67%. If the population proportion of voters who prefer the Democratic candidate is 67% and if another 59 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller than 67% If the proportion of voters who prefer the Democratic candidate is smaller than 67% and if another 59 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 67%. There is a 1% chance that the earth is flat and we never actually sent a man to the moon
