question 14.

Question 14 Co/15 pts 9 10 2 4 0 Details You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 58% at a level of significance of a = 0.05. According to your sample, 41 out of 74 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: [? Select an answer V (please enter a decimal) Hy: 2 Select an answer (Please enter a decimal) c. The test statistic ? (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 v | the null hypothesis. . Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly smaller than 58% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 58% The data suggest the population proportion is not significantly smaller than 58% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 58%. The data suggest the population proportion is not significantly smaller than 58% at a = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 58%. h. Interpret the p-value in the context of the study. O If the population proportion of voters who prefer the Democratic candidate is 58% and if another 74 voters are surveyed then there would be a 32.56% chance fewer than 55% of the 74 voters surveyed prefer the Democratic candidate. O There is a 32.56% chance that fewer than 58% of all voters prefer the Democratic candidate. O There is a 58% chance of a Type | error. O If the sample proportion of voters who prefer the Democratic candidate is 55% and if another 74 voters are surveyed then there would be a 32.56% chance of concluding that fewer than 58% of all voters surveyed prefer the Democratic candidate. i. Interpret the level of significance in the context of the study. O If the proportion of voters who prefer the Democratic candidate is smaller than 58% and if another 74 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 58%. O If the population proportion of voters who prefer the Democratic candidate is 58% and if another 74 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 58% There is a 5% chance that the proportion of voters who prefer the Democratic candidate is smaller than 58%. O There is a 5% chance that the earth is flat and we never actually sent a man to the moon. Hint: Help Helpful Videos: Calculations [+] / Setup [+] Interpretations ) [+] Question Help: Message instructor Submit