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A news article that you read stated that 52% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 128 of
A news article that you read stated that 52% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 128 of the 279 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance? a. For this study, we should use Select an answer 0 b. The null and alternative hypotheses would be: Ho: ? G Select an answer 0 [:1 (please enter a decimal) H1: ? 0 Select an answer 0 (Please enter a decimal) c. The test statistic ? o = I: (please show your answer to 3 decimal places.) d. The p-value = I: (Please show your answer to 4 decimal places.) e. The p-value is 2 9 oz f. Based on this, we should Select an answer 0 the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population proportion is not significantly smaller 52% at a = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller 52%. O The data suggest the populaton proportion is significantly smaller 52% at 04 = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller 52% O The data suggest the population proportion is not significantly smaller 52% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 52%. h. Interpret the p-value in the context of the study. Q There is a 2.03% chance that fewer than 52% of all voters prefer the Democratic candidate. 0 There is a 52% chance of a Type I error. 0 If the sample proportion of voters who prefer the Democratic candidate is 46% and if another 279 voters are surveyed then there would be a 2.03% chance of concluding that fewer than 52% of all voters surveyed prefer the Democratic candidate. 0 If the population proportion of voters who prefer the Democratic candidate is 52% and if another 279 voters are surveyed then there would be a 2.03% chance fewer than 46% of the 279 voters surveyed prefer the Democratic candidate. i. Interpret the level of significance in the context of the study. 0 There is a 5% chance that the earth is flat and we never actually sent a man to the moon. 0 If the proportion of voters who prefer the Democratic candidate is smaller 52% and if another 279 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 52%. Q There is a 5% chance that the proportion of voters who prefer the Democratic candidate is smaller 52%. Q If the population proportion of voters who prefer the Democratic candidate is 52% and if another 279 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 52%
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