Hypothesis Testing for a single population mean.

MyOpenMuth You are conducting a study to see if the proportion 0' Vter5 Who prefer the Democratic candidate is significantly larger than 75% at a level of significance of a - 0.01. According to your sample, 76 out of 94 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: 7 v = Select an answer ' i (please enter a decimal) Hi: 7 V Select an answer I (Please enter a decimal) c. The test statistic ? v i - (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 2? v to: 1'. Based on this, we should SSeleci an answer v i the null hypothesis. 3. Thus, the final conclusion is that The data suggest the population proportion is not significantly larger than 75% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 75%. The data suggest the populaton proportion is significantly larger than 75% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 75% The data suggest the population proportion is not significantly larger than 75% at a = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 75%. h. interpret the p-value in the context of the study. There is a 9.51% chance of a Type I error. if the sample proportion of voters who prefer the Democratic candidate is 81% and if another 94 voters are surveyed then there would be a 9.51% chance of concluding that more than 75% of all voters surveyed prefer the Democratic candidate. There is a 9.51% chance that more than 75% of all voters prefer the Democratic candidate. if the population proportion of voters who prefer the Democratic candidate is 75% and if another 94 voters are surveyed then there would be a 9.51% chance that more than 81% of the 94 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 larger than 75%. if the proportion of voters who prefer the Democratic candidate is larger than 75% and if another 94 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 75%. If the population proportion of voters who prefer the Democratic candidate is 75% and if another 94 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 larger than 75% There is a 1% chance that the earth is at and we never actually sent a man to the moon