Only about 10% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 387 millionaires surveyed, 27 could wiggle their ears. What can be concluded at the 'alpha' = 0.05 level of significance? a. For this study, we should use Select an answer V b. The null and alternative hypotheses would be: 'H,O:' ? V Select an answer V (please enter a decimal) 'H,1:' ? V Select an answer V (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 3 decimal places.) e, The p-value is ? V 'alpha' r. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that The data suggest the population proportion is not significantly lower than 10% at 'alpha' = (105, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 10%. The data suggest the population proportion is not significantly lower than 10% at 'alpha' = 005, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 10%. The data suggest the populaton proportion is significantly lower than 10% at Valpha' = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 10%. 0 Question 14 El' 0/1 pt '0 Z You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly smaller than 61% at a significance level of 'alpha' = 0.10. According to your sample, 43 out of 83 potential voters prefer Candidate A. 1. For this study, we should use Select an answer V Z. The null and alternative hypotheses would be: 'l'LO': ? V Selectan answer V (pleaseenteradecimal) 'H71 '1 ? V Select an answer V (Please enter a decimal) 3. The test statistic = (please show your answer to 3 decimal places.) 4. The p-value = (Please show your answer to 4 decimal places.) 5. The p-value is Select an answer V 'alpha' 6. Based on this, we should Select an answer V the null hypothesis, 7. As such, the final conclusion is that The sample data suggest that the population proportion is not significantly smaller than 61% at ' alpha' = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 61%. The sample data suggest that the populaton proportion is significantly smaller than 61% at 'alpha' = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer Candidate A is smaller than 61% 0 Question 15 30/1 pt '0 z You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 65% at a level of significance of 'alpha' = 0.05. According to your sample, 55 out of 77 potential voters prefer the Democratic candidate. a. For this study, we should use Seiect an answer V b. The null and alternative hypotheses would be: Ho: '? V Select an answer V (please enter a decimal) H1: ? V Select an answer V (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 'alpha' f. Based on this, we should Seiectan answer V the null hypothesis. g. Thus, the final conclusion is that The data suggest the populaton proportion is significantly larger than 65% at 'alpha' - 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 65% The data suggest the population proportion is not significantly larger than 65% at 'alpha' 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 65%. The data suggest the population proportion is not significantly larger than 65% at 'alpha' 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 65%. h. Interpret the p-value in the context of the study. There is a 11.85% chance of a Type I error. If the population proportion of voters who prefer the Democratic candidate is 65% and if another 77 voters are surveyed then there would be a 11.85% chance that more than 72% of the 77 voters surveyed prefer the Democratic candidate. If the sample proportion of voters who prefer the Democratic candidate is 72% and if another 77 voters are surveyed then there would be a 11.85% chance of concluding that more than 65% of all voters surveyed prefer the Democratic candidate. There is a 11.85% chance that more than 65% of all voters prefer the Democratic candidate. 1. Interpret the level of significance in the context of the study. There is a 5% chance that the proportion of voters who prefer the Democratic candidate is larger than 65%. There is a 5% chance that the earth is flat and we never actually sent a man to the moon. If the proportion of voters who prefer the Democratic candidate is larger than 65% and if another 77 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 65%. If the population proportion of voters who prefer the Democratic candidate is 65% and if another 77 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 larger than 65% that we would end up falsely concluding that the proportion of all inner city residents who 8% of all Americans suffer from sleep apnea. A researcher suspects that a dlfferent percentage of those have sleep apnea is equal to 8%. who live in the inner city have sleep apnea, Of the 305 people from the inner city surveyed, 18 of them suffered from sleep apnea. What can be concluded at the level of significance of 'alpha' = 0.01? a. For this study, we should use Select an answer V b. The null and alternative hypotheses would be: Ho: 9 v Select an answer v (please enter a decimal) H1: 7 V SeEect an answer V (Please enteradecimal) c, The test statistic ? V = (please show your answer to 3 decimal places.) (1 The p-value = (Please show your answer to 4 decimal places.) e, The p-value is '2 V 'alpha' f. Based on this, we should Select an answer V the null hypothesis. g. Thus, the final conclusion is that The data suggest the populaton proportion is sig ificantly different from 8% at ' alpha' = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 8% The data suggest the population proportion is not significantly different from 8% at 'alpha' = 0.01, so there is not sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is different from 8%. The data suggest the population proportion is not significantly different from 8% at 'alpha' = 0.01, so there is sufficient evidence to conclude that the population proportion of inner city residents who have sleep apnea is equal to 8%. h. Interpret the p-value in the context of the study. If the sample proportion of inner city residents who have sleep apnea is 6% and if another 305 inner city residents are surveyed then there would be a 17.68% chance that we would conclude either fewer than 8% of all inner city residents have sleep apnea or more than 8% of all inner city residents have sleep apnea. If the population proportion of inner city residents who have sleep apnea is 8% and if another 305 inner city residents are surveyed then there would be a 17.68% chance that either fewer than 6% of the 305 inner city residents surveyed have sleep apnea or more than 10% of the 305 inner city residents have sleep apnea, There is a 17.68% chance of a Type I error, There is a 17.68% chance that the percent of all inner city residents have sleep apnea differs from 896' i, Interpret the level of significance in the context of the study. There is a 1% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth. There is a 1% chance that the proportion of all inner city residents who have sleep apnea is different from 8%. If the population proportion of inner city residents who have sleep apnea is 8% and if another 305 inner city residents are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of all inner city residents who have sleep apnea is different from 8%. If the population proportion of inner city residents who have sleep apnea is different from 8% and if another 305 inner city residents are surveyed then there would be a 1% chance