Are blonde female college students more likely to have boyfriends than brunette female college students? 443 of the 640 blondes surveyed had boyfriends and 428 of the 645 brunettes surveyed had boyfriends. What can be concluded at the a = 0.05 level of significance? For this study, we should use | Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer v (please enter a decimal) H1 : Select an answer Select an answer Select an answer V (Please enter a decimal) b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? v a e. Based on this, we should [ Select an answer| | the null hypothesis. f. Thus, the final conclusion is that .. The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend. The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend. The results are statistically insignificant at o = 0.05, so we can conclude that the population proportion of blonde college students who have a boyfriend is equal to the population proportion of brunette college students who have a boyfriend. The results are statistically significant at o = 0.05, so there is sufficient evidence to conclude that the proportion of the 640 blonde college students who have a boyfriend is greater than the proportion of the 645 brunette college students who have a boyfriend. g. Interpret the p-value in the context of the study. If the sample proportion of blonde college students who have a boyfriend is the same as the sample proportion of brunette college students who have a boyfriend and if another another 640 blonde college students and 645 brunette college students are surveyed then there would be a 13.62% chance of concluding that blonde college students are at least 2.9% more likely than brunette college students to have a boyfriend There is a 13.62% chance that blonde college students are 2.9% more likely than brunette college students to have a boyfriend. If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 640 blonde college students and 645 brunette college students are surveyed then there would be a 13.62% chance that the percent of the surveyed blonde college students who have a boyfriend would be at least 2.9% more than the percent of the surveyed brunette college students who have a boyfriend. There is a 13.62% chance of a Type | error. h. Interpret the level of significance in the context of the study. There is a 5% chance that you will never get a boyfriend unless you dye your hair blonde. There is a 5% chance that there is a difference in the proportion of blonde and brunette college students who have a boyfriend. If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 640 blonde college students and 645 brunette college students are surveyed then there would be a 5% chance that we would end up falsely concuding that the population proportion of blonde college students who have a boyfriend is greater than the population proportion of brunette college students who have a boyfriend If the percent of all blonde college students who have a boyfriend is the same as the percent of all brunette college students who have a boyfriend and if another 640 blonde college students and 645 brunette college students are surveyed then there would be a 5% chance that we would end up falsely concuding that the proportion of these surveyed blonde and brunette college students who have a boyfriend differ from each other
