In an article published in Psychology of Music (2010), researchers reported the results of a study conducted to investigate the effects of "romantic lyrics on compliance with a courtship request." The researchers recruited undergraduate female students who were studying social and managerial science and told them that "the purpose of the study was to discuss organic products with another participant." When a participant came in for the study, she was randomly assigned to listen to either a romantic song or a neutral song. After three minutes, she was greeted by a male "confederate" (chosen and trained by the researchers to pretend to be another participant), who while discussing the organic products also asked for her phone number so that he could call her up to ask her out. Of the 44 women who listened to the romantic song, 23 gave their phone numbers, whereas of the 43 who listened to the neutral song, only 12 did. Identify both the correct symbol and interpretation for the parameters of interest. Choose all that apply. romantic : The number of women who will give out their phone number after listening to a romantic song. neutral : The number of women who will give out their phone number after listening to a neutral song. neutral : The number of women who will give out their phone number after listening to a neutral song. romantic : The population proportion of all women who will give out their phone number after listening to a romantic song. neutral : The population proportion of all women who will give out their phone number after listening to a neutral song. romantic : The population proportion of all women who will give out their phone number after listening to a romantic song. neutral : The population proportion of all women who will give out their phone number after listening to a neutral song. romantic : The number of women who will give out their phone number after listening to a romantic song. State the null and alternative hypotheses in symbols. A. H0: romantic = neutral Ha: romantic < neutral B. H0: romantic = neutral Ha: romantic neutral C. H0: romantic = neutral Ha: romantic > neutral D. H0: romantic > neutral Ha: romantic = neutral Is it okay to use theory-based methods to test the hypotheses stated above? A. There are less than 10 successes (women who gave their phone number) and 10 failures (women who did not give their phone number) in each group, so the use of theory-based methods is invalid. B. There are more than 10 successes (women who gave their phone number) and 10 failures (women who did not give their phone number) in each group, so the use of theory-based methods is valid. C. There are less than 10 successes (women who gave their phone number) and 10 failures (women who did not give their phone number) in each group, so the use of theory-based methods is valid. D. There are more than 10 successes (women who gave their phone number) and 10 failures (women who did not give their phone number) in each group, so the use of theory-based methods is invalid. Interpret the p-value in the context of the study. A. The p-value of 0.0103 means that if there was no difference in the population proportions of women who would give their phone number whether listening to romantic or neutral music, there's a 1.03% chance of not obtaining sample proportions that differ by as much or more as in this study (0.2436 or more). B. The p-value of 0.0103 means that the proportion of women who would give their phone number when listening to romantic music is almost the same as the proportion of women who would having listening to neutral music. C. The p-value of 0.0103 means that the proportion of women who would give their phone number when listening to romantic music was different from the proportion of women who would having listening to neutral music. D. The p-value of 0.0103 means that if there was no difference in the population proportions of women who would give their phone number whether listening to romantic or neutral music, there's only a 1.03% chance of obtaining sample proportions that differ by as much or more as in this study (0.2436 or more). Interpret the 95% confidence interval in the context of the study. A. We are 95% confident that the probability a woman will give her number when listening to romantic music is 0.0422-0.4430 higher than when listening to neutral music. B. We are 95% confident that the probability a woman will not give her number when listening to romantic music is 0.0422-0.4430 higher than when listening to neutral music. C. We are 95% confident that the probability a woman will not give her number when listening to romantic music is 0.0422-0.4430 lower than when listening to neutral music. D. We are 95% confident that the probability a woman will give her number when listening to romantic music is 0.0422-0.4430 lower than when listening to neutral music