Question

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.
The male confederate was kept unaware of the aim of the study and was trained to use the same script when talking to all the females.
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.

Define (in words) the parameters of interest of this study. Also, assign symbols to the parameters.

Answers:

μ_romantic= the long-run proportion of female participants who will give their phone number to the male confederate after listening to the romantic lyrics; μ_nonromantic= the long-run proportion of female participants who will give their phone number to the male confederate after listening to the nonromantic lyrics

π_romantic = the long-run proportion of female participants who will give their phone number to the male confederate after listening to the romantic lyrics; π_nonromantic = the long-run proportion of female participants who will give their phone number to the male confederate after listening to the nonromantic lyrics

p^_romantic= the long-run proportion of female participants who will give their phone number to the male confederate after listening to the romantic lyrics; p^_nonromantic= the long-run proportion of female participants who will give their phone number to the male confederate after listening to the nonromantic lyrics

x¯_romantic= the long-run proportion of female participants who will give their phone number to the male confederate after listening to the romantic lyrics; x¯_nonromantic= the long-run proportion of female participants who will give their phone number to the male confederate after listening to the nonromantic lyrics

State the null and alternative hypotheses in words.

Answers:

Null: A participant is more likely to give her phone number when the romantic music was played than the neutral music. Alt: Th ere is no association between the type of music played and the likelihood of the participant giving her phone number.

Null: There is no association between the type of music played and the likelihood of the participant giving her phone number. Alt: A participant is more likely to give her phone number when the romantic music was played than the neutral music.

Null: There is no association between the type of music played and the likelihood of the participant giving her phone number. Alt: There is an association between the type of music played and the likelihood of the participant giving her phone number.

Null: There is an association between the type of music played and the likelihood of the participant giving her phone number. Alt: There is no association between the type of music played and the likelihood of the participant giving her phone number.

State the null and alternative hypotheses in symbols.

Answers:

Null: π_romantic = π_non-romantic    Alt: π_romantic < π_non-romantic

Null: π_romantic = π_non-romantic    Alt: π_romantic ≠ π_non-romantic

Null: π_romantic = π_non-romantic    Alt: π_romantic > π_non-romantic

Answer 1

Here parameter of interest will be

= the long-run proportion of female participants who will give their phone number to the male confederate after listening to the romantic lyrics;

= the long-run proportion of female participants who will give their phone number to the male confederate after listening to the non romantic lyrics

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State the null and alternative hypotheses in words.

Null: There is no association between the type of music played and the likelihood of the participant giving her phone number. Alt: A participant is more likely to give her phone number when the romantic music was played than the neutral music.

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Null: πromantic = πnon-romantic    Alt: πromantic > πnon-romantic