Recall Exercise 5.2.32 about the study conducted to investigate the effects of romantic lyrics on compliance with

Question:

Recall Exercise 5.2.32 about the study conducted to investigate the effects of €œromantic lyrics on compliance with a courtship request.€ 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.
a. Define (in words) the parameters of interest of this study. Also, assign symbols to the parameters.
b. State, in symbols, the null and alternative hypotheses to test whether women are more likely to comply with a €œcourtship request€ when they have been listening to a romantic song rather than a neutral song.
c. Explain why it is okay to use theory-based methods to test the hypotheses stated above.

To analyze the data, the Theory-based Inference applet was used and the output is shown above.
d. From the applet output, identify the following:
i. The standardized statistic
ii. The p-value
iii. The 95% confidence interval
e. Interpret the p-value in the context of the study.
f. State your conclusion in the context of the study.
g. Interpret the 95% confidence interval in the context of the study.
h. Recall that the formula for the standardized statistic in this scenario is

P1 P2 P(1 – ) п2

Plug in relevant numbers into this formula and verify the value of the standardized statistic obtained using the applet.
i. Recall that the formula for the confidence interval in this scenario is

Pi - P2 + multiplier × (P,(1 – P1) , Þ:(1 - P2) П2

Plug in relevant numbers into this formula and verify the value of the 95% confidence interval obtained using the applet.
j. Suppose a different research team wants to investigate whether type of music affects the likelihood of compliance with a courtship request. If this research team uses the same data set to explore this, what would their p-value be? Answer without carrying out the test of significance. Explain your reasoning.