Question: Interpret the 95% confidence interval reported above and reported p-value from the significance test comparing the proportions, and then decide whether to reject the null hypothesis if α = 0.05.

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Question: Interpret the 95% confidence interval reported above and reported p-value from the significance test comparing the proportions, and then decide whether to reject the null hypothesis if α = 0.05.

In a survey conducted by Wright State University, high school seniors were asked if they had ever
used marijuana. Below are results from these data.
Total N
Sample proportion
0.3973
0.4455
Yes
Sample
Female
445
1120
Male
515
1156
T1= population proportion of female high school seniors who have used marijuana
T2= population proportion of male high school seniors who have used marijuana
îî – î2: 0.3973-0.4455 = -0.0482
95% Cl for 11 – T12: (-0.0887, -0.0077)
Ho π- π0
На: п1 — п2 # 0
z = -2.33
p-value = 0.020
Transcribed Image Text:In a survey conducted by Wright State University, high school seniors were asked if they had ever used marijuana. Below are results from these data. Total N Sample proportion 0.3973 0.4455 Yes Sample Female 445 1120 Male 515 1156 T1= population proportion of female high school seniors who have used marijuana T2= population proportion of male high school seniors who have used marijuana îî – î2: 0.3973-0.4455 = -0.0482 95% Cl for 11 – T12: (-0.0887, -0.0077) Ho π- π0 На: п1 — п2 # 0 z = -2.33 p-value = 0.020
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