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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Topic Video
Question

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill