4. A researcher reports that 80% of high school graduates, but only 40% of high school dropouts, would pass a basic literacy test. Assume that the researcher's claim is true. Suppose we give a basic literacy test to a random sample of 60 high school graduates and a separate random sample of 75 high school dropouts. Let p, and p, be the sample proportions of graduates and dropouts, respectively, who pass the test. a. What is the shape of the sampling distribution of p, - P,? Why? b. Find the mean of the sampling distribution. Show your work. C. Find the standard deviation of the sampling distribution. Show your work.

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
4. A researcher reports that 80% of high school graduates, but only 40% of high school dropouts, would pass
a basic literacy test. Assume that the researcher's claim is true. Suppose we give a basic literacy test to a
random sample of 60 high school graduates and a separate random sample of 75 high school dropouts.
Let p, and p, be the sample proportions of graduates and dropouts, respectively, who pass the test.
a. What is the shape of the sampling distribution of p, - P,? Why?
b. Find the mean of the sampling distribution. Show your work.
c. Find the standard deviation of the sampling distribution. Show your work.
Transcribed Image Text:4. A researcher reports that 80% of high school graduates, but only 40% of high school dropouts, would pass a basic literacy test. Assume that the researcher's claim is true. Suppose we give a basic literacy test to a random sample of 60 high school graduates and a separate random sample of 75 high school dropouts. Let p, and p, be the sample proportions of graduates and dropouts, respectively, who pass the test. a. What is the shape of the sampling distribution of p, - P,? Why? b. Find the mean of the sampling distribution. Show your work. c. Find the standard deviation of the sampling distribution. Show your work.
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 Means
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