Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780134435855
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Textbook Question
Chapter 7.1, Problem 12PB
Gender distributions At a university, 60% of the 7,400 students are female. The student newspaper reports results of a survey of a random sample of 50 students about various topics involving alcohol abuse, such as participation in binge drinking. They report that their sample contained 26 females.
- a. Explain how you can set up a binary random variable X to represent gender.
- b. Identify the population distribution of gender at this university. Sketch a graph.
- c. Identify the data distribution of gender for this sample. Sketch a graph.
- d. Identify the sampling distribution of the sample proportion of females in the sample. State its mean and standard deviation for a random
sample of size 50. Sketch a graph. - e. Use the Sampling Distribution app accessible from the book’s website to check your answers from parts b through d. Set the population proportion equal to p = 0.60 and n = 50. Compare the population, data, and sampling distribution graph from the app with your graphs from parts b through d.
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Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 7 Solutions
Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (4th Edition)
Ch. 7.1 - Simulating the exit poll Simulate an exit poll of...Ch. 7.1 - Simulate condo solicitations A company that is...Ch. 7.1 - Condo sample distribution Consider the sampling...Ch. 7.1 - iPhone apps Let p = 0.25 be the proportion of...Ch. 7.1 - Other scenario for exit poll Refer to Examples 1...Ch. 7.1 - Prob. 6PBCh. 7.1 - Random variability in baseball A baseball player...Ch. 7.1 - Relative frequency of heads Construct the sampling...Ch. 7.1 - Prob. 9PBCh. 7.1 - Effect of n on sample proportion The figure...
Ch. 7.1 - Syracuse full-time students Youd like to estimate...Ch. 7.1 - Gender distributions At a university, 60% of the...Ch. 7.1 - Prob. 13PBCh. 7.1 - Prob. 14PBCh. 7.2 - Simulate taking midterms Assume that the...Ch. 7.2 - Education of the self-employed According to a...Ch. 7.2 - Rolling one die Let X denote the outcome of...Ch. 7.2 - Playing roulette A roulette wheel in Las Vegas has...Ch. 7.2 - Simulate rolling dice Access the Sampling...Ch. 7.2 - Prob. 20PBCh. 7.2 - Shared family phone plan A recent personalized...Ch. 7.2 - Dropped from plan previous exercise mentions that...Ch. 7.2 - Restaurant profit? Jans All You Can Eat Restaurant...Ch. 7.2 - Survey accuracy A study investigating the...Ch. 7.2 - Blood pressure Vincenzo Baranello was diagnosed...Ch. 7.2 - Household size According to the 2010 U.S. census...Ch. 7.2 - Average monthly sales A large corporation employs...Ch. 7.2 - Prob. 28PBCh. 7.2 - CLT for skewed population Access the Sampling...Ch. 7.2 - Prob. 30PBCh. 7 - Practicing the Basics Exam performance An exam...Ch. 7 - Blue eyes According to a Boston Globe story, only...Ch. 7 - Prob. 33CPCh. 7 - Prob. 34CPCh. 7 - Prob. 35CPCh. 7 - Returning shipment Refer to the previous exercise,...Ch. 7 - Prob. 37CPCh. 7 - Home runs Based on data from the 2010 Major League...Ch. 7 - Physicians assistants The 2006 AAPA survey of the...Ch. 7 - Bank machine withdrawals An executive in an...Ch. 7 - PDI The scores on the Psychomotor Development...Ch. 7 - Number of sex partners According to recent General...Ch. 7 - Prob. 43CPCh. 7 - Too little or too much cola? Refer to the previous...Ch. 7 - Prob. 45CPCh. 7 - Prob. 46CPCh. 7 - Prob. 47CPCh. 7 - Purpose of sampling distribution Youd like to...Ch. 7 - Prob. 49CPCh. 7 - Prob. 50CPCh. 7 - Prob. 51CPCh. 7 - Prob. 52CPCh. 7 - Prob. 53CPCh. 7 - Winning at roulette Part b of Example 7 used the...Ch. 7 - True or false As the sample size increases, the...Ch. 7 - Prob. 56CPCh. 7 - Prob. 57CPCh. 7 - Prob. 58CPCh. 7 - Prob. 59CPCh. 7 - Prob. 60CPCh. 7 - Prob. 61CPCh. 7 - Prob. 62CPCh. 7 - Prob. 63CP
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