- 9-4.1a: Find the proportions and for each. a. n 48, X 34 , b. n 75, X 28 , ...
- 9-4.1b: Find each X, given . a. 0.16, n 100 16 b. 0.08, n 50 4 c. 6%, n 800...
- 9-4.2: Find and for each. a. X1 60, n1 100, X2 40, n2 100 0.5; 0.5 b. X1 2...
- 9-4.3: Married People In a specific year 53.7% of men in the United States...
- 9-4.4: Undergraduate Financial Aid A study is conducted to determine if th...
- 9-4.5: High School Graduation Rates The overall U.S. public high school gr...
- 9-4.6: Animal Bites of Postal Workers In Cleveland, a sample of 73 mail ca...
- 9-4.7: Lecture versus Computer-Assisted Instruction A survey found that 83...
- 9-4.8: Leisure Time In a sample of 50 men, 44 said that they had less leis...
- 9-4.9: Desire to Be Rich In a sample of 80 Americans, 44 wished that they ...
- 9-4.10: Seat Belt Use In a sample of 200 men, 130 said they used seat belts...
- 9-4.11: Dog Ownership A survey found that in a sample of 75 families, 26 ow...
- 9-4.12: Bullying Bullying is a problem at any age but especially for studen...
- 9-4.13: Survey on Inevitability of War A sample of 200 teenagers shows that...
- 9-4.14: Hypertension It has been found that 26% of men 20 years and older s...
- 9-4.15: Partisan Support of Salary Increase Bill Find the 99% confidence in...
- 9-4.16: Airlines On-Time Arrivals The percentages of ontime arrivals for ma...
- 9-4.17: SeniorWorkers It seems that people are choosing or finding it neces...
- 9-4.18: Smoking Survey National statistics show that 23% of men smoke and 1...
- 9-4.19: College Education The percentages of adults 25 years of age and old...
- 9-4.20: If there is a significant difference between p1 and p2 and between ...
Solutions for Chapter 9-4: Testing the Difference Between Proportions
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
a-error (or a-risk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.
See Arithmetic mean.
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
Chi-square (or chi-squared) random variable
A continuous random variable that results from the sum of squares of independent standard normal random variables. It is a special case of a gamma random variable.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t
Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.
A matrix that provides the tests that are to be conducted in an experiment.
Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).
Error of estimation
The difference between an estimated value and the true value.
Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
Any test of signiicance involving the F distribution. The most common F-tests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.
A model that contains only irstorder terms. For example, the irst-order response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irst-order model is also called a main effects model
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.