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# Solutions for Chapter 20: Testing Hypotheses About Proportions

## Full solutions for Stats: Modeling The World | 3rd Edition

ISBN: 9780131359581

Solutions for Chapter 20: Testing Hypotheses About Proportions

Solutions for Chapter 20
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##### ISBN: 9780131359581

Stats: Modeling The World was written by and is associated to the ISBN: 9780131359581. Since 31 problems in chapter 20: Testing Hypotheses About Proportions have been answered, more than 44317 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Stats: Modeling The World , edition: 3. Chapter 20: Testing Hypotheses About Proportions includes 31 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Statistics Terms and definitions covered in this textbook
• 2 k p - factorial experiment

A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each

• 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).

• All possible (subsets) regressions

A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions

• Average

See Arithmetic mean.

• Center line

A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.

• Components of variance

The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.

• Conditional probability mass function

The probability mass function of the conditional probability distribution of a discrete random variable.

• Conidence coeficient

The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.

• Continuous random variable.

A random variable with an interval (either inite or ininite) of real numbers for its range.

• Counting techniques

Formulas used to determine the number of elements in sample spaces and events.

• Crossed factors

Another name for factors that are arranged in a factorial experiment.

• 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

• Defect

Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.

• Defects-per-unit control chart

See U chart

• Erlang random variable

A continuous random variable that is the sum of a ixed number of independent, exponential random variables.

• 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.

• Experiment

A series of tests in which changes are made to the system under study

• F-test

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.

• Frequency distribution

An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on

• Gaussian distribution

Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications

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