Math

StatisticsUnderstanding Basic StatisticsTerminology Answer each of the following statements true or false regarding the level of significance a of a hypothesis test. (i) The level of significance is the probability of rejecting the null hypothesis when it is in fact true. (ii)The level of significance of a test depends on the value of the sample test statistic. (iii)The level of significance is generally set in advance before samples are drawn. (iv)The level of significance depends on the alternate hypothesis. (v) The level of significance of a test depends on the sample size.BuyFind*launch*

8th Edition

Charles Henry Brase + 1 other

Publisher: Cengage Learning

ISBN: 9781337558075

Chapter 9, Problem 1CR

Textbook Problem

**Terminology** Answer each of the following statements true or false regarding the *level of significance a* of a hypothesis test.

(i) The level of significance is the probability of rejecting the null hypothesis when it is in fact true.

(ii)The level of significance of a test depends on the value of the sample test statistic.

(iii)The level of significance is generally set in advance before samples are drawn.

(iv)The level of significance depends on the alternate hypothesis.

(v) The level of significance of a test depends on the sample size.

Expert Solution

**(i)**

To determine

The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true or false.

**Solution:** The statement “The level of significance is the probability of rejecting the null hypothesis when it is in fact true.” is true.

The level of significance is the probability of rejecting the null hypothesis when it is in fact true is true. This is the probability of type I error when we reject the null hypothesis.

Expert Solution

**(ii)**

To determine

The statement “The level of significance of a test depends on the value of the sample test statistic.” is true or false.

**Solution:** The statement “The level of significance of a test depends on the value of the sample test statistic.” is false.

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the level of significance of a test does not depend on the value of the sample test statistic.

Expert Solution

**(iii)**

To determine

The statement “The level of significance is generally set in advance before samples are drawn.” is true or false.

**Solution:** The statement “The level of significance is generally set in advance before samples are drawn.” is true.

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. Hence the statement “The level of significance is generally set in advance before samples are drawn.” is true.

Expert Solution

**(iv)**

To determine

The statement “The level of significance depends on the alternate hypothesis.” is true or false.

**Solution:** The statement “The level of significance depends on the alternate hypothesis” is false.

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance depends on the alternate hypothesis” is false.

Expert Solution

**(v)**

To determine

The statement “The level of significance of a test depends on the sample size.” is true or false.

**Solution:** The statement “The level of significance of a test depends on the sample size.” is false.

The level of significance is determined by the researcher before conducting the experiment. The significance level decides whether to reject the alternate hypothesis or not. The statement “The level of significance of a test depends on the sample size.” is false.

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Understanding Basic Statistics

Ch. 9.1 - Statistical Literacy Discuss each of the following...Ch. 9.1 - Statistical Literacy In a statistical test, we...Ch. 9.1 - Statistical Literacy If we fail to reject (i.e.,...Ch. 9.1 - Statistical Literacy If we reject the null...Ch. 9.1 - Statistical Literacy What terminology do we use...Ch. 9.1 - Statistical Literacy What terminology do we use...Ch. 9.1 - Statistical Literacy If the P-value in a...Ch. 9.1 - Statistical Literacy If the P-value in a...Ch. 9.1 - Statistical Literacy Suppose the P-value in a...Ch. 9.1 - Statistical Literacy Suppose the P-value in a...

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The margin of...Ch. 9.3 - Terminology Answer true or false. The margin of...Ch. 9.3 - Critical Thinking In general, if sample data are...Ch. 9.3 - Terminology Answer true or false. The margin of...Ch. 9.3 - Basic Computation: Testingp A random sample of 30...Ch. 9.3 - Basic Computation: Testingp A random sample of 60...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 7-21. please provide the following...Ch. 9.3 - For Problems 7-21, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - For Problems 721, please provide the following...Ch. 9.3 - Critical Region Method: Testing Proportions Solve...Ch. 9.3 - Critical Region Method: Testing Proportions Solve...Ch. 9.3 - Critical Region Method: Testing Proportions Solve...Ch. 9 - Terminology Answer each of the following...Ch. 9 - Terminology Answer each of the following...Ch. 9 - Statistical Literacy When testing how do we...Ch. 9 - Statistical Literacy What do we mean when we say a...Ch. 9 - Critical Thinking All other conditions being...Ch. 9 - Critical Thinking All other conditions being...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - Before you solve each problem below, first...Ch. 9 - "With Sampling. There Is Too a Free Lunch"This is...Ch. 9 - Review and discuss type I and type II errors...Ch. 9 - Review and discuss type I and type II errors...Ch. 9 - The following statements are very important. Give...Ch. 9 - In the text, it is said that a statistical test is...Ch. 9 - As access to computers becomes more and more...Ch. 9 - Statistical Literacy What are the values of the...Ch. 9 - Statistical Literacy According to the empirical...Ch. 9 - Statistical Literacy Please give a careful but...Ch. 9 - 4. Normal Distribution Oxygen demand is a term...Ch. 9 - Normal Approximation to the Binomial the majority...Ch. 9 - 6. 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