Question 1

The rejection region is called __________ if it consists only of small values of the test statistic.

Accepted Answer

lower-tailed

Question 2

A __________ error is usually more serious than a __________ error.

Accepted Answer

type I, type II

Question 3

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal with known standard deviation $\sigma ,$ then if the alternative hypothesis is $H _ { \pm } : \mu < \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

Accepted Answer

$z \leq - z _ { \alpha }$

Question 4

A __________ error involves not rejecting the null hypothesis $H _ { o } \text { when } H _ { o }$ is false.

Accepted Answer

The answer of A __________ error involves not rejecting the...

Question 5

The rejection region is called __________ if it consists only of large values of the test statistic.

Accepted Answer

The answer of The rejection region is called __________ if...

Question 6

The null hypothesis will be rejected if and only if the observed or computed __________ value falls in the __________.

Accepted Answer

The answer of The null hypothesis will be rejected if...

Question 7

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal with known standard deviation $\sigma ,$ then if the alternative hypothesis is $H _ { a } : \mu \neq \mu _ { 0 } ,$ the rejection region for a level $\alpha$ test is either __________ or __________.

Accepted Answer

The answer of Suppose a test procedure about the population...

Question 8

If the null hypothesis is $H _ { o } : \mu = 100 , \bar { x } = 105 \text {, and } \sigma _ { \bar { x } } = \sigma / \sqrt { n } = 2.5$ then the test statistic value is z = __________.

Accepted Answer

The answer of If the null hypothesis is \(H _...

Question 9

An engineer has suggested a change in the production process in the belief that it will result in a reduced defective rate. Let p denote the true proportion of defective items resulting from the changed process, and that 5% of items produced by a manufacturer during a certain period were defective. Then the research hypothesis is the assertion that __________.

Accepted Answer

The answer of An engineer has suggested a change in...

Question 10

The __________ hypothesis should be identified with the hypothesis of no change, no difference, no improvement, and son on.

Accepted Answer

The answer of The __________ hypothesis should be identified with...

Question 11

A __________ error consists of rejecting the null hypothesis $H _ { o } \text { when } H _ { o }$ is true.

Accepted Answer

The answer of A __________ error consists of rejecting the...

Question 12

For any significance level $\alpha$ the two-tailed rejection region $z \geq z _ { \alpha / 2 } \text { or } z \leq - z _ { \alpha / 2 }$  has type I error probability equal to __________.

Accepted Answer

The answer of For any significance level $\alpha$ the two-tailed...

Question 13

If $X _ { 1 } , X _ { 2 } , \ldots \ldots , X _ { n }$ is a random sample from a normal distribution, and the sample size n is small, then the standardized variable $T = ( \bar { X } - \mu ) / ( S / \sqrt { n } )$ has a __________ distribution with __________ degrees of freedom.

Accepted Answer

The answer of If \(X _ { 1 } ,...

Question 14

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal with known standard deviation $\sigma ,$ then if the alternative hypothesis is $H _ { \pm } : \mu > \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

Accepted Answer

The answer of Suppose a test procedure about the population...

Question 15

The probabilities of type I and type II errors are traditionally denoted by the Greek letters __________ and __________, respectively.

Accepted Answer

The answer of The probabilities of type I and type...

Question 16

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal and the sample size n is small, then if the alternative hypothesis is $H _ { \pm } : \mu > \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

Accepted Answer

The answer of Suppose a test procedure about the population...

Question 17

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal and the sample size n is small, then if the alternative hypothesis is $H _ { \pm } : \mu < \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

Accepted Answer

The answer of Suppose a test procedure about the population...

Question 18

In many situations, the alternative hypothesis is referred to as the __________ hypothesis, since it is the statement the researcher would really like to validate.

Accepted Answer

The answer of In many situations, the alternative hypothesis is...

Question 19

The value $\alpha$ that represents the probability of type I error is often referred to as the __________ of the test.

Accepted Answer

The answer of The value $\alpha$ that represents the probability...

Question 20

In our treatment of hypothesis testing, the __________ hypothesis will always be stated as an equality claim.

Accepted Answer

The answer of In our treatment of hypothesis testing, the...

Quiz 8: Tests of Hypotheses Based on a Single Sample

The rejection region is called __________ if it consists only of small values of the test statistic.

A error is usually more serious than a error.

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal with known standard deviation $\sigma ,$ then if the alternative hypothesis is $H _ { \pm } : \mu < \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

A __________ error involves not rejecting the null hypothesis $H _ { o } \text { when } H _ { o }$ is false.

The rejection region is called __________ if it consists only of large values of the test statistic.

The null hypothesis will be rejected if and only if the observed or computed value falls in the .

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal with known standard deviation $\sigma ,$ then if the alternative hypothesis is $H _ { a } : \mu \neq \mu _ { 0 } ,$ the rejection region for a level $\alpha$ test is either or .

If the null hypothesis is $H _ { o } : \mu = 100 , \bar { x } = 105 \text {, and } \sigma _ { \bar { x } } = \sigma / \sqrt { n } = 2.5$ then the test statistic value is z = __________.

The __________ hypothesis should be identified with the hypothesis of no change, no difference, no improvement, and son on.

A __________ error consists of rejecting the null hypothesis $H _ { o } \text { when } H _ { o }$ is true.

For any significance level $\alpha$ the two-tailed rejection region $z \geq z _ { \alpha / 2 } \text { or } z \leq - z _ { \alpha / 2 }$ has type I error probability equal to __________.

If $X _ { 1 } , X _ { 2 } , \ldots \ldots , X _ { n }$ is a random sample from a normal distribution, and the sample size n is small, then the standardized variable $T = ( \bar { X } - \mu ) / ( S / \sqrt { n } )$ has a distribution with degrees of freedom.

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal with known standard deviation $\sigma ,$ then if the alternative hypothesis is $H _ { \pm } : \mu > \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

The probabilities of type I and type II errors are traditionally denoted by the Greek letters and , respectively.

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal and the sample size n is small, then if the alternative hypothesis is $H _ { \pm } : \mu > \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal and the sample size n is small, then if the alternative hypothesis is $H _ { \pm } : \mu < \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

In many situations, the alternative hypothesis is referred to as the __________ hypothesis, since it is the statement the researcher would really like to validate.

The value $\alpha$ that represents the probability of type I error is often referred to as the __________ of the test.

In our treatment of hypothesis testing, the __________ hypothesis will always be stated as an equality claim.

Quiz 8: Tests of Hypotheses Based on a Single Sample

The rejection region is called __________ if it consists only of small values of the test statistic.

A __________ error is usually more serious than a __________ error.

A __________ error involves not rejecting the null hypothesis Ho when HoH _ { o } \text { when } H _ { o }Ho​ when Ho​ is false.

The rejection region is called __________ if it consists only of large values of the test statistic.

The null hypothesis will be rejected if and only if the observed or computed __________ value falls in the __________.

If the null hypothesis is Ho:μ=100,xˉ=105, and σxˉ=σ/n=2.5H _ { o } : \mu = 100 , \bar { x } = 105 \text {, and } \sigma _ { \bar { x } } = \sigma / \sqrt { n } = 2.5Ho​:μ=100,xˉ=105, and σxˉ​=σ/n​=2.5 then the test statistic value is z = __________.

The __________ hypothesis should be identified with the hypothesis of no change, no difference, no improvement, and son on.

A __________ error consists of rejecting the null hypothesis Ho when HoH _ { o } \text { when } H _ { o }Ho​ when Ho​ is true.

For any significance level α\alphaα the two-tailed rejection region z≥zα/2 or z≤−zα/2z \geq z _ { \alpha / 2 } \text { or } z \leq - z _ { \alpha / 2 }z≥zα/2​ or z≤−zα/2​ has type I error probability equal to __________.

The probabilities of type I and type II errors are traditionally denoted by the Greek letters __________ and __________, respectively.

Suppose a test procedure about the population mean μ\muμ is performed, when the population is normal and the sample size n is small, then if the alternative hypothesis is H±:μ>μoH _ { \pm } : \mu > \mu _ { o }H±​:μ>μo​ the rejection region for a level α\alphaα test is __________.

Suppose a test procedure about the population mean μ\muμ is performed, when the population is normal and the sample size n is small, then if the alternative hypothesis is H±:μ<μoH _ { \pm } : \mu < \mu _ { o }H±​:μ<μo​ the rejection region for a level α\alphaα test is __________.

In many situations, the alternative hypothesis is referred to as the __________ hypothesis, since it is the statement the researcher would really like to validate.

The value α\alphaα that represents the probability of type I error is often referred to as the __________ of the test.

In our treatment of hypothesis testing, the __________ hypothesis will always be stated as an equality claim.

A error is usually more serious than a error.

A __________ error involves not rejecting the null hypothesis $H _ { o } \text { when } H _ { o }$ is false.

The null hypothesis will be rejected if and only if the observed or computed value falls in the .

If the null hypothesis is $H _ { o } : \mu = 100 , \bar { x } = 105 \text {, and } \sigma _ { \bar { x } } = \sigma / \sqrt { n } = 2.5$ then the test statistic value is z = __________.

A __________ error consists of rejecting the null hypothesis $H _ { o } \text { when } H _ { o }$ is true.

For any significance level $\alpha$ the two-tailed rejection region $z \geq z _ { \alpha / 2 } \text { or } z \leq - z _ { \alpha / 2 }$ has type I error probability equal to __________.

The probabilities of type I and type II errors are traditionally denoted by the Greek letters and , respectively.

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal and the sample size n is small, then if the alternative hypothesis is $H _ { \pm } : \mu > \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

Suppose a test procedure about the population mean $\mu$ is performed, when the population is normal and the sample size n is small, then if the alternative hypothesis is $H _ { \pm } : \mu < \mu _ { o }$ the rejection region for a level $\alpha$ test is __________.

The value $\alpha$ that represents the probability of type I error is often referred to as the __________ of the test.