Question 1

Test Hypotheses about a Population Proportion
-The power of the test is

Accepted Answer

A)  $1 - \beta$. 
B)  $\alpha$. 
C)  $\beta$. 
D)  $1 - \alpha$. 
A)  $1 - \beta$. 
B)  $\alpha$. 
C)  $\beta$. 
D)  $1 - \alpha$.

Question 2

Provide an appropriate response.
-A hypothesis test is a "two-tailed" if the alternative hypothesis contains a _____sign.

Accepted Answer

A)  $z$ 
B)  + 
C)   
A)  $z$ 
B)  + 
C)

Question 3

Test Hypotheses about a Population Proportion
-According to a prestigious historical society, in $1999,7.2 \%$ of recent high school graduates believe that the Romans invented mayonnaise. A classics scholar believes that the percentage has increased since then. He randomly selects 125 recent high school graduates and finds that 17 of them believe in the Roman invention of mayonnaise. Test this researcher's claim at the $\alpha = 0.01$ level of significance.

Accepted Answer

@#LAT-DLM& and @#LAT-DLM&
Since 125(0.072) @#LAT-DLM&, we ca

Question 4

Test Hypotheses about a Population Proportion
-$$\text { Test the claim that } \sigma > 4.14 \text { if } \mathrm { n } = 18 , \mathrm {~s} = 4.92 \text {, and } \alpha = 0.01 \text {. Assume that the population is normally distributed. }$$

Accepted Answer

critical value @#LAT-DLM&; standardized

Question 5

Test Hypotheses about a Population Proportion
-$$\text { Test the claim about the population proportion } p \geq 0.700 \text { given } n = 50 \text { and }\hat { p}\ = 0.612 \text {. Use } \alpha = 0.10 \text {. }$$

Accepted Answer

The answer of Test Hypotheses about a Population Proportion
-\[\text {...

Question 6

Test Hypotheses about a Population Proportion
-The probability of making a Type II error is indicated by the letter

Accepted Answer

A)  $\beta$ 
B)  $\alpha$ 
C)  $\mu$ 
D)  $\sigma$ 
A)  $\beta$ 
B)  $\alpha$ 
C)  $\mu$ 
D)  $\sigma$

Question 7

State Conclusions to Hypothesis Tests
-The mean number of rushing yards for one NFL team was less than 99 yards per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Accepted Answer

A)  There is sufficient evidence to support the claim $\mu < 99$. 
B)  There is sufficient evidence to reject the claim $\mu < 99$. 
C)  There is not sufficient evidence to reject the claim $\mu < 99$. 
D)  There is not sufficient evidence to support the claim $\mu < 99$. 
A)  There is sufficient evidence to support the claim $\mu < 99$. 
B)  There is sufficient evidence to reject the claim $\mu < 99$. 
C)  There is not sufficient evidence to reject the claim $\mu < 99$. 
D)  There is not sufficient evidence to support the claim $\mu < 99$.

Question 8

Test Hypotheses about a Population Mean with Unknown
-$$\text { Use a t-test to test the claim } \mu < 10.9 \text { at } \alpha = 0.10 \text {, given the sample statistics } n = 20 , \bar { x } = 10.5 \text {, and } s = 2.0 \text {. }$$

Accepted Answer

The answer of Test Hypotheses about a Population Mean with...

Question 9

Explain the Logic of Hypothesis Testing
-Suppose you want to test the claim that $\mu < 65.4$. Given a sample size of $\mathrm { n } = 35$ and a level of significance of $\alpha = 0.10$, when should you reject $\mathrm { H } _ { 0 }$ ?

Accepted Answer

A)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is less than -1.28. 
B)  Reject $\mathrm { H } _ { 0 }$ if the standardized test is less than $- 2.33$. 
C)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is less than $- 2.575$. 
D)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is less than $- 1.96$. 
A)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is less than -1.28. 
B)  Reject $\mathrm { H } _ { 0 }$ if the standardized test is less than $- 2.33$. 
C)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is less than $- 2.575$. 
D)  Reject $\mathrm { H } _ { 0 }$ if the standardized test statistic is less than $- 1.96$.

Question 10

Test Hypotheses about a Population Mean with Known Using the Classical Approach
-You wish to test the claim that $\mu \neq 47$ at a level of significance of $\alpha = 0.01$ and are given sample statistics $n = 40$, $\bar { x } = 48.8$, and $\sigma = 4.3$. Compute the value of the test statistic. Round your answer to two decimal places.

Accepted Answer

A)  $2.65$ 
B)  $3.51$ 
C)  $2.12$ 
D)  $1.96$ 
A)  $2.65$ 
B)  $3.51$ 
C)  $2.12$ 
D)  $1.96$

Question 11

Test Hypotheses about a Population Proportion
-Test the claim that $\sigma \leq 16.11$ if $\mathrm { n } = 20 , \mathrm {~s} = 22.41$, and $\alpha = 0.01$. Assume that the population is normally distributed.

Accepted Answer

critical value @#LAT-DLM&; standardized

Question 12

Test Hypotheses about a Population Proportion
-A method currently used by doctors to screen women for possible breast cancer fails to detect cancer in $15 \%$ of the women who actually have the disease. A new method has been developed that researchers hope will be able to detect cancer more accurately. A random sample of 60 women known to have breast cancer were screened using the new method. Of these, the new method failed to detect cancer in 7 . Calculate the test statistic used by the researchers for this test of hypothesis.

Accepted Answer

The test s

Question 13

Test Hypotheses about a Population Mean with Known Using Confidence Intervals
-A group of 49 randomly selected construction workers has a mean age of $22.4$ years with a standard deviation of $3.8$. According to a recent survey, the mean age should be $\mu = 21.9$ years. Test this hypothesis by constructing a $98 \%$ confidence interval for the population mean.

Accepted Answer

The answer of Test Hypotheses about a Population Mean with...

Question 14

Test Hypotheses about a Population Proportion
-Determine the critical value, $\mathrm { z } 0$, to test the claim about the population proportion $\mathrm { p } \geq 0.700$ given $\mathrm { n } = 50$ and $\hat { \mathrm { p } } = 0.612$. Use $\alpha = 0.10$.

Accepted Answer

A)  $- 1.28$ 
B)  $- 1.96$ 
C)  $- 1.645$ 
D)  $- 2.33$ 
A)  $- 1.28$ 
B)  $- 1.96$ 
C)  $- 1.645$ 
D)  $- 2.33$

Question 15

Provide an appropriate response.
-The mean age of lawyers in New York is 52.1 years. Write the existing state and alternative hypotheses.

Accepted Answer

The answer of Provide an appropriate response.
-The mean age of...

Question 16

State Conclusions to Hypothesis Tests
-The mean monthly gasoline bill for one household is greater than $\$ 140$. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Accepted Answer

A)  There is sufficient evidence to support the claim $\mu > \$ 140$. 
B)  There is sufficient evidence to reject the claim $\mu > \$ 140$. 
C)  There is not sufficient evidence to reject the claim $\mu > \$ 140$. 
D)  There is not sufficient evidence to support the claim $\mu > \$ 140$. 
A)  There is sufficient evidence to support the claim $\mu > \$ 140$. 
B)  There is sufficient evidence to reject the claim $\mu > \$ 140$. 
C)  There is not sufficient evidence to reject the claim $\mu > \$ 140$. 
D)  There is not sufficient evidence to support the claim $\mu > \$ 140$.

Question 17

Test Hypotheses about a Population Proportion
-In 2002, the mean expenditure for auto insurance in a certain state was $\$ 806$. An insurance salesperson in this state believes that the mean expenditure for auto insurance is less today. She obtains a simple random sample of 32 auto insurance policies and determines the mean expenditure to be $\$ 781$ with a standard deviation of $\$ 39.13$. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the $\alpha = 0.05$ level of significance?

Accepted Answer

@#LAT-DLM&-value @#LAT-DLM&; reject @#LAT-DLM&. There is suf

Question 18

Test Hypotheses about a Population Mean with Known Using Confidence Intervals
-When testing $\mathrm { H } _ { 0 } : \mu = \mu _ { 0 }$, using confidence intervals, if $\mu$ is not contained in the confidence interval then we would

Accepted Answer

A)  reject $\mathrm { H } _ { 0 }$. 
B)  fail to reject $\mathrm { H } _ { 0 }$. 
C)  alter the level of confidence to allow $\mu$ to be in the confidence interval. 
D)  draw no conclusion and gather more sample data. 
A)  reject $\mathrm { H } _ { 0 }$. 
B)  fail to reject $\mathrm { H } _ { 0 }$. 
C)  alter the level of confidence to allow $\mu$ to be in the confidence interval. 
D)  draw no conclusion and gather more sample data.

Question 19

Test Hypotheses about a Population Mean with Known Using Confidence Intervals
-In a random sample of 60 digital cameras, the mean repair cost was $\$ 150$ with a standard deviation of $\$ 36$. A local repairman claims that the mean cost of repair should be $\$ 165$. Test this hypothesis by constructing a $99 \%$ confidence interval for the population mean.

Accepted Answer

The answer of Test Hypotheses about a Population Mean with...

Question 20

Test Hypotheses about a Population Mean with Unknown
-A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 10 new rackets at 42 psi. Suppose the two-tailed P-value for the test described above (obtained from a computer printout) is $0.08$. Give the proper conclusion for the test. Use $\alpha = 0.05$.

Accepted Answer

A)  There is sufficient evidence to conclude that $\mu$, the true mean tension of the rackets, is less than 42 psi. 
B)  Accept $\mathrm { H } _ { 0 }$ and conclude that $\mu$, the true mean tension of the rackets, equals 42 psi. 
C)  There is insufficient evidence to conclude that $\mu$, the true mean tension of the rackets, is less than 42 psi. 
D)  Reject $\mathrm { H } _ { 0 }$ and conclude that $\mu$, the true mean tension of the rackets, equals 42 psi. 
A)  There is sufficient evidence to conclude that $\mu$, the true mean tension of the rackets, is less than 42 psi. 
B)  Accept $\mathrm { H } _ { 0 }$ and conclude that $\mu$, the true mean tension of the rackets, equals 42 psi. 
C)  There is insufficient evidence to conclude that $\mu$, the true mean tension of the rackets, is less than 42 psi. 
D)  Reject $\mathrm { H } _ { 0 }$ and conclude that $\mu$, the true mean tension of the rackets, equals 42 psi.

Test Hypotheses about a Population Proportion -The power of the test is

Provide an appropriate response. -A hypothesis test is a "two-tailed" if the alternative hypothesis contains a _____sign.

Test Hypotheses about a Population Proportion - $\text { Test the claim that } \sigma > 4.14 \text { if } \mathrm { n } = 18 , \mathrm {~s} = 4.92 \text {, and } \alpha = 0.01 \text {. Assume that the population is normally distributed. }$

Test Hypotheses about a Population Proportion - $\text { Test the claim about the population proportion } p \geq 0.700 \text { given } n = 50 \text { and }\hat { p}\ = 0.612 \text {. Use } \alpha = 0.10 \text {. }$

Test Hypotheses about a Population Proportion -The probability of making a Type II error is indicated by the letter

State Conclusions to Hypothesis Tests -The mean number of rushing yards for one NFL team was less than 99 yards per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Test Hypotheses about a Population Mean with Unknown - $\text { Use a t-test to test the claim } \mu < 10.9 \text { at } \alpha = 0.10 \text {, given the sample statistics } n = 20 , \bar { x } = 10.5 \text {, and } s = 2.0 \text {. }$

Explain the Logic of Hypothesis Testing -Suppose you want to test the claim that $\mu < 65.4$ . Given a sample size of $\mathrm { n } = 35$ and a level of significance of $\alpha = 0.10$ , when should you reject $\mathrm { H } _ { 0 }$ ?

Test Hypotheses about a Population Proportion -Test the claim that $\sigma \leq 16.11$ if $\mathrm { n } = 20 , \mathrm {~s} = 22.41$ , and $\alpha = 0.01$ . Assume that the population is normally distributed.

Test Hypotheses about a Population Proportion -Determine the critical value, $\mathrm { z } 0$ , to test the claim about the population proportion $\mathrm { p } \geq 0.700$ given $\mathrm { n } = 50$ and $\hat { \mathrm { p } } = 0.612$ . Use $\alpha = 0.10$ .

Provide an appropriate response. -The mean age of lawyers in New York is 52.1 years. Write the existing state and alternative hypotheses.

State Conclusions to Hypothesis Tests -The mean monthly gasoline bill for one household is greater than $\$ 140$ . If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Test Hypotheses about a Population Mean with Known Using Confidence Intervals -When testing $\mathrm { H } _ { 0 } : \mu = \mu _ { 0 }$ , using confidence intervals, if $\mu$ is not contained in the confidence interval then we would

Data Collection

Creating Tables and Drawing Pictures of Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model and Multiple Regression

Nonparametric Statistics

Filters

Exam 10: Hypothesis Tests Regarding a Parameter

Test Hypotheses about a Population Proportion -The power of the test is

Provide an appropriate response. -A hypothesis test is a "two-tailed" if the alternative hypothesis contains a _____sign.

Test Hypotheses about a Population Proportion -The probability of making a Type II error is indicated by the letter

State Conclusions to Hypothesis Tests -The mean number of rushing yards for one NFL team was less than 99 yards per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Explain the Logic of Hypothesis Testing -Suppose you want to test the claim that μ<65.4\mu < 65.4μ<65.4 . Given a sample size of n=35\mathrm { n } = 35n=35 and a level of significance of α=0.10\alpha = 0.10α=0.10 , when should you reject H0\mathrm { H } _ { 0 }H0​ ?

Test Hypotheses about a Population Proportion -Test the claim that σ≤16.11\sigma \leq 16.11σ≤16.11 if n=20, s=22.41\mathrm { n } = 20 , \mathrm {~s} = 22.41n=20, s=22.41 , and α=0.01\alpha = 0.01α=0.01 . Assume that the population is normally distributed.

Provide an appropriate response. -The mean age of lawyers in New York is 52.1 years. Write the existing state and alternative hypotheses.

State Conclusions to Hypothesis Tests -The mean monthly gasoline bill for one household is greater than $140\$ 140$140 . If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Test Hypotheses about a Population Mean with Known Using Confidence Intervals -When testing H0:μ=μ0\mathrm { H } _ { 0 } : \mu = \mu _ { 0 }H0​:μ=μ0​ , using confidence intervals, if μ\muμ is not contained in the confidence interval then we would

Data Collection

Creating Tables and Drawing Pictures of Data

Numerically Summarizing Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model and Multiple Regression

Nonparametric Statistics

Filters

Explain the Logic of Hypothesis Testing -Suppose you want to test the claim that $\mu < 65.4$ . Given a sample size of $\mathrm { n } = 35$ and a level of significance of $\alpha = 0.10$ , when should you reject $\mathrm { H } _ { 0 }$ ?

Test Hypotheses about a Population Proportion -Test the claim that $\sigma \leq 16.11$ if $\mathrm { n } = 20 , \mathrm {~s} = 22.41$ , and $\alpha = 0.01$ . Assume that the population is normally distributed.

State Conclusions to Hypothesis Tests -The mean monthly gasoline bill for one household is greater than $\$ 140$ . If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Test Hypotheses about a Population Mean with Known Using Confidence Intervals -When testing $\mathrm { H } _ { 0 } : \mu = \mu _ { 0 }$ , using confidence intervals, if $\mu$ is not contained in the confidence interval then we would