Question 1

The power of a hypothesis test is .96.Which of the following statements is true about this test?

Accepted Answer

A) The probability of a Type II error is .04. 
B) The probability of a Type I error is .04. 
C) The probability of a Type II error is .96. 
D) The probability of a Type I error is .96. 
A) The probability of a Type II error is .04. 
B) The probability of a Type I error is .04. 
C) The probability of a Type II error is .96. 
D) The probability of a Type I error is .96. A

Question 2

Use the following to answer questions :
A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours.A sample of 25 light bulbs manufactured by this company gave a mean life of 1,097 hours and a standard deviation of 133 hours.A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours.The significance level is 5%.Assume the population is normally distributed.
-What is the p-value for this hypothesis test,rounded to four decimal places?

Accepted Answer

0.0289

Question 3

Use the following to answer questions :
In a hypothesis test with hypotheses   and   ,a random sample of size 974 produced a sample proportion of 0.7380.The test is to be made at the 5% significance level.
-What is the critical value of z?

Accepted Answer

A) -2.05 
B) -2.33 
C) -1.96 
D) -1.65 
A) -2.05 
B) -2.33 
C) -1.96 
D) -1.65 D

Question 4

In a two-tailed hypothesis test,the sign in the alternative hypothesis is:

Accepted Answer

A) not equal to   
B) greater than   
C) less than   
D) less than or equal to   
A) not equal to   
B) greater than   
C) less than   
D) less than or equal to

Question 5

Use the following to answer questions :
In a hypothesis test with hypotheses   and   ,a random sample of size 530 produced a sample proportion of 0.2755.The test is to be made at the 2% significance level.
-What is the value of the test statistic,z,rounded to three decimal places?

Accepted Answer

The answer of Use the following to answer questions :
In...

Question 6

Use the following to answer questions :
In a hypothesis test with hypotheses   and   ,a random sample of 16 elements selected from the population produced a mean of 91.9 and a standard deviation of 4.9.The test is to be made at the 2% significance level.Assume the population is normally distributed.
-What are the critical values of t?

Accepted Answer

A) -2.33 and 2.33 
B) -2.602 and 2.602 
C) -2.131 and 2.131 
D) -2.583 and 2.583 
A) -2.33 and 2.33 
B) -2.602 and 2.602 
C) -2.131 and 2.131 
D) -2.583 and 2.583

Question 7

Use the following to answer questions :
A researcher wants to test if the mean price of houses in an area is greater than $145,000.A random sample of 35 houses selected from the area produces a mean price of $149,700.Assume that   $13,100,and that the test is to be made at the 1% significance level.
-What is the critical value of z?

Accepted Answer

A) 1.88 
B) 2.17 
C) 1.96 
D) 2.58 
A) 1.88 
B) 2.17 
C) 1.96 
D) 2.58

Question 8

Use the following to answer questions :
In a hypothesis test with hypotheses   and   ,a random sample of 16 elements selected from the population produced a mean of 91.9 and a standard deviation of 4.9.The test is to be made at the 2% significance level.Assume the population is normally distributed.
-What is the p-value for this hypothesis test,rounded to four decimal places?

Accepted Answer

The answer of Use the following to answer questions :
In...

Question 9

Use the following to answer questions :
The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds.A sample of 41 commercials had a mean life of 26.90 seconds and a standard deviation of 7.88 seconds.The significance level is 5%.
-What are the critical values of t?

Accepted Answer

A) -1.714 and 1.714 
B) -1.684 and 1.684 
C) -2.010 and 2.010 
D) -2.021 and 2.021 
A) -1.714 and 1.714 
B) -1.684 and 1.684 
C) -2.010 and 2.010 
D) -2.021 and 2.021

Question 10

Use the following to answer questions :
In a hypothesis test with hypotheses   and   ,a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4.The test is to be made at the 10% significance level.Assume the population is normally distributed.
-What is the p-value for this hypothesis test,rounded to four decimal places?

Accepted Answer

The answer of Use the following to answer questions :
In...

Question 11

We use the t distribution to perform a hypothesis test about the population mean when:

Accepted Answer

A) the population from which the sample is drawn is approximately normal and the population standard deviation is known 
B) the population from which the sample is drawn is not approximately normal and the population standard deviation is known 
C) the population from which the sample is drawn is approximately normal and the population standard deviation is unknown 
D) the population from which the sample is drawn is not approximately normal and the population standard deviation is unknown 
A) the population from which the sample is drawn is approximately normal and the population standard deviation is known 
B) the population from which the sample is drawn is not approximately normal and the population standard deviation is known 
C) the population from which the sample is drawn is approximately normal and the population standard deviation is unknown 
D) the population from which the sample is drawn is not approximately normal and the population standard deviation is unknown

Question 12

Use the following to answer questions :
In a hypothesis test with hypotheses   and   ,a random sample of size 481 produced a sample proportion of 0.4350.The test is to be made at the 5% significance level.
-Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

Accepted Answer

The answer of Use the following to answer questions :
In...

Question 13

Use the following to answer questions :
The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds.A sample of 41 commercials had a mean life of 26.90 seconds and a standard deviation of 7.88 seconds.The significance level is 5%.
-What is the p-value for this hypothesis test,rounded to four decimal places?

Accepted Answer

The answer of Use the following to answer questions :
The...

Question 14

Use the following to answer questions :
In a hypothesis test with hypotheses   and   ,a random sample of 20 elements selected from the population produced a mean of 67.8 and a standard deviation of 11.9.The significance level is 5%.Assume the population is normally distributed.
-What is the critical value of t?

Accepted Answer

A) -1.645 
B) -1.725 
C) -1.729 
D) -2.093 
A) -1.645 
B) -1.725 
C) -1.729 
D) -2.093

Question 15

Does the data provide evidence to contradict the company's claim about the average lifetime of their light bulbs? (State your answer as "no" or "yes",but don't include the quotation marks.)

Accepted Answer

The answer of Does the data provide evidence to contradict...

Question 16

A study conducted in 2000 found that the mean number of children under 18 per household in a certain community was 1.7.A statistician is trying to determine whether this number has changed in the last 6 years.Which of the following sets of hypotheses is correct for this test?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

A one-tailed hypothesis test contains:

Accepted Answer

A) one rejection region and two nonrejection regions 
B) two rejection regions and one nonrejection region 
C) two rejection regions and two nonrejection regions 
D) one rejection region and one nonrejection region 
A) one rejection region and two nonrejection regions 
B) two rejection regions and one nonrejection region 
C) two rejection regions and two nonrejection regions 
D) one rejection region and one nonrejection region

Question 18

In a one-tailed hypothesis test,a critical point is a point that divides the area under the sampling distribution of a:

Accepted Answer

A) statistic into one rejection region and one nonrejection region 
B) parameter into one rejection region and one nonrejection region 
C) statistic into one rejection region and two nonrejection regions 
D) parameter into two rejection regions and one nonrejection region 
A) statistic into one rejection region and one nonrejection region 
B) parameter into one rejection region and one nonrejection region 
C) statistic into one rejection region and two nonrejection regions 
D) parameter into two rejection regions and one nonrejection region

Question 19

A researcher wants to test if the mean price of houses in an area is greater than $175,000.The null hypothesis for this example will be that the population mean is:

Accepted Answer

A) less than or equal to $175,000 
B) not equal to $175,000 
C) greater than or equal to $175,000 
D) greater than $175,000 
A) less than or equal to $175,000 
B) not equal to $175,000 
C) greater than or equal to $175,000 
D) greater than $175,000

Question 20

Use the following to answer questions :
In a hypothesis test with hypotheses   and   ,a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4.The test is to be made at the 10% significance level.Assume the population is normally distributed.
-What is the critical value of t?

Accepted Answer

A) 1.318 
B) 1.28 
C) -1.319 
D) 1.319 
A) 1.318 
B) 1.28 
C) -1.319 
D) 1.319

The power of a hypothesis test is .96.Which of the following statements is true about this test?

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 974 produced a sample proportion of 0.7380.The test is to be made at the 5% significance level. -What is the critical value of z?

In a two-tailed hypothesis test,the sign in the alternative hypothesis is:

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 530 produced a sample proportion of 0.2755.The test is to be made at the 2% significance level. -What is the value of the test statistic,z,rounded to three decimal places?

We use the t distribution to perform a hypothesis test about the population mean when:

Does the data provide evidence to contradict the company's claim about the average lifetime of their light bulbs? (State your answer as "no" or "yes",but don't include the quotation marks.)

A study conducted in 2000 found that the mean number of children under 18 per household in a certain community was 1.7.A statistician is trying to determine whether this number has changed in the last 6 years.Which of the following sets of hypotheses is correct for this test?

A one-tailed hypothesis test contains:

In a one-tailed hypothesis test,a critical point is a point that divides the area under the sampling distribution of a:

A researcher wants to test if the mean price of houses in an area is greater than $175,000.The null hypothesis for this example will be that the population mean is:

Introduction

Organizing and Graphing Data

Numerical Descriptive Measures

Probability

Discrete Random Variables and Their Probability Distribution

Continuous Random Variables and the Normal Distribution

Sampling Distributions

Estimation of the Mean and Proportion

Estimation and Hypothesis Testing: Two Populations

Chi-Square Tests

Analysis of Variance

Simple Linear Regression

Filters

Exam 9: Hypothesis Tests About the Mean and Proportion

The power of a hypothesis test is .96.Which of the following statements is true about this test?

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 974 produced a sample proportion of 0.7380.The test is to be made at the 5% significance level. -What is the critical value of z?

In a two-tailed hypothesis test,the sign in the alternative hypothesis is:

Use the following to answer questions : In a hypothesis test with hypotheses and ,a random sample of size 530 produced a sample proportion of 0.2755.The test is to be made at the 2% significance level. -What is the value of the test statistic,z,rounded to three decimal places?

We use the t distribution to perform a hypothesis test about the population mean when:

Does the data provide evidence to contradict the company's claim about the average lifetime of their light bulbs? (State your answer as "no" or "yes",but don't include the quotation marks.)

A study conducted in 2000 found that the mean number of children under 18 per household in a certain community was 1.7.A statistician is trying to determine whether this number has changed in the last 6 years.Which of the following sets of hypotheses is correct for this test?

A one-tailed hypothesis test contains:

In a one-tailed hypothesis test,a critical point is a point that divides the area under the sampling distribution of a:

A researcher wants to test if the mean price of houses in an area is greater than $175,000.The null hypothesis for this example will be that the population mean is:

Introduction

Organizing and Graphing Data

Numerical Descriptive Measures

Probability

Discrete Random Variables and Their Probability Distribution

Continuous Random Variables and the Normal Distribution

Sampling Distributions

Estimation of the Mean and Proportion

Estimation and Hypothesis Testing: Two Populations

Chi-Square Tests

Analysis of Variance

Simple Linear Regression

Filters