Question 1

What is a Type II error?

Accepted Answer

A) Accepting a false null hypothesis 
B) Rejecting a false null hypothesis 
C) Accepting a false alternate hypothesis 
D) Rejecting a false alternate hypothesis 
A) Accepting a false null hypothesis 
B) Rejecting a false null hypothesis 
C) Accepting a false alternate hypothesis 
D) Rejecting a false alternate hypothesis A

Question 2

What is the probability of Type I error often called? ____________

Accepted Answer

Alpha

Question 3

The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.The alternate hypothesis is that the mean is not $20,000.If the level of significance is 0.10,what is the decision rule?

Accepted Answer

A) Do not reject the null hypothesis if computed z lies between -1.65 and +1.65;otherwise,reject it 
B) Do not reject the null hypothesis if computed z is greater than 1.65;otherwise,reject it 
C) Do not reject the null hypothesis if computed z lies between -1.96 and +1.96;otherwise,reject it 
D) Reject the null hypothesis if computed z is below -1.96;otherwise,reject it 
A) Do not reject the null hypothesis if computed z lies between -1.65 and +1.65;otherwise,reject it 
B) Do not reject the null hypothesis if computed z is greater than 1.65;otherwise,reject it 
C) Do not reject the null hypothesis if computed z lies between -1.96 and +1.96;otherwise,reject it 
D) Reject the null hypothesis if computed z is below -1.96;otherwise,reject it A

Question 4

Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is the alternate hypothesis?

Accepted Answer

A)  $\pi$ = 0.36 
B)  $\pi$ = 0.41 
C)  $\pi$ $\neq$0.41 
D) µ $\neq$ 0.41 
A)  $\pi$ = 0.36 
B)  $\pi$ = 0.41 
C)  $\pi$ $\neq$0.41 
D) µ $\neq$ 0.41

Question 5

A test statistic is a value computed from sample information and used to test the null hypothesis.

Accepted Answer

A) True 
 B)False

Question 6

The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.The alternate hypothesis is that the mean is not $20,000.Which of the following is the alternate hypothesis?

Accepted Answer

A)  $\pi$ $\neq$ $20,000 
B) µ$\neq$$20,000 
C) µ < $20,000 
D) µ = $20,000 
E)  $\pi$ = $20,000 
A)  $\pi$ $\neq$ $20,000 
B) µ$\neq$$20,000 
C) µ < $20,000 
D) µ = $20,000 
E)  $\pi$ = $20,000

Question 7

If the alternate hypothesis states that µ does not equal 4,000,what is the rejection region for the hypothesis test?

Accepted Answer

A) Both tails 
B) Lower or left tail 
C) Upper or right tail 
D) Center 
A) Both tails 
B) Lower or left tail 
C) Upper or right tail 
D) Center

Question 8

If the null hypothesis is false and the researchers accept it,what error has been made? ____________

Accepted Answer

The answer of If the null hypothesis is false and...

Question 9

It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.What is the sample proportion?

Accepted Answer

A) 0.10 
B) 0.125 
C) 40 
D) 0.40 
A) 0.10 
B) 0.125 
C) 40 
D) 0.40

Question 10

If a p-value is 0.75,it is very likely that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 11

The number of trials and the population proportion are respectively represented by what symbols?

Accepted Answer

A) p and n 
B)    
C) z and t 
D) n and  $\pi$ 
A) p and n 
B)    
C) z and t 
D) n and  $\pi$

Question 12

To conduct a test of proportions,the assumptions required for the binomial distribution must be met.

Accepted Answer

A) True 
 B)False

Question 13

The sample proportion is defined as:

Accepted Answer

A) n $\pi$ 
B) x/n 
C) n! 
D)  $\pi$ 
A) n $\pi$ 
B) x/n 
C) n! 
D)  $\pi$

Question 14

It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.What is the p-value?

Accepted Answer

A) 0.0250 
B) 0.4525 
C) 0.0475 
D) 0.0500 
A) 0.0250 
B) 0.4525 
C) 0.0475 
D) 0.0500

Question 15

For a two-tailed test with a 0.05 significance level,what is the rejection region when n is large and the population standard deviation is known?

Accepted Answer

A) Between $\pm$1.96 
B) Between $\pm$1.65 
C) Greater than +1.96 and less than -1.96 
D) Greater than +1.65 and less than -1.65 
A) Between $\pm$1.96 
B) Between $\pm$1.65 
C) Greater than +1.96 and less than -1.96 
D) Greater than +1.65 and less than -1.65

Question 16

A nationwide survey of college students was conducted and found that students spend two hours per class hour studying.A professor at your college wants to determine whether the time students spend at your college is significantly different from two hours.A random sample of fifteen statistics students is carried out and the findings indicate an average of 1.75 hours with a standard deviation of 0.24 hours.The t-test is to be conducted at the 5% level of significance.What is H1? ________________________

Accepted Answer

The answer of A nationwide survey of college students was...

Question 17

A manufacturer of stereo equipment introduces new models in the fall.Retail dealers are surveyed immediately after the Christmas selling season regarding their stock on hand of each piece of equipment.It has been discovered that unless 40% of the new equipment ordered by the retailers in the fall had been sold by Christmas,immediate production cutbacks are needed.The manufacturer has found that contacting all of the dealers after Christmas by mail is frustrating as many of them never respond.This year 80 dealers were selected at random and telephoned regarding a new receiver.It was discovered that 38% of those receivers had been sold.Since 38% is less than 40%,does this mean that immediate production cutbacks are needed or can this difference of 2 percentage points be attributed to sampling? Test at the 0.05 level.Computed z = -0.37.

Accepted Answer

A) Cut back production 
B) Do not cut back production 
C) Cannot determine based on information given 
D) None of these 
A) Cut back production 
B) Do not cut back production 
C) Cannot determine based on information given 
D) None of these

Question 18

To conduct a test of hypothesis with a small sample,we need to be able to make an assumption that:

Accepted Answer

A) a larger computed value of t will be needed to reject the null hypothesis. 
B) the region of acceptance will be wider than for large samples. 
C) the confidence interval will be wider than for large samples. 
D) the population is normally distributed. 
A) a larger computed value of t will be needed to reject the null hypothesis. 
B) the region of acceptance will be wider than for large samples. 
C) the confidence interval will be wider than for large samples. 
D) the population is normally distributed.

Question 19

Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is your decision if $\alpha$ = 0.01?

Accepted Answer

A) Fail to reject the null hypothesis and conclude the newscast reaches about 41% of the audience. 
B) Reject the null hypothesis and conclude the newscast does not reach 41% of the audience. 
C) Fail to reject the alternate and conclude the newscast does not reach 41% of the audience. 
D) Reject the alternate and conclude the newscast reaches about 41% of the audience. 
A) Fail to reject the null hypothesis and conclude the newscast reaches about 41% of the audience. 
B) Reject the null hypothesis and conclude the newscast does not reach 41% of the audience. 
C) Fail to reject the alternate and conclude the newscast does not reach 41% of the audience. 
D) Reject the alternate and conclude the newscast reaches about 41% of the audience.

Question 20

Among one hundred people surveyed,sixty-six people or 0.33 preferred the product.What is the 0.33 called? ________________

Accepted Answer

Proportion

What is a Type II error?

What is the probability of Type I error often called? ____________

Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is the alternate hypothesis?

A test statistic is a value computed from sample information and used to test the null hypothesis.

If the alternate hypothesis states that µ does not equal 4,000,what is the rejection region for the hypothesis test?

If the null hypothesis is false and the researchers accept it,what error has been made? ____________

It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.What is the sample proportion?

If a p-value is 0.75,it is very likely that the null hypothesis is true.

The number of trials and the population proportion are respectively represented by what symbols?

To conduct a test of proportions,the assumptions required for the binomial distribution must be met.

The sample proportion is defined as:

It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.What is the p-value?

For a two-tailed test with a 0.05 significance level,what is the rejection region when n is large and the population standard deviation is known?

To conduct a test of hypothesis with a small sample,we need to be able to make an assumption that:

Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is your decision if $\alpha$ = 0.01?

Among one hundred people surveyed,sixty-six people or 0.33 preferred the product.What is the 0.33 called? ________________

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentations

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Filters

Exam 10: One-Sample Tests of Hypothesis

What is a Type II error?

What is the probability of Type I error often called? ____________

Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is the alternate hypothesis?

A test statistic is a value computed from sample information and used to test the null hypothesis.

If the alternate hypothesis states that µ does not equal 4,000,what is the rejection region for the hypothesis test?

If the null hypothesis is false and the researchers accept it,what error has been made? ____________

It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.What is the sample proportion?

If a p-value is 0.75,it is very likely that the null hypothesis is true.

The number of trials and the population proportion are respectively represented by what symbols?

To conduct a test of proportions,the assumptions required for the binomial distribution must be met.

The sample proportion is defined as:

It is claimed that in a bushel of peaches less than ten percent are defective.A sample of 400 peaches is examined and 50 are found to be defective.What is the p-value?

For a two-tailed test with a 0.05 significance level,what is the rejection region when n is large and the population standard deviation is known?

To conduct a test of hypothesis with a small sample,we need to be able to make an assumption that:

Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is your decision if α\alphaα = 0.01?

Among one hundred people surveyed,sixty-six people or 0.33 preferred the product.What is the 0.33 called? ________________

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentations

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Filters

Based on the Nielsen ratings,the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area.In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station.What is your decision if $\alpha$ = 0.01?