Question 1

One-tailed alternatives are phrased in terms of:

Accepted Answer

A)  ? 
B)   
C)  = 
D) 
$\leq \text { or } \geq$ 
A)  ? 
B)   
C)  = 
D) 
$\leq \text { or } \geq$ B

Question 2

A null hypothesis can only be rejected at the 5% significance level if and only if:

Accepted Answer

A)  a 95% confidence interval includes the hypothesized value of the parameter 
B)  a 95% confidence interval does not include the hypothesized value of the parameter 
C)  the null hypothesis is biased 
D)  the null hypotheses includes sampling error 
A)  a 95% confidence interval includes the hypothesized value of the parameter 
B)  a 95% confidence interval does not include the hypothesized value of the parameter 
C)  the null hypothesis is biased 
D)  the null hypotheses includes sampling error B

Question 3

The test statistic in a hypothesis test for a population proportion is

Accepted Answer

A)  t-value calculated from the sample 
B)  z-value calculated from the sample 
C)  F-value calculated from the sample 
D)  the sample proportion 
A)  t-value calculated from the sample 
B)  z-value calculated from the sample 
C)  F-value calculated from the sample 
D)  the sample proportion B

Question 4

An alternative hypothesis can have the signs >,<,or ≠.

Accepted Answer

A) True 
 B)False

Question 5

The chi-square goodness-of-fit test can be used to test for:

Accepted Answer

A)  significance of sample statistics 
B)  difference between population means 
C)  normality 
D)  difference between population variances 
A)  significance of sample statistics 
B)  difference between population means 
C)  normality 
D)  difference between population variances

Question 6

The Lilliefors test is used to test for normality.

Accepted Answer

A) True 
 B)False

Question 7

The significance level $\alpha$ 
also determines the rejection region.

Accepted Answer

A) True 
 B)False

Question 8

In testing the difference between two population means using two independent samples,we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference $X _ { 1 } - X _ { 2 }$ 
if the populations are normal with equal variances.

Accepted Answer

A) True 
 B)False

Question 9

The test statistic employed to test $H _ { 0 } : \sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 } = 1 \text { is } F = s _ { 1 } ^ { 2 } / s _ { 2 } ^ { 2 }$ 
,which is F distributed with $n _ { 1 } - 1 \text { and } n _ { 2 } - 1$ 
degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 10

A null hypothesis can only be rejected at the 10% significance level if and only if:

Accepted Answer

A)  a 90% confidence interval includes the hypothesized value of the parameter 
B)  a 90% confidence interval does not include the hypothesized value of the parameter 
C)  the null hypothesis is biased 
D)  the null hypotheses includes sampling error 
A)  a 90% confidence interval includes the hypothesized value of the parameter 
B)  a 90% confidence interval does not include the hypothesized value of the parameter 
C)  the null hypothesis is biased 
D)  the null hypotheses includes sampling error

Question 11

A p-value is considered "convincing" if it is:

Accepted Answer

A)  less than 0.01 
B)  between 0.01 and 0.05 
C)  between 0.05 and 0.10 
D)  greater than 0.10 
A)  less than 0.01 
B)  between 0.01 and 0.05 
C)  between 0.05 and 0.10 
D)  greater than 0.10

Question 12

A test with a 0.10 significance level has a larger rejection region than a test with a 0.05 significance level.

Accepted Answer

A) True 
 B)False

Question 13

The p-value of a test is the smallest level of significance $a$ 
at which the null hypothesis can be rejected.

Accepted Answer

A) True 
 B)False

Question 14

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

Accepted Answer

A) True 
 B)False

Question 15

A test for independence is applied to a contingency table with 4 rows and 4 columns.The degrees of freedom for this chi-square test must equal 9.

Accepted Answer

A) True 
 B)False

Question 16

The analyst gets to choose the significance level $a$ 
.It is typically chosen to be 0.50,but it is occasionally chosen to be 0.05.

Accepted Answer

A) True 
 B)False

Question 17

The form of the alternative hypothesis can be:

Accepted Answer

A)  one-tailed 
B)  two-tailed 
C)  neither one nor two-tailed 
D)  one or two-tailed 
A)  one-tailed 
B)  two-tailed 
C)  neither one nor two-tailed 
D)  one or two-tailed

Question 18

Of type I and type II error,which is traditionally regarded as more serious?

Accepted Answer

A)  Type I 
B)  Type II 
C)  Type I and Type II are equally serious 
D)  Neither Type I or Type II is serious and both can be avoided 
A)  Type I 
B)  Type II 
C)  Type I and Type II are equally serious 
D)  Neither Type I or Type II is serious and both can be avoided

Question 19

The alternative hypothesis is also known as the:

Accepted Answer

A)  elective hypothesis 
B)  optional hypothesis 
C)  research hypothesis 
D)  null hypothesis 
A)  elective hypothesis 
B)  optional hypothesis 
C)  research hypothesis 
D)  null hypothesis

Question 20

Which of the following values is typically used for $a$
?

Accepted Answer

A)  0.50 
B)  0.40 
C)  0.30 
D)  0.10 
A)  0.50 
B)  0.40 
C)  0.30 
D)  0.10

One-tailed alternatives are phrased in terms of:

A null hypothesis can only be rejected at the 5% significance level if and only if:

The test statistic in a hypothesis test for a population proportion is

An alternative hypothesis can have the signs >,<,or ≠.

The chi-square goodness-of-fit test can be used to test for:

The Lilliefors test is used to test for normality.

The significance level $\alpha$ also determines the rejection region.

In testing the difference between two population means using two independent samples,we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference $X _ { 1 } - X _ { 2 }$ if the populations are normal with equal variances.

The test statistic employed to test $H _ { 0 } : \sigma _ { 1 } ^ { 2 } / \sigma _ { 2 } ^ { 2 } = 1 \text { is } F = s _ { 1 } ^ { 2 } / s _ { 2 } ^ { 2 }$ ,which is F distributed with $n _ { 1 } - 1 \text { and } n _ { 2 } - 1$ degrees of freedom.

A null hypothesis can only be rejected at the 10% significance level if and only if:

A p-value is considered "convincing" if it is:

A test with a 0.10 significance level has a larger rejection region than a test with a 0.05 significance level.

The p-value of a test is the smallest level of significance $a$ at which the null hypothesis can be rejected.

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

A test for independence is applied to a contingency table with 4 rows and 4 columns.The degrees of freedom for this chi-square test must equal 9.

The analyst gets to choose the significance level $a$ .It is typically chosen to be 0.50,but it is occasionally chosen to be 0.05.

The form of the alternative hypothesis can be:

Of type I and type II error,which is traditionally regarded as more serious?

The alternative hypothesis is also known as the:

Which of the following values is typically used for $a$ ?

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, Binomial, Poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Analysis of Variance and Experimental Design

Statistical Process Control

Filters

Exam 9: Hypothesis Testing

One-tailed alternatives are phrased in terms of:

A null hypothesis can only be rejected at the 5% significance level if and only if:

The test statistic in a hypothesis test for a population proportion is

An alternative hypothesis can have the signs >,<,or ≠.

The chi-square goodness-of-fit test can be used to test for:

The Lilliefors test is used to test for normality.

The significance level α\alphaα also determines the rejection region.

In testing the difference between two population means using two independent samples,we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference X1−X2X _ { 1 } - X _ { 2 }X1​−X2​ if the populations are normal with equal variances.

A null hypothesis can only be rejected at the 10% significance level if and only if:

A p-value is considered "convincing" if it is:

A test with a 0.10 significance level has a larger rejection region than a test with a 0.05 significance level.

The p-value of a test is the smallest level of significance aaa at which the null hypothesis can be rejected.

The p-value of a test is the probability of observing a test statistic at least as extreme as the one computed given that the null hypothesis is true.

A test for independence is applied to a contingency table with 4 rows and 4 columns.The degrees of freedom for this chi-square test must equal 9.

The analyst gets to choose the significance level aaa .It is typically chosen to be 0.50,but it is occasionally chosen to be 0.05.

The form of the alternative hypothesis can be:

Of type I and type II error,which is traditionally regarded as more serious?

The alternative hypothesis is also known as the:

Which of the following values is typically used for aaa ?

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, Binomial, Poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Confidence Interval Estimation

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Analysis of Variance and Experimental Design

Statistical Process Control

Filters

The significance level $\alpha$ also determines the rejection region.

In testing the difference between two population means using two independent samples,we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference $X _ { 1 } - X _ { 2 }$ if the populations are normal with equal variances.

The p-value of a test is the smallest level of significance $a$ at which the null hypothesis can be rejected.

The analyst gets to choose the significance level $a$ .It is typically chosen to be 0.50,but it is occasionally chosen to be 0.05.

Which of the following values is typically used for $a$ ?