Question 1

Which of the following statements best describes the level of significance?

Accepted Answer

A) The smaller the level of significance, the larger the rejection region, so therefore the tighter the test. 
B) The larger the level of significance, the smaller the rejection region, so therefore the tighter the test. 
C) The smaller the level of significance, the smaller the rejection region, so therefore the tighter the test. 
D) None of these choices are correct 
A) The smaller the level of significance, the larger the rejection region, so therefore the tighter the test. 
B) The larger the level of significance, the smaller the rejection region, so therefore the tighter the test. 
C) The smaller the level of significance, the smaller the rejection region, so therefore the tighter the test. 
D) None of these choices are correct

Question 2

A Type I error is represented by $\beta$ , and is the probability of not rejecting a false null hypothesis.

Accepted Answer

A) True 
 B)False

Question 3

In a two-tail test for the population mean, the null hypothesis will be rejected at the $\alpha$ level of significance if the value of the standardised test statistic Z is such that:

Accepted Answer

A) Z > z   . 
B) Z  z   . 
A) Z > z   . 
B) Z  z   .

Question 4

Reducing the probability of a Type I error, increases the probability of a Type II error.

Accepted Answer

A) True 
 B)False

Question 5

Which of the following statements is (are) not true?

Accepted Answer

A) The probability of making a Type II error increases as the probability of making a Type I error decreases. 
B) The probability of making a Type II error and the level of significance are the same. 
C) The power of the test decreases as the level of significance decreases. 
D) None of the above statements are true. 
A) The probability of making a Type II error increases as the probability of making a Type I error decreases. 
B) The probability of making a Type II error and the level of significance are the same. 
C) The power of the test decreases as the level of significance decreases. 
D) None of the above statements are true.

Question 6

A random sample of 100 families in a large city revealed that on the average these families have been living in their current homes for 35 months. From previous analyses, we know that the population standard deviation is 30 months.
Calculate the p-value.

Accepted Answer

The answer of A random sample of 100 families in...

Question 7

A random sample of 100 families in a large city revealed that on the average these families have been living in their current homes for 35 months. From previous analyses, we know that the population standard deviation is 30 months.
Can we conclude at the 5% significance level that the true mean number of months families in this city have been living in their current homes is at least 30 months?

Accepted Answer

H0: μ = 30
HA: μ > 30
Test sta

Question 8

In a one-tail test, the p-value is found to be equal to 0.032. If the test had been two-tail, the p-value would have been:

Accepted Answer

A) 0.064. 
B) 0.080. 
C) 0.016. 
D) 0.066. 
A) 0.064. 
B) 0.080. 
C) 0.016. 
D) 0.066.

Question 9

A Type I error is represented by $\alpha$ , and is the probability of rejecting a true null hypothesis.

Accepted Answer

A) True 
 B)False

Question 10

In any test, the probability of a Type I error and the probability of a Type II error add up to 1.

Accepted Answer

A) True 
 B)False

Question 11

Suppose you intend to test the claim that a typical high school student in Sydney spends more than $50 a week on mobile phone calls. Which hypotheses are used to test the claim?

Accepted Answer

A) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 50.HA: F1F1F1S1F1F1F10  50. 
A) H0: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 50.HA: F1F1F1S1F1F1F10  50.

Question 12

A Type I error is committed if we make:

Accepted Answer

A) a correct decision when the null hypothesis is false. 
B) correct decision when the null hypothesis is true. 
C) incorrect decision when the null hypothesis is false. 
D) incorrect decision when the null hypothesis is true. 
A) a correct decision when the null hypothesis is false. 
B) correct decision when the null hypothesis is true. 
C) incorrect decision when the null hypothesis is false. 
D) incorrect decision when the null hypothesis is true.

Question 13

The rejection region for testing the hypotheses H0: F1F1F1S1F1F1F10 = 100
HA: F1F1F1S1F1F1F10 F1F1F1S1F1F1F10100
At the 0.05 level of significance is:

Accepted Answer

A) |Z 1.96. C) Z > 1.65. D) Z < 2.33. A) |Z 1.96. C) Z > 1.65. D) Z < 2.33.

Question 14

In a criminal trial, a Type I error is made when an innocent person is convicted.

Accepted Answer

A) True 
 B)False

Question 15

Consider the hypotheses
H0: μ = 950
HA: μ F1F1F1S1F1F1F10 950
Assume that μ = 1000, F1F1F1S1F1F1F10 = 200, n = 25, F1F1F1S1F1F1F10 = 0.10 and F1F1F1S1F1F1F10 = 0.6535. Recalculate F1F1F1S1F1F1F10 if $\alpha$ is lowered from 0.10 to 0.05.

Accepted Answer

F1F1F1S1F1F1F10 = P

Question 16

When testing a value of the population proportion, we must do a z-test.

Accepted Answer

A) True 
 B)False

Question 17

In testing the hypotheses H0: F1F1F1S1F1F1F10 = 75.
HA: F1F1F1S1F1F1F10 < 75,
The p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?

Accepted Answer

A) The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042. 
B) The smallest value of F1F1F1S1F1F1F10 that would lead to the rejection of the null hypothesis is 0.042. 
C) The probability that the population mean is smaller than 75 is 0.042. 
D) None of the above statements is correct. 
A) The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042. 
B) The smallest value of F1F1F1S1F1F1F10 that would lead to the rejection of the null hypothesis is 0.042. 
C) The probability that the population mean is smaller than 75 is 0.042. 
D) None of the above statements is correct.

Question 18

A Type I error is represented by $\alpha$ , and is the probability of incorrectly rejecting a true null hypothesis.

Accepted Answer

A) True 
 B)False

Question 19

The rejection region for testing the hypotheses H0: F1F1F1S1F1F1F10 = 80
HA: F1F1F1S1F1F1F10 < 80
At the 0.10 level of significance is:

Accepted Answer

A) Z > 1.96. B) Z -1.65. D) Z < -1.28. A) Z > 1.96. B) Z -1.65. D) Z < -1.28.

Question 20

The power of a test refers to the probability of rejecting a false null hypothesis.

Accepted Answer

A) True 
 B)False

Which of the following statements best describes the level of significance?

A Type I error is represented by $\beta$ , and is the probability of not rejecting a false null hypothesis.

In a two-tail test for the population mean, the null hypothesis will be rejected at the $\alpha$ level of significance if the value of the standardised test statistic Z is such that:

Reducing the probability of a Type I error, increases the probability of a Type II error.

Which of the following statements is (are) not true?

A random sample of 100 families in a large city revealed that on the average these families have been living in their current homes for 35 months. From previous analyses, we know that the population standard deviation is 30 months. Calculate the p-value.

In a one-tail test, the p-value is found to be equal to 0.032. If the test had been two-tail, the p-value would have been:

A Type I error is represented by $\alpha$ , and is the probability of rejecting a true null hypothesis.

In any test, the probability of a Type I error and the probability of a Type II error add up to 1.

Suppose you intend to test the claim that a typical high school student in Sydney spends more than $50 a week on mobile phone calls. Which hypotheses are used to test the claim?

A Type I error is committed if we make:

The rejection region for testing the hypotheses H0:  = 100 HA:  100 At the 0.05 level of significance is:

In a criminal trial, a Type I error is made when an innocent person is convicted.

Consider the hypotheses H0: μ = 950 HA: μ  950 Assume that μ = 1000,  = 200, n = 25,  = 0.10 and  = 0.6535. Recalculate  if $\alpha$ is lowered from 0.10 to 0.05.

When testing a value of the population proportion, we must do a z-test.

In testing the hypotheses H0:  = 75. HA:  < 75, The p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?

A Type I error is represented by $\alpha$ , and is the probability of incorrectly rejecting a true null hypothesis.

The rejection region for testing the hypotheses H0:  = 80 HA:  < 80 At the 0.10 level of significance is:

The power of a test refers to the probability of rejecting a false null hypothesis.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference and Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Comparing Two Populations

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Time-Series Analysis and Forecasting

Index Numbers

Filters

Exam 12: Hypothesis Testing: Describing a Single Population

Which of the following statements best describes the level of significance?

A Type I error is represented by β\betaβ , and is the probability of not rejecting a false null hypothesis.

In a two-tail test for the population mean, the null hypothesis will be rejected at the α\alphaα level of significance if the value of the standardised test statistic Z is such that:

Reducing the probability of a Type I error, increases the probability of a Type II error.

Which of the following statements is (are) not true?

A random sample of 100 families in a large city revealed that on the average these families have been living in their current homes for 35 months. From previous analyses, we know that the population standard deviation is 30 months. Calculate the p-value.

In a one-tail test, the p-value is found to be equal to 0.032. If the test had been two-tail, the p-value would have been:

A Type I error is represented by α\alphaα , and is the probability of rejecting a true null hypothesis.

In any test, the probability of a Type I error and the probability of a Type II error add up to 1.

Suppose you intend to test the claim that a typical high school student in Sydney spends more than $50 a week on mobile phone calls. Which hypotheses are used to test the claim?

A Type I error is committed if we make:

The rejection region for testing the hypotheses H0:  = 100 HA:  100 At the 0.05 level of significance is:

In a criminal trial, a Type I error is made when an innocent person is convicted.

Consider the hypotheses H0: μ = 950 HA: μ  950 Assume that μ = 1000,  = 200, n = 25,  = 0.10 and  = 0.6535. Recalculate  if α\alphaα is lowered from 0.10 to 0.05.

When testing a value of the population proportion, we must do a z-test.

In testing the hypotheses H0:  = 75. HA:  < 75, The p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?

A Type I error is represented by α\alphaα , and is the probability of incorrectly rejecting a true null hypothesis.

The rejection region for testing the hypotheses H0:  = 80 HA:  < 80 At the 0.10 level of significance is:

The power of a test refers to the probability of rejecting a false null hypothesis.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Graphical Descriptive Techniques Numerical Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference and Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Comparing Two Populations

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Time-Series Analysis and Forecasting

Index Numbers

Filters

A Type I error is represented by $\beta$ , and is the probability of not rejecting a false null hypothesis.

In a two-tail test for the population mean, the null hypothesis will be rejected at the $\alpha$ level of significance if the value of the standardised test statistic Z is such that:

A Type I error is represented by $\alpha$ , and is the probability of rejecting a true null hypothesis.

Consider the hypotheses H0: μ = 950 HA: μ  950 Assume that μ = 1000,  = 200, n = 25,  = 0.10 and  = 0.6535. Recalculate  if $\alpha$ is lowered from 0.10 to 0.05.

A Type I error is represented by $\alpha$ , and is the probability of incorrectly rejecting a true null hypothesis.