Question 1

Which of the following hypotheses is not a valid null hypothesis?

Accepted Answer

A)  H0: μ ≤ 0 
B)  H0: μ ≥ 0 
C)  H0: μ = 0 
D)  H0: μ < 0 
A)  H0: μ ≤ 0 
B)  H0: μ ≥ 0 
C)  H0: μ = 0 
D)  H0: μ < 0

Question 2

In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is _____.

Accepted Answer

A)  less than or equal to $\alpha$ 
B)  less than or equal to 2$\alpha$ 
C)  greater than or equal to $\alpha$ 
D)  greater than or equal to 2$\alpha$ 
A)  less than or equal to $\alpha$ 
B)  less than or equal to 2$\alpha$ 
C)  greater than or equal to $\alpha$ 
D)  greater than or equal to 2$\alpha$

Question 3

When using Excel to calculate a p-value for an upper-tail hypothesis test, which of the following must be used?

Accepted Answer

A)  RAND 
B)  1 − NORM.S.DIST 
C)  NORM.S.DIST 
D)  Not enough information is given to answer this question. 
A)  RAND 
B)  1 − NORM.S.DIST 
C)  NORM.S.DIST 
D)  Not enough information is given to answer this question.

Question 4

In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that the average price of the rooms in the sample was $112. The population standard deviation is known to be $16. Use a .05 level of significance and determine whether or not the average room price is significantly different from $108.50.

Accepted Answer

H0: ? = 108.50 H_a: ? ? 108.50 z

Question 5

The practice of concluding "do not reject H0" is preferred over "accept H0" when we _____.

Accepted Answer

A)  are conducting a one-tailed test 
B)  are testing the validity of a claim 
C)  have an insufficient sample size 
D)  have not controlled for the Type II error 
A)  are conducting a one-tailed test 
B)  are testing the validity of a claim 
C)  have an insufficient sample size 
D)  have not controlled for the Type II error

Question 6

Two approaches to drawing a conclusion in a hypothesis test are _____.

Accepted Answer

A)  p-value and critical value 
B)  one-tailed and two-tailed 
C)  Type I and Type II 
D)  null and alternative 
A)  p-value and critical value 
B)  one-tailed and two-tailed 
C)  Type I and Type II 
D)  null and alternative

Question 7

The level of significance is symbolized by _____.

Accepted Answer

A)  $\alpha$ 
B)  $\beta$ 
C)  ? 
D)  p 
A)  $\alpha$ 
B)  $\beta$ 
C)  ? 
D)  p

Question 8

In hypothesis testing if the null hypothesis is rejected, _____.

Accepted Answer

A)  no conclusions can be drawn from the test 
B)  the alternative hypothesis must also be rejected 
C)  the data must have been collected incorrectly 
D)  the evidence supports the alternative hypothesis 
A)  no conclusions can be drawn from the test 
B)  the alternative hypothesis must also be rejected 
C)  the data must have been collected incorrectly 
D)  the evidence supports the alternative hypothesis

Question 9

For a two-tailed test with a sample size of 40, the null hypothesis will NOT be rejected at a 5% level of significance if the test statistic is _____.

Accepted Answer

A)  between -1.96 and 1.96, exclusively 
B)  greater than 1.96 
C)  less than 1.645 
D)  greater than -1.645 
A)  between -1.96 and 1.96, exclusively 
B)  greater than 1.96 
C)  less than 1.645 
D)  greater than -1.645

Question 10

From a population of cans of coffee marked "12 ounces," a sample of 25 cans is selected and the contents of each can are weighed. The sample revealed a mean of 11.8 ounces and a standard deviation of 0.5 ounces. Test to see if the mean of the population is at least 12 ounces. (Assume the population is normally distributed.) Use a .05 level of significance.

Accepted Answer

H₀: μ ≥ 12 H_a: μ < 12 t = -2; th

Question 11

The probability of making a Type I error is denoted by _____.

Accepted Answer

A)  α 
B)  β 
C)  1 − α 
D)  1 − β 
A)  α 
B)  β 
C)  1 − α 
D)  1 − β

Question 12

If a hypothesis test has a Type I error probability of .05, that means if the null hypothesis is _____.

Accepted Answer

A)  false, it will not be rejected 5% of the time 
B)  false, it will be rejected 5% of the time 
C)  true, it will not be rejected 5% of the time 
D)  true, it will be rejected 5% of the time 
A)  false, it will not be rejected 5% of the time 
B)  false, it will be rejected 5% of the time 
C)  true, it will not be rejected 5% of the time 
D)  true, it will be rejected 5% of the time

Question 13

An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the sample information reported below, carry out a test of this statement. Use a .05 level of significance. $$\begin{array} { l l } 
\text { sample size } & 400 \
\text { women } & 168 \
\text { men } & 232
\end{array}$$

Accepted Answer

H₀: p = .5 H_a: p ≠ .5 Reject H₀;

Question 14

In tests about a population proportion, p0 represents the _____.

Accepted Answer

A)  hypothesized population proportion 
B)  observed sample proportion 
C)  observed p-value 
D)  probability of $p - \bar { p } = 0$ 
A)  hypothesized population proportion 
B)  observed sample proportion 
C)  observed p-value 
D)  probability of $p - \bar { p } = 0$

Question 15

Which of the following is an improper form of the null and alternative hypotheses?

Accepted Answer

A) $H _ { 0 } : \mu \leq \mu _ { 0 }$ and $H _ { a } : \mu > \mu _ { 0 }$ B) $H _ { 0 } : \mu = \mu _ { 0 }$ and $H _ { a } : \mu \neq \mu _ { 0 }$ C) $H _ { 0 } : \mu < \mu _ { 0 }$ and $H _ { a } : \mu \geq \mu _ { 0 }$ D) $H _ { 0 } : \mu \geq \mu _ { 0 }$ and $H _ { a } : \mu < \mu _ { 0 }$ A) $H _ { 0 } : \mu \leq \mu _ { 0 }$ and $H _ { a } : \mu > \mu _ { 0 }$ B) $H _ { 0 } : \mu = \mu _ { 0 }$ and $H _ { a } : \mu \neq \mu _ { 0 }$ C) $H _ { 0 } : \mu < \mu _ { 0 }$ and $H _ { a } : \mu \geq \mu _ { 0 }$ D) $H _ { 0 } : \mu \geq \mu _ { 0 }$ and $H _ { a } : \mu < \mu _ { 0 }$

Question 16

If a hypothesis is not rejected at a 5% level of significance, it will _____.

Accepted Answer

A)  also not be rejected at the 1% level 
B)  always be rejected at the 1% level 
C)  sometimes be rejected at the 1% level 
D)  Not enough information is given to answer this question. 
A)  also not be rejected at the 1% level 
B)  always be rejected at the 1% level 
C)  sometimes be rejected at the 1% level 
D)  Not enough information is given to answer this question.

Question 17

Read the z statistic from the normal distribution table and circle the correct answer. A one-tailed test (upper tail) at a .123 level of significance; z = _____.

Accepted Answer

A)  1.54 
B)  1.96 
C)  1.645 
D)  1.16 
A)  1.54 
B)  1.96 
C)  1.645 
D)  1.16

Question 18

A soft drink filling machine, when in perfect adjustment, fills bottles with 12 ounces of soft drink. A random sample of 25 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces, with a standard deviation of 0.24 ounce. With a .05 level of significance, test to see if the machine is in perfect adjustment. Assume the distribution of the population is normal.

Accepted Answer

H₀: μ = 12 Ha: μ ≠ 12 t = -2.5;

Question 19

A Type II error is committed when _____.

Accepted Answer

A)  a true alternative hypothesis is mistakenly rejected 
B)  a true null hypothesis is mistakenly rejected 
C)  the sample size has been too small 
D)  not enough information has been available 
A)  a true alternative hypothesis is mistakenly rejected 
B)  a true null hypothesis is mistakenly rejected 
C)  the sample size has been too small 
D)  not enough information has been available

Question 20

In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true, _____.

Accepted Answer

A)  a Type I error has been committed 
B)  a Type II error has been committed 
C)  either a Type I or Type II error has been committed 
D)  the correct decision has been made 
A)  a Type I error has been committed 
B)  a Type II error has been committed 
C)  either a Type I or Type II error has been committed 
D)  the correct decision has been made

Which of the following hypotheses is not a valid null hypothesis?

In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is _____.

When using Excel to calculate a p-value for an upper-tail hypothesis test, which of the following must be used?

The practice of concluding "do not reject H₀" is preferred over "accept H₀" when we _____.

Two approaches to drawing a conclusion in a hypothesis test are _____.

The level of significance is symbolized by _____.

In hypothesis testing if the null hypothesis is rejected, _____.

For a two-tailed test with a sample size of 40, the null hypothesis will NOT be rejected at a 5% level of significance if the test statistic is _____.

The probability of making a Type I error is denoted by _____.

If a hypothesis test has a Type I error probability of .05, that means if the null hypothesis is _____.

An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the sample information reported below, carry out a test of this statement. Use a .05 level of significance. sample size 400 women 168 men 232

In tests about a population proportion, p₀ represents the _____.

Which of the following is an improper form of the null and alternative hypotheses?

If a hypothesis is not rejected at a 5% level of significance, it will _____.

Read the z statistic from the normal distribution table and circle the correct answer. A one-tailed test (upper tail) at a .123 level of significance; z = _____.

A Type II error is committed when _____.

In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true, _____.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence, and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 9: Hypothesis Tests

Which of the following hypotheses is not a valid null hypothesis?

In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is _____.

When using Excel to calculate a p-value for an upper-tail hypothesis test, which of the following must be used?

The practice of concluding "do not reject H0" is preferred over "accept H0" when we _____.

Two approaches to drawing a conclusion in a hypothesis test are _____.

The level of significance is symbolized by _____.

In hypothesis testing if the null hypothesis is rejected, _____.

For a two-tailed test with a sample size of 40, the null hypothesis will NOT be rejected at a 5% level of significance if the test statistic is _____.

The probability of making a Type I error is denoted by _____.

If a hypothesis test has a Type I error probability of .05, that means if the null hypothesis is _____.

An official of a large national union claims that the fraction of women in the union is not significantly different from one-half. Using the sample information reported below, carry out a test of this statement. Use a .05 level of significance. sample size 400 women 168 men 232

In tests about a population proportion, p0 represents the _____.

Which of the following is an improper form of the null and alternative hypotheses?

If a hypothesis is not rejected at a 5% level of significance, it will _____.

Read the z statistic from the normal distribution table and circle the correct answer. A one-tailed test (upper tail) at a .123 level of significance; z = _____.

A Type II error is committed when _____.

In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true, _____.

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence, and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

The practice of concluding "do not reject H₀" is preferred over "accept H₀" when we _____.

In tests about a population proportion, p₀ represents the _____.