Question 1

Which of the following z values is least likely to occur by chance?

Accepted Answer

A)  z = +0.50
B)  z = -1.00
C)  z = -1.50
D)  z = +2.00E) B) and C)
F) All of the above

Question 2

If tobs does not fall into a rejection region, then the decision is to.

Accepted Answer

A)  reject the null hypothesis
B)  fail to reject the null hypothesis
C)  accept the alternative hypothesis
D)  decrease the value of alphaE) B) and D)
F) B) and C)

Question 3

Degrees of freedom are represented by the abbreviation.

Accepted Answer

A)  df
B)  fd
C)  def
D)  degfrE) A) and B)
F) None of the above

Question 4

A Type I error occurs if the null hypothesis is when it is.

Accepted Answer

A)  rejected; true
B)  not rejected; true
C)  rejected; false
D)  not rejected; falseE) A) and C)
F) All of the above

Question 5

Which of the following would be an appropriate alternative hypothesis for the one-sample t test of the hypothesis that the mean reaction time of a population of 45 year-old drivers is 0.653 seconds?

Accepted Answer

A)    H1:Xˉ=0.653H _ { 1 } : \bar { X } = 0.653H1​:Xˉ=0.653 
B)    H1:Xˉ≠0.653H _ { 1 } : \bar { X } 
eq 0.653H1​:Xˉ=0.653 
C)    H1:μ=0.653H _ { 1 } : \mu = 0.653H1​:μ=0.653 
D)    H1:μ≠0.653H _ { 1 } : \mu 
eq 0.653H1​:μ=0.653  E) A) and B)
F) A) and C)

Question 6

When H0 is true, expected values of t are distributed symmetrically around a value.

Accepted Answer

A)  of zero
B)  of 1.0
C)  of either +1.0 or -1.0
D)  that varies with degrees of freedomE) A) and C)
F) None of the above

Question 7

The probability of making a Type II error is given by.

Accepted Answer

A)    α\alphaα 
B)    1−α1-\alpha1−α 
C)    β\betaβ 
D)    1−β1 - \beta1−β  E) B) and D)
F) B) and C)

Question 8

Which of the following would be an appropriate null hypothesis for the one-sample t test of the hypothesis that the mean reaction time of a population of 45 year-old drivers is 0.653 seconds?

Accepted Answer

A)    H0:Xˉ=0.653 H_{0}: \bar{X}=0.653 H0​:Xˉ=0.653 
B)    H0:Xˉ≠0.653 H_{0}: \bar{X} 
eq 0.653 H0​:Xˉ=0.653 
C)    H0:μ=0.653 H_{0}: \mu=0.653 H0​:μ=0.653 
D)    H0:μ≠0.653 H_{0}: \mu 
eq 0.653 H0​:μ=0.653  E) A) and D)
F) A) and C)

Question 9

Which of the following could be an appropriate null hypothesis for a statistical test concerning the mean income of 17-year old males?

Accepted Answer

A)    H0:Xˉ=$2617 H_{0}: \bar{X}=\$ 2617 H0​:Xˉ=$2617 
B)    H0:μ=$2617 H_{0}: \mu=\$ 2617 H0​:μ=$2617 
C)    H0:Xˉ≠$2617 H_{0}: \bar{X} 
eq \$ 2617 H0​:Xˉ=$2617 
D)    H0:μ≠$2617 H_{0}: \mu 
eq \$ 2617 H0​:μ=$2617  E) A) and D)
F) B) and C)

Question 10

The degrees of freedom for the one-sample t test are found by.

Accepted Answer

A)  N
B)  N - 1
C)  N + 1
D)  N - 2E) All of the above
F) B) and D)

Question 11

In general, the t distribution is than the normal distribution.

Accepted Answer

A)  more symmetrical
B)  more peaked and less wide
C)  more negatively skewed
D)  flatter and widerE) B) and D)
F) A) and B)

Question 12

One characteristic of the two hypotheses formulated for a statistical test is that the hypotheses must.

Accepted Answer

A)  be statements about the same sample
B)  specify the sample value
C)  be written as a sentence
D)  include all possible values of the parameter in the populationE) B) and C)
F) A) and B)

Question 13

The rejection region represents the values of a test statistic that have a probability alpha if is true.

Accepted Answer

A)  greater than; H0
B)  greater than; H1
C)  equal to or less than; H0
D)  equal to or less than; H1E) A) and B)
F) A) and C)

Question 14

A parametric statistical test involves hypotheses about.

Accepted Answer

A)  sample statistics such as the mean and standard deviation
B)  measures of central tendency such as the mode and median
C)  population values such as the mean and variance
D)  sample measures of central tendency and variabilityE) A) and B)
F) A) and C)

Question 15

The degrees of freedom determine the the sampling distribution of t.

Accepted Answer

A)  mean of
B)  range of values for
C)  variance of
D)  shape ofE) B) and C)
F) A) and B)

Question 16

The statistical symbol α is known as.

Accepted Answer

A)  gamma
B)  delta
C)  beta
D)  alphaE) A) and B)
F) A) and C)

Question 17

If zobs does not fall into a rejection region, then the.

Accepted Answer

A)  alternative hypothesis is accepted
B)  alternative hypothesis is not rejected
C)  null hypothesis is rejected
D)  null hypothesis is not rejectedE) All of the above
F) A) and B)

Question 18

Underlying the use of the one-sample t test is the assumption that the.

Accepted Answer

A)  distribution of scores in the sample is symmetrical
B)  population variance is equal to the sample variance
C)  degrees of freedom are greater than 30
D)  scores in the population are normally distributedE) A) and C)
F) A) and B)

Question 19

Statistical tests require both a(n)  and a(n)  hypothesis.

Accepted Answer

A)  null; alternative
B)  primary; secondary
C)  empirical; theoretical
D)  conceptual; testableE) A) and B)
F) A) and C)

Question 20

A Type I error.

Accepted Answer

A)  is more likely to occur with a smaller significance level
B)  is determined by the value of beta
C)  can occur only when the null hypothesis is true
D)  is more likely to occur than a Type II errorE) B) and C)
F) A) and B)

Exam 8: Is There Really a Difference Introduction to Statistical Hypothesis Testing

Degrees of freedom are represented by the abbreviation.

Correct AnswerverifiedShow Answer

The degrees of freedom for the one-sample t test are found by.

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Which of the following would be an appropriate null hypothesis for the one-sample t test of the hypothesis that the mean reaction time of a population of 45 year-old drivers is 0.653 seconds?

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If zobs does not fall into a rejection region, then the.

Correct AnswerverifiedShow Answer

A Type I error occurs if the null hypothesis is when it is.

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The statistical symbol α is known as.

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If tobs does not fall into a rejection region, then the decision is to.

Correct AnswerverifiedShow Answer

Underlying the use of the one-sample t test is the assumption that the.

Correct AnswerverifiedShow Answer

Statistical tests require both a(n) and a(n) hypothesis.

Correct AnswerverifiedShow Answer

In general, the t distribution is than the normal distribution.

Correct AnswerverifiedShow Answer

A parametric statistical test involves hypotheses about.

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The probability of making a Type II error is given by.

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A Type I error.

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The degrees of freedom determine the the sampling distribution of t.

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Which of the following would be an appropriate alternative hypothesis for the one-sample t test of the hypothesis that the mean reaction time of a population of 45 year-old drivers is 0.653 seconds?

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One characteristic of the two hypotheses formulated for a statistical test is that the hypotheses must.

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The rejection region represents the values of a test statistic that have a probability alpha if is true.

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Which of the following could be an appropriate null hypothesis for a statistical test concerning the mean income of 17-year old males?

Correct AnswerverifiedShow Answer

When H0 is true, expected values of t are distributed symmetrically around a value.

Correct AnswerverifiedShow Answer

Which of the following z values is least likely to occur by chance?

Correct AnswerverifiedShow Answer

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