social statistics

 
1An error that occurs because of chance is called:
 
mean error
 
probability error
 
sampling error
 
nonsampling error
 
2For a goodness-of-fit test, the frequencies obtained from the performance of an experiment are the:
expected frequencies
objective frequencies
observed frequencies
subjective frequencies
 
3In a hypothesis test, a Type I error occurs when:
a true null hypothesis is rejected
a true null hypothesis is not rejected
a false null hypothesis is rejected
a false null hypothesis is not rejected
 
4Which of the following assumptions is not required to use ANOVA?
 
The populations from which the samples are drawn have the same variance.
 
The samples drawn from different populations are random and independent.
 
All samples are of the same size.
 
The populations from which the samples are drawn are (approximately) normally distributed.
 
5A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The alternative hypothesis for this example will be that the population mean is:
 
not equal to 30 minutes
 
less than or equal to 30 minutes
 
less than 30 minutes
 
equal to 30 minutes
 
 
6The model y = A + Bx is a:
 
nonlinear model
 
deterministic model
 
probabilistic model
 
stochastic model
 
 
7A sample of 16 from a population produced a mean of 86.9 and a standard deviation of 14.3. A sample of 18 from another population produced a mean of 75.4 and a standard deviation of 15.9. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the mean of the first population is greater than the man of the second population. The significance level is 1%.
What is the critical value of t for the hypothesis test?
 
2.441
 
2.733
 
2.449
 
2.738
 
8Two events are independent if the occurrence of one event:
 
means that the second event cannot occur.
 
does not affect the probability of the occurrence of the other event.
 
affects the probability of the occurrence of the other event.
 
means that the second event is certain to occur.
 
9You toss a coin nine times and observe 3 heads and 6 tails. This event is a:
 
simple event
 
multinomial sample point
 
multiple outcome
 
compound event
 
10The p-value is the:
 
smallest significance level at which the null hypothesis can be rejected
 
largest significance level at which the alternative hypothesis can be rejected
 
smallest significance level at which the null hypothesis cannot be rejected
 
largest significance level at which the null hypothesis can be rejected
 
11 A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000. The null hypothesis for this example will be that the population mean is:
 
not equal to $110,000
 
greater than to $110,000
 
less than to $110,000
 
equal to $110,000
 
12 To make tests of hypotheses about more than two population means, we use the:
 
analysis of variance distribution
 
chi-square distribution
 
t distribution
 
normal distribution
 
 
13 In a game of four-handed Hearts, all 52 cards of a standard deck are dealt, so that each player starts each round with 13 cards in a hand. Suppose player A’s hand has three clubs, six diamonds, two hearts, and two spades. What is the relative frequency of spades, rounded to two decimal places, dealt to player A?
 
0.25
 
0.75
 
1.5
 
0.15
 
14 In a one-way ANOVA, we analyze only one:
 
population
 
variable
 
mean
 
Sample
 
15  The regression model y = A + Bx + e is:
 
an exact relationship
 
a nonlinear model
 
a deterministic model
 
a probabilistic model
 
16 In a hypothesis test, a Type II error occurs when:
 
a false null hypothesis is not rejected
 
a false null hypothesis is rejected
 
a true null hypothesis is rejected
 
a true null hypothesis is not rejected
 
17  A qualitative variable is the only type of variable that:
 
can assume an uncountable set of values
 
cannot be graphed
 
can assume numerical values
 
cannot be measured numerically
 
18  A continuous random variable x has a right-skewed distribution with a mean of 80 and a standard deviation of 12. The sampling distribution of the sample mean for a sample of 50 elements taken from this population is:
 
not normal
 
approximately normal
 
skewed to the right
 
skewed to the left
 
 
19  For a one-tailed test, the p-value is:
 
twice the area under the curve between the mean and the observed value of the sample statistic
 
twice the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis
 
the area under the curve between the mean and the observed value of the sample statistic
 
the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis
 
20  A quantitative variable is the only type of variable that can:
 
be graphed
 
have no intermediate values
 
assume numeric values for which arithmetic operations make sense
 
be used to prepare tables
 
 
21  If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the dividend is the:
 
sample proportion
 
sampling distribution
 
sample mean
 
sample distribution
 
22  We can use the analysis of variance procedure to test hypotheses about:
 
two or more population means
 
the proportion of one population
 
two or more population proportions
 
the mean of one population
 
23  Which of the following pairs of events are mutually exclusive?
 
Female and no
 
Female and male
 
Male and yes
 
Female and yes
 
24  The mean of a discrete random variable is the mean of its:
 
probability distribution
 
frequency distribution
 
percentage distribution
 
second and third quartiles
 
25  In a survey regarding job satisfaction, 574 in a sample of 934 female job-holders stated that they are satisfied with their jobs, while 500 in a sample of 755 male job-holders stated that they are satisfied with their jobs. The null hypothesis is that the proportions of all female and male job-holders who are satisfied with their jobs are the same. The alternative hypothesis is that the proportion of female job-holders who are satisfied with their jobs is lower than the proportion of male job-holders stated who are satisfied with their jobs. The significance level is 2.5%.
 
What is the critical value of z for the hypothesis test?
 
-2.05
 
-1.96
 
-2.17
 
-2.33
 
26  For small degrees of freedom, the chi-square distribution is:
 
skewed to the right
 
rectangular
 
skewed to the left
 
Symmetric
27 The mean of a discrete random variable is its:
 
second quartile
 
upper hinge
 
expected value
 
box-and-whisker measure
 
 
28  A linear regression:
 
gives a relationship between two variables that can be described by a line
 
gives a relationship between two variables that cannot be described by a line
 
contains only two variables
 
gives a relationship between three variables that can be described by a line
 
 
29  Two paired or matched samples would imply that:
 
two data values are collected from the same source (elements) for two independent samples
 
data are collected on two variables from the elements of two independent samples
 
data are collected on one variable from the elements of two independent samples
 
two data values are collected from the same source (elements) for two dependent samples
 
30  The alternative hypothesis is a claim about a:
 
parameter, where the claim is assumed to be true until it is declared false
 
parameter, where the claim is assumed to be true if the null hypothesis is declared false
 
statistic, where the claim is assumed to be true if the null hypothesis is declared false
 
 
statistic, where the claim is assumed to be false until it is declared true

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