MCQ TESTING OF HYPOTHESIS MCQ 13.1 A statement about a population developed for the purpose of testing is called: (a) Hypothesis (b) Hypothesis testing (c) Level of significance (d) Test-statistic MCQ 13.2 Any hypothesis which is tested for the purpose of rejection under the assumption that it is true is called: (a) Null hypothesis (b) Alternative hypothesis (c) Statistical hypothesis (d) Composite hypothesis MCQ 13.3 A statement about the value of a population parameter is cal led: (b) Alternative hypothesis (c) Simple hypothesis (d) Composite hypothesis (a) Null hypothesis MCQ 13.4 Any statement whose validity is tested on the basis of a sample is called: (a) Null Null hypothesis (b) Alternative Alternative hypothesis (c) Statistical hypothesis
(b) Simple hypothesis
MCQ 13.5 A quantitative statement about a population is called: (a) Research hypothesis (b) Composite Composite hypothesis hypothesis (c) Simple hypothesis (d) Statistical hypothesis MCQ 13.6 A statement that is accepted if the sample data provide sufficient evidence that the null hypothesis is false is called: (a) Simple hypothesis (b) Composite hypothesis (c) Statistical hypothesis (d) Alternative hypothesis MCQ 13.7 The alternative hypothesis is also called: (a) Null hypothesis (b) Statistical hypothesis
(c) Research hypothesis
(d) Simple hypothesis
MCQ 13.8 A hypothesis that specifies all the values of p arameter is called: (b) Composite hypothesis (c) Statistical hypothesis (a) Simple hypothesis
(d) None of the above
MCQ 13.9 The hypothesis µ ≤ 10 is a: (a) Simple hypothesis
(d) Difficult to tell.
(b) Composite hypothesis
(c) Alternative hypothesis
MCQ 13.10 If a hypothesis specifies the population distribution is called: (a) Simple hypothesis (b) Composite hypothesis (c) Alternative hypothesis MCQ 13.11 A hypothesis may be classified as: (a) Simple (b) Composite
(c) Null
(d) None of the above
(d) All of the above
MCQ 13.12 The probability of rejecting the null hypothesis h ypothesis when it is true is called: (a) Level of confidence (c) Power of the test (b) Level of significance
(d) Difficult to tell
MCQ 13.13 The dividing point between the region where the null hypothesis is rejected and the region where it is not rejected is said to be: (a) Critical region (c) Acceptance region (d) Significant region (b) Critical value MCQ 13.14 If the critical region is located equally in both side s of the sampling distribution of test-statistic, the test is called: (b) Two tailed (a) One tailed (c) Right tailed (d) Left tailed MCQ 13.15 The choice of one-tailed test and two-tailed test depends upon: (a) Null hypothesis (c) None of these (b) Alternative hypothesis MCQ 13.16 Test of hypothesis Ho: µ = 50 against H1: µ > 50 leads to: (a) Left-tailed test (c) Two-tailed test (b) Right-tailed test
(d) Composite hypotheses
(d) Difficult to tell
MCQ 13.17 Test of hypothesis Ho: µ = 20 against H1: µ < 20 leads to: (a) Right one-sided test (c) Two-sided test (b) Left one-sided test
(d) All of the above
MCQ 13.18 Testing Ho: µ = 25 against H1: µ ≠ 20 leads to: (a) Two-tailed test (b) Left-tailed test (c) Right-tailed test (d) Neither (a), (b) and (c) MCQ 13.19 A rule or formula that provides a basis for testing a null hypothesis is called: (a) Test-statistic (b) Population statistic (c) Both of these MCQ 13.20 The range of test statistic-Z is: (a) 0 to 1 (b) -1 to +1
(c) 0 to ∞
(d) -∞ to +∞
MCQ 13.21 The range of test statistic-t is: (a) 0 to ∞ (b) 0 to 1
(c) -∞ to +∞
(d) -1 to +1
MCQ 13.22 If Ho is true and we reject it is called: (a) Type-I error (b) Type-II error
(c) Standard error
MCQ 13.23 The probability associated with committing type-I error is: (b) α (a) β (c) 1 – β
(d) None of the above
(d) Sampling error
(d) 1 – α
MCQ 13.24 A failing student is passed by an examiner, it is an example of: (a) Type-I error (b) Type-II error (c) Unbiased decision
(d) Difficult to tell
MCQ 13.25 A passing student is failed by an examiner, it is an example of: (b) Type-II error (c) Best decision (d) All of the above (a) Type-I error MCQ 13.26 1 – α is also called: (a) Confidence coefficient
(b) Power of the test
MCQ 13.27 1 – α is the probability associated with: (a) Type-I error (b) Type-II error
(c) Size of the test
(c) Level of confidence
(d) Level of significance
(d) Level of significance
MCQ 13.28 Area of the rejection region depends on: (a) Size of α (b) Size of β (c) Test-statistic
(d) Number of values
MCQ 13.29 Size of critical region is known as: (a) β (b) 1 - β
(d) Size of the test
(c) Critical value
MCQ 13.30 A null hypothesis is rejected if the value of a test statistic lies in the : (a) Rejection region (b) Acceptance region (c) Both (a) and (b) MCQ 13.31 The test statistic is equal to:
MCQ 13.32 Level of significance is also called: (b) Size of the test (c) Level of confidence (a) Power of the test MCQ 13.33 Level of significance α lies between: (b) 0 and 1 (a) -1 and +1
(c) 0 and n
MCQ 13.34 Critical region is also called: (b) Rejection region (a) Acceptance region
(d) Confidence coefficient
(d) -∞ to +∞
(c) Confidence region
MCQ 13.35 The probability of rejecting Ho when it is false is called: (b) Size of the test (c) Level of confidence (a) Power of the test MCQ 13.36 Power of a test is related to: (a) Type-I error (b) Type-II error
(d) Neither (a) nor (b)
(c) Both (a) and (b)
(d) Statistical region
(d) Confidence coefficient
(d) Neither (a) and (b)
MCQ 13.37 In testing hypothesis α + β is always equal to: (a) One (b) Zero (c) Two MCQ 13.38 The significance level is the risk of: (a) Rejecting Ho when Ho is correct (c) Rejecting H1 when H1 is correct
(d) Difficult to tell
(b) Rejecting Ho when H1 is correct (d) Accepting Ho when Ho is correct.
MCQ 13.39 An example in a two-sided alternative hypothesis is: (a) H1: µ < 0 (b) H1: µ > 0 (c) H1: µ ≥ 0
(d) H1: µ ≠ 0
MCQ 13.40 If the magnitude of calculated value of t is less than the tabulated value of t and H1 is two-sided, we should: (a) Reject Ho (b) Accept H1 (d) Difficult to tell (c) Not reject Ho MCQ 13.41 Accepting a null hypothesis Ho: (a) Proves that Ho is true (c) Implies that Ho is likely to be true
(b) Proves that Ho is false (d) Proves that µ ≤ 0
MCQ 13.42 The chance of rejecting a true hypothesis decreases when sample size is: (a) Decreased (c) Constant (b) Increased
(d) Both (a) and (b)
MCQ 13.43 The equality condition always appears in: (a) Null hypothesis (b) Simple hypothesis (c) Alternative hypothesis
(d) Both (a) and (b)
MCQ 13.44 Which hypothesis is always in an inequality form? (a) Null hypothesis (b) Alternative hypothesis
(d) Composite hypothesis
(c) Simple hypothesis
MCQ 13.45 Which of the following is composite hypothesis? (a) µ ≥ µo (b) µ ≤ µo (c) µ = µo
(d) µ ≠ µo
MCQ 13.46 P (Type I error) is equal to: (a) 1 – α (b) 1 – β
(c) α
MCQ 13.47 P (Type II error) is equal to: (a) α (b) β
(c) 1 – α
(d) 1 – β
MCQ 13.48 The power of the test is equal to: (a) α (b) β
(c) 1 – α
(d) 1 – β
(d) β
MCQ 13.49 The degree of confidence is equal to: (a) α (b) β
(c) 1 – α
MCQ 13.50 α / 2 is called: (a) One tailed significance level (c) Left tailed significance level
(b) Two tailed significance level (d) Right tailed significance level
(d) 1 – β
MCQ 13.51 Student’s t-test is applicable only when: (a) n≤30 and σ is known (b) n>30 and σ is unknown (c) n=30 and σ is known (d) All of the above MCQ 13.52 Student’s t-statistic is applicable in case of: (a) Equal number of samples (b) Unequal number of samples (c) Small samples (d) All of the above MCQ 13.53 Paired t-test is applicable when the observations in the two samples are : (d) All of the above (a) Equal in number (b) Paired (c) Correlation MCQ 13.54 The degree of freedom for paired t-test based on n pairs of observations is: (a) 2n - 1 (b) n - 2 (c) 2(n - 1) (d) n - 1 MCQ 13.55
The test-statistic (a) n
(b) n - 1
has d.f = ________ : (c) n - 2
(d) n1 + n2 - 2
MCQ 13.56 In an unpaired samples t-test with sample sizes n 1 11 and n2 11, the value of tabulated t should be obtained for: (a) 10 degrees of freedom (b) 21 degrees of freedom (c) 22 degrees of freedom (d) 20 degrees of freedom =
=
MCQ 13.57 In analyzing the results of an experiment involving seven paired samples, tabulated t should be obtained for: (b) 6 degrees of freedom (a) 13 degrees of freedom (c) 12 degrees of freedom (d) 14 degrees of freedom MCQ 13.58 The mean difference between 16 paired observations is 25 and the standard deviation of differences is 10. The value of statistic-t is: (b) 10 (a) 4 (c) 16 (d) 25
MCQ 13.59 Statistic-t is defined as deviation of sample mean from population mean µ expressed in terms of: (b) Standard error (a) Standard deviation (c) Coefficient of standard deviation (d) Coefficient of variation
MCQ 13.60 Student’s t-distribution has (n-1) d.f. when all the n observations in the sample are: (a) Dependent (c) Maximum (d) Minimum (b) Independent MCQ 13.61 The number of independent values in a set of values is called : (a) Test-statistic (c) Level of significance (d) Level of confidence (b) Degree of freedom MCQ 13.62 The purpose of statistical inference is: (a) To collect sample data and use them to formulate hypotheses about a population (b) To draw conclusion about populations and then collect sample data to support the conclusions (c) To draw conclusions about populations from sample data (d) To draw conclusions about the known value of population parameter MCQ 13.63 Suppose that the null hypothesis is true and it is rejected, is known as: (a) A type-I error, and its probability is β (b) A type-I error, and its probability is α (c) A type-II error, and its probability is α (d) A type-Il error, and its probability is β MCQ 13.64 An advertising agency wants to test the hypothesis that the proportion of adults in Pakistan who read a Sunday Magazine is 25 percent. The null hypothesis is that the proportion reading the Sunday Magazine is: (a) Different from 25% (c) Less than 25 % (d) More than 25 % (b) Equal to 25% MCQ 13.65
If the mean of a particular population is µo,
is distributed:
(a) As a standard normal variable, if the popul ation is non-normal (b) As a standard normal variable, if the sample is large (c) As a standard normal variable, if the population is normal (d) As the t-distribution with v = n - 1 degrees of freedom MCQ 13.66
If µ1 and µ2 are means of two populations,
is distributed:
(a) As a standard normal variable, if both samples are independent and less than 30 (b) As a standard normal variable, if both populations are normal (c) As both (a) and (b) state (d) As the t-distribution with n1 + n2 - 2 degrees of freedom MCQ 13.67
If the population proportion equals po, then
is distributed:
(a) As a standard normal variable, if n > 30 (b) As a Poisson variable (c) As the t-distribution with v= n 1 degrees of freedom (d) As a distribution with v degrees of freedom
MCQ 13.68 When σ is known, the hypothesis about population mean is tested by: 2 (b) Z-test (a) t-test (c) χ -test (d) F-test MCQ 13.69 Given µo = 130, (a) t
= 150, σ = 25 and n = 4; what test statistics is appropriate? 2 (c) χ (d) F (b) Z
MCQ 13.70 Given Ho: µ = µo, H1: µ ≠ µo, α = 0.05 and we reject Ho; the absolute value of the Z-statistic must have equalled or been beyond what value? (c) 2.58 (a) 1.96 (b) 1.65 (d) 2.33 MCQ 13.71 If p1 and p2 are not identical, then standard error of the difference of proportions (p1 – p2) is:
MCQ 13.72 Under the hypothesis Ho: p1 = p2, the formula for the standard error of the difference between proportions (p1 – p2) is:
