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1 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 called: (a) Null hypothesis (b) Alternative hypothesis (c) Simple hypothesis (d) Composite hypothesis MCQ 13.4 Any statement whose validity is tested on the basis of a sample is called: (a) Null hypothesis (b) Alternative hypothesis (c) Statistical hypothesis (b) Simple hypothesis MCQ 13.5 A quantitative statement about a population is called: (a) Research hypothesis (b) Composite 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 parameter is called: (a) Simple hypothesis (b) Composite hypothesis (c) Statistical hypothesis (d) None of the above MCQ 13.9 The hypothesis µ 10 is a: (a) Simple hypothesis (b) Composite hypothesis (c) Alternative hypothesis (d) Difficult to tell. MCQ If a hypothesis specifies the population distribution is called: (a) Simple hypothesis (b) Composite hypothesis (c) Alternative hypothesis (d) None of the above MCQ A hypothesis may be classified as: (a) Simple (b) Composite (c) Null (d) All of the above MCQ The probability of rejecting the null hypothesis when it is true is called: (a) Level of confidence (b) Level of significance (c) Power of the test (d) Difficult to tell

2 MCQ 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 (b) Critical value (c) Acceptance region (d) Significant region MCQ If the critical region is located equally in both sides of the sampling distribution of test-statistic, the test is called: (a) One tailed (b) Two tailed (c) Right tailed (d) Left tailed MCQ The choice of one-tailed test and two-tailed test depends upon: (a) Null hypothesis (b) Alternative hypothesis (c) None of these (d) Composite hypotheses MCQ Test of hypothesis Ho: µ = 50 against H 1 : µ > 50 leads to: (a) Left-tailed test (b) Right-tailed test (c) Two-tailed test (d) Difficult to tell MCQ Test of hypothesis Ho: µ = 20 against H 1 : µ < 20 leads to: (a) Right one-sided test (b) Left one-sided test (c) Two-sided test (d) All of the above MCQ Testing Ho: µ = 25 against H 1 : µ 20 leads to: (a) Two-tailed test (b) Left-tailed test (c) Right-tailed test (d) Neither (a), (b) and (c) MCQ 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 (d) None of the above MCQ The range of test statistic-z is: (a) 0 to 1 (b) -1 to +1 (c) 0 to (d) - to + MCQ The range of test statistic-t is: (a) 0 to (b) 0 to 1 (c) - to + (d) -1 to +1 MCQ If H o is true and we reject it is called: (a) Type-I error (b) Type-II error (c) Standard error (d) Sampling error MCQ The probability associated with committing type-i error is: (a) β (b) α (c) 1 β (d) 1 α MCQ 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

3 MCQ A passing student is failed by an examiner, it is an example of: (a) Type-I error (b) Type-II error (c) Best decision (d) All of the above MCQ α is also called: (a) Confidence coefficient (b) Power of the test (c) Size of the test (d) Level of significance MCQ α is the probability associated with: (a) Type-I error (b) Type-II error (c) Level of confidence (d) Level of significance MCQ Area of the rejection region depends on: (a) Size of α (b) Size of β (c) Test-statistic (d) Number of values MCQ Size of critical region is known as: (a) β (b) 1 - β (c) Critical value (d) Size of the test MCQ 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) (d) Neither (a) nor (b) MCQ The test statistic is equal to: MCQ Level of significance is also called: (a) Power of the test (b) Size of the test (c) Level of confidence (d) Confidence coefficient MCQ Level of significance α lies between: (a) -1 and +1 (b) 0 and 1 (c) 0 and n (d) - to + MCQ Critical region is also called: (a) Acceptance region (b) Rejection region (c) Confidence region (d) Statistical region MCQ The probability of rejecting H o when it is false is called: (a) Power of the test (b) Size of the test (c) Level of confidence (d) Confidence coefficient MCQ Power of a test is related to: (a) Type-I error (b) Type-II error (c) Both (a) and (b) (d) Neither (a) and (b)

4 MCQ In testing hypothesis α + β is always equal to: (a) One (b) Zero (c) Two (d) Difficult to tell MCQ The significance level is the risk of: (a) Rejecting H o when H o is correct (c) Rejecting H 1 when H 1 is correct (b) Rejecting H o when H 1 is correct (d) Accepting H o when H o is correct. MCQ An example in a two-sided alternative hypothesis is: (a) H 1 : µ < 0 (b) H 1 : µ > 0 (c) H 1 : µ 0 (d) H 1 : µ 0 MCQ If the magnitude of calculated value of t is less than the tabulated value of t and H 1 is two-sided, we should: (a) Reject H o (b) Accept H 1 (c) Not reject H o (d) Difficult to tell MCQ Accepting a null hypothesis H o : (a) Proves that H o is true (b) Proves that H o is false (c) Implies that H o is likely to be true (d) Proves that µ 0 MCQ The chance of rejecting a true hypothesis decreases when sample size is: (a) Decreased (b) Increased (c) Constant (d) Both (a) and (b) MCQ The equality condition always appears in: (a) Null hypothesis (b) Simple hypothesis (c) Alternative hypothesis (d) Both (a) and (b) MCQ Which hypothesis is always in an inequality form? (a) Null hypothesis (b) Alternative hypothesis (c) Simple hypothesis (d) Composite hypothesis MCQ Which of the following is composite hypothesis? (a) µ µ o (b) µ µ o (c) µ = µ o (d) µ µ o MCQ P (Type I error) is equal to: (a) 1 α (b) 1 β (c) α (d) β MCQ P (Type II error) is equal to: (a) α (b) β (c) 1 α (d) 1 β MCQ The power of the test is equal to: (a) α (b) β (c) 1 α (d) 1 β

5 MCQ The degree of confidence is equal to: (a) α (b) β (c) 1 α (d) 1 β MCQ α / 2 is called: (a) One tailed significance level (c) Left tailed significance level (b) Two tailed significance level (d) Right tailed significance level MCQ 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 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 Paired t-test is applicable when the observations in the two samples are: (a) Equal in number (b) Paired (c) Correlation (d) All of the above MCQ 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 The test-statistic has d.f = : (a) n (b) n - 1 (c) n - 2 (d) n 1 + n 2-2 MCQ In an unpaired samples t-test with sample sizes n 1 = 11 and n 2 = 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 In analyzing the results of an experiment involving seven paired samples, tabulated t should be obtained for: (a) 13 degrees of freedom (b) 6 degrees of freedom (c) 12 degrees of freedom (d) 14 degrees of freedom MCQ The mean difference between 16 paired observations is 25 and the standard deviation of differences is 10. The value of statistic-t is: (a) 4 (b) 10 (c) 16 (d) 25 MCQ Statistic-t is defined as deviation of sample mean from population mean µ expressed in terms of: (a) Standard deviation (b) Standard error (c) Coefficient of standard deviation (d) Coefficient of variation

6 MCQ Student s t-distribution has (n-1) d.f. when all the n observations in the sample are: (a) Dependent (b) Independent (c) Maximum (d) Minimum MCQ The number of independent values in a set of values is called: (a) Test-statistic (b) Degree of freedom (c) Level of significance (d) Level of confidence MCQ 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 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 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% (b) Equal to 25% (c) Less than 25 % (d) More than 25 % MCQ If the mean of a particular population is µo, is distributed: (a) As a standard normal variable, if the population 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 If µ 1 and µ 2 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 n 1 + n 2-2 degrees of freedom MCQ If the population proportion equals p o, 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

7 MCQ When σ is known, the hypothesis about population mean is tested by: (a) t-test (b) Z-test (c) χ 2 -test (d) F-test MCQ Given µ o = 130, = 150, σ = 25 and n = 4; what test statistics is appropriate? (a) t (b) Z (c) χ 2 (d) F MCQ Given H o : µ = µ o, H 1 : µ µ o, α = 0.05 and we reject H o ; the absolute value of the Z-statistic must have equalled or been beyond what value? (a) 1.96 (b) 1.65 (c) 2.58 (d) 2.33 MCQ If p 1 and p 2 are not identical, then standard error of the difference of proportions (p 1 p 2 ) is: MCQ Under the hypothesis Ho: p 1 = p 2, the formula for the standard error of the difference between proportions (p 1 p 2 ) is:

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