The document contains 17 multiple choice questions related to hypothesis testing concepts such as null and alternative hypotheses, Type I and Type II errors, critical values, significance levels, t-tests, z-tests, chi-square tests, and degrees of freedom. The questions cover topics like identifying the hypothesis being tested, defining Type I errors, identifying critical values and significance levels, specifying alternative hypotheses, determining acceptance regions, and calculating degrees of freedom for different statistical tests. The document also provides the answers to each question.

1. MCQs
(Testing of Hypothesis)
NADEEM UDDIN
ASSOCIATE PROFESSOR
OF STATISTICS
https://www.slideshare.net/NadeemUddin17
https://nadeemstats.wordpress.com/listofbooks/

2. 1- The hypothesis which is being tested is called
a. Simple hypothesis b. null hypothesis
c. Alternative hypothesis d. composite hypothesis
2- Type-I error is committed when the null hypothesis is
a. Rejected when it is false. b. Rejected when it is true.
c. Accepted when it is false. d. Accepted when it is true.
3- Type-I I error is committed when the null hypothesis is
a. Rejected when it is false. b. Rejected when it is true.
c. Accepted when it is false. d. Accepted when it is true.
4- If n = 24 and α = 0.05 , then the critical value of ‘t’ for testing the
hypothesis H0 : µ = 38 and H1: µ < 38 is
a. 2.069 b. 1.714 c. -1.714 d. -2.069

3. 5- If we say that α = 0.10 for a particular hypothesis test, we are saying that
a. Ten percent is our minimum standard for acceptable probability.
b. Ten percent is the risk we take of rejecting a hypothesis that is true.
c. Ten percent is the risk we take of accepting a hypothesis that is false.
d. (a) and (b) only.
6- Suppose we wish to test whether a population mean is significantly larger or
smaller than 10. We take a sample and find = 8. What should our alternative
hypothesis?
a. µ < 10 b. µ ≠ 10 c. µ > 10 d. µ ≤ 10
7- For a two-tailed test of hypothesis at α = 0.10, the acceptance region is the
entire region:
a. To the right of the negative critical value.
b. Between the two critical values.
c. Outside of the two critical value.
d. To the left of the positive critical value.

4. 8- When the null hypothesis H0 : µ = 42, the alternative hypothesis can be
a. H1: µ ≥ 42 b. H1: µ < 42 c. H1: µ = 40 d. H1: µ ≠ 40
9- With a lower significance level, the probability of rejecting a null hypothesis that
is actually true:
a. Decreases b. Remain the same c. Increases d. All of these
10- A set of two dependent samples of size 15 was taken and a hypothesis test was
performed. A ‘t’ value with 14 degrees of freedom was used. If the two sets of
samples had been treated as independent, how many degrees of freedom would
have been used?
a. 14 b. 28 c. 29 d. 30
11- What is the major assumption we made when performing one-tailed tests for
difference between means with small samples?
a. Unknown population variances were equal.
b. Sampling fractions were quite small.
c. The samples were chosen using judgmental sampling techniques.
d. None of these.

5. 12- A two-tailed test of a difference between two proportion led to z = 1.85 for its
standardized difference of sample proportions. For which of the following
significance levels would you reject H0 ?
a. α = 0.05 b. α = 0.10 c. α = 0.02 d. (a) and (b), but not(c)
13- If sample 1 has 13 elements with s1 = 17 and sample 2 has 9 elements with
s2=22, then sp is
a. 21 b. 29 c. 19.157 d. None
14- A chi-square value can never be negative:
a. Differences between expected and observed frequencies are squared.
b. The absolute value of the differences is computed.
c. (a) and (b).
d. None of these.
15- Assume that a chi-square test is to be performed on a contingency table with four
rows and four columns. How many degrees of freedom should be used?
a. 16 b. 8 c. 9 d. 6

6. 16- The degree of freedom of a contingency table are:
a. (r-1)(c-1) b. rc-1 c. rc(k-1) d. n-k
17- A two-way table with r rows and c columns is called
a. contingency table b. frequency table
c. simple table d. none
1-b 5-d 9-a 13-c 17-a
2-b 6-b 10-b 14-a
3-c 7-b 11-a 15-c
4-c 8-b 12-b 16-a
Answers