Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, Python, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

Easy Hypothesis Testing Questions MCQs 7

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Online MCQs Hypothesis Testing Questions with Answers. The Hypothesis Testing Quiz is important for the preparation of examinations and different statistical job tests in Government/ Semi-Government or Private Organization sectors. These tests are also helpful in getting admission to different colleges and Universities.

Online MCQs about Hypothesis Testing with Answers

1. The alternative hypothesis may be of the form

 
 
 
 

2. For testing of the hypothesis about population proportion, we use

 
 
 
 

3. If the alternative hypothesis is of the form $H_1:\theta < \theta_0$ then the test will be

 
 
 
 

4. If the population standard deviation is not known and the sample size is large ($n\ge 30$) then the test statistic to be used is

 
 
 
 

5. The hypothesis that is tested for the possible purpose of rejection is called

 
 
 
 

6. Hypothesis testing and estimation are major classifications of

 
 
 
 

7. If a false hypothesis is accepted, it is called

 
 
 
 

8. In testing of the hypothesis, the sampling distribution of the test statistics is based on the assumption that

 
 
 
 

9. The null hypothesis ($H_0$) is

 
 
 
 

10. Which of the following is not the composite hypothesis

 
 
 
 

11. The probability of accepting the true null hypothesis is called

 
 
 
 

12. In the t-test, we use

 
 
 
 

13. Which of the following cannot be considered as a hypothesis ($H_0$)

 
 
 
 

14. The critical region is the part of the sampling distribution for which the null hypothesis is

 
 
 
 

15. If the alternative hypothesis is of the form, $H_1: \theta \ne \theta_0$ then the test will be

 
 
 
 

16. The null hypothesis always contains some sign of

 
 
 
 

17. Statistical inference is divided into two major branches as given below

 
 
 
 

18. The probability of rejecting a true null hypothesis is called

 
 
 
 

19. One-sided and two-sided tests are based on

 
 
 
 

20. The ———— of a test is the maximum probability with which we are willing to a risk of Type-I error.

 
 
 
 

Hypothesis Testing Questions MCQs

The goal of hypothesis testing is to assess the evidence against the null hypothesis (a statement about population also called claimed hypothesis). If the evidence is strong enough (based on the sample information), one can reject the null hypothesis and conclude that the alternative hypothesis is more likely to be true. However, it is important to remember that we never truly “prove” the alternative hypothesis; one can only reject the null hypothesis.

Hypothesis Testing Questions MCQs

  • Statistical inference is divided into two major branches as given below
  • The probability of accepting the true null hypothesis is called
  • The probability of rejecting a true null hypothesis is called
  • If a false hypothesis is accepted, it is called
  • Hypothesis testing and estimation are major classifications of
  • The hypothesis that is tested for the possible purpose of rejection is called
  • In testing of the hypothesis, the sampling distribution of the test statistics is based on the assumption that
  • Which of the following cannot be considered as a hypothesis ($H_0$)
  • The alternative hypothesis may be of the form
  • The null hypothesis always contains some sign of
  • Which of the following is not the composite hypothesis
  • The critical region is the part of the sampling distribution for which the null hypothesis is
  • The null hypothesis ($H_0$) is
  • One-sided and two-sided tests are based on
  • If the alternative hypothesis is of the form $H_1:\theta < \theta_0$ then the test will be
  • If the alternative hypothesis is of the form, $H_1: \theta \ne \theta_0$ then the test will be
  • If the population standard deviation is not known and the sample size is large ($n\ge 30$) then the test statistic to be used is
  • In the t-test, we use
  • For testing of the hypothesis about population proportion, we use
  • The ———— of a test is the maximum probability with which we are willing to a risk of Type-I error.
Hypothesis Testing Questions with Answers

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Important Chi-Square Test MCQs with Answers 4

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The post is about the Chi-Square Test MCQS with Answers. The Chi-square test is used to find the association between attributes. Let us start with the Chi-Square Test MCQs with Answers.

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The relationship/ Dependency between the attributes is called association and the measure of degrees of relationship between attributes is called the coefficient of association. The Chi-Square Statistic is used to test the association between the attributes. The Chi-Square Association is defined as

$$\chi^2 = \sum \frac{(of_i – ef_i)^2}{ef_i}\sim \chi^2_{v}$$

where $v$$ denotes the degrees of freedom.

The Chi-Square tests:

  • are appropriate for categorical data, not continuous data (like height or weight).
  • The data needs to be from a random sample and have sufficient sample size for the test to be reliable.
  • The test results in a chi-square statistic and a p-value.

Chi-Square Test MCQs with Answers

  • A characteristic which cannot be measured numerically is called
  • Which of the following is not an example of an attribute
  • The eye colour of students in a girl’s college is an example of
  • Religions of the people of a country is
  • The degree of relationship between two attributes is called
  • In a contingency table with $r$ rows and $c$ columns, the degree of freedom is
  • The $\chi^2$ distribution is
  • If $\chi^2_{calculated}$ is greater than the critical region, then the attributes are
  • In a $3 \times 3$ contingency table, the degrees of freedom is
  • The Spearman’s coefficient of rank correlation always lies between
  • The Yule’s coefficient of association lies between
  • If $(AB) < \frac{(A)(B)}{n}$ then the two attributes $A$ and $B$ are said to be
  • If $(AB) = \frac{(A)(B)}{n}$ the attributes $A$ and $B$ are said to be
  • The coefficient of contingency is measured by
  • If $\chi^2_{calculated} = 0$ then
  • $(\alpha \beta)$ is the frequency of the class of the order
  • If $A$ and $B$ are independent attributes then the coefficient of associate is
  • The value of $\chi^2$ is always
  • In a Chi-Square test of independence, no expected frequencies should be
  • The two attributes are said to be ———–, if for every cell of the contingency table, the observed frequency $O_{ij}$ is equal to the expected frequency $e_{ij}$
Chi-Square Test MCQs with Answers

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Best Probability Questions and Answers 8

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Online MCQs Probability Questions and Answers. The Quiz covers topics of rules of counting, events, and types of events such as mutually exclusive and exhaustive events, sample space, Rules of Probability, etc. Let us start with the MCQs Probability Questions and Answers.

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Probability Questions and Answers

  • In tossing two dice, the probability of obtaining 4 as the sum of the resultant faces is ———-.
  • The probability of a red card out of 52 cards is
  • A single letter is selected at random from the word “STATISTICS” the probability that it is a vowel is ———-.
  • A single letter is selected at random from the word “PROBABILITY”, the probability that it is a vowel is ———.
  • When two dice are rolled, the probability of getting similar faces.
  • $P(A)=0.2$, $P(B)=0.5$. If $A, B$, and $C$ are mutually exclusive events then $P(C)$ is
  • $P(A)=0.7$, $P(B)=0.5$. If $A$ and $B$ are independent then $P(A \cap B)=$?
  • For two independent events $A$ and $B$, if $P(A)=0.12$, $P(B)=0.2$ then $P(A\cap B)=$?
  • If $P(A)=0.3$, $P(B)=0.8$, $P(A\cap B)=0.24$ then the events $A$ and $B$ are
  • If $P(A \cup B)=0.8$, $P(A)=0.4$, $P(A\cap B)=0.3$ then the values of $P(C)$ is
  • The probability of drawing any one spade card is
  • The probability of drawing a white ball from a bag of 6 red, 8 black, 10 green, and 5 white balls is
  • A student solved 160 questions out of 350. The probability of solving the next is
  • If $E$ is an impossible event, then $P(E)$ is
  • If the event contains no number in it, then the probability of such event will be
  • If $P(B)\ne 0$, then the conditional probability $P(A|B)$ is defined a
  • If $A$ and $B$ are two independent events then $P(A)\dot P(B)=$
  • $P(A\cup B)=P(A) + P(B)$, if $A$ and $B$ are
  • If $A$ and $B$ are two non-mutually exclusive events then $P(A\cup B)=$
  • $P(A\cap B)=P(A)\dot P(B)$ then events $A$ and $B$ are
Probability Questions and Answers

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Important MCQs Probability Quiz Answers 7

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Online MCQs Probability Quiz Answers. The Quiz covers topics of rules of counting, events, and types of events such as mutually exclusive and exhaustive events, sample space, Rules of Probability, etc. Let us start with the MCQs Probability Quiz Answers.

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Online MCQs Probability Quiz Answers

  • In how many ways can 6 persons be seated on a sofa set with three seats?
  • The number of ways in which four books can be arranged on a shelf is
  • Number of ways a committee of 3 members can be selected from 5 members
  • $^nC_r=$
  • $^5P_1=$
  • Two events are called collectively exhaustive if $A\cup B=$
  • If $A \cap B=\phi$, then the events $A$ and $B$ are called
  • When a coin is tossed, the sample space is
  • A coin is tossed three times in succession the number of sample points in the sample space is
  • Three coins are tossed together, the sample will consist of ———- sample points.
  • When a die and coin are rolled there are sample points.
  • When a pair of dice is rolled, the sample space consists of
  • Total number of ways when three fair dice are thrown
  • If three cards are drawn from a pack of 52 cards, then sample space is
  • The probability of an event always lies between
  • The probability of an event cannot be
  • The sum of probabilities of all mutually exclusive events of an experiment will be
  • In tossing two perfect coins the probability that at least one head will occur is
  • If a coin is tossed thrice then the probability of three heads is
  • Three coins are tossed, ———- is the probability of getting at least one head.
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