Male and female students perform equally well in a numerical aptitude test. This statement indicates a:
null hypothesis
Hypotheses are classified by the kind of claim they make, so the wording of the statement identifies its type.
The statement asserts that male and female students perform equally well, that is, that there is no difference between the two groups. A statement of no difference or no relationship is a null hypothesis. It is written in this negative form deliberately, because statistical tests are designed to test a hypothesis of no difference and either reject it or fail to reject it; the researcher hopes to reject the null and thereby support the alternative.
A research hypothesis is the positive claim the investigator actually expects, typically asserting that some difference or relationship does exist. A directional hypothesis goes further and specifies the direction of that difference - saying, for instance, that male students perform better than female students. The statement here does neither, since it claims equality rather than any difference or direction.
Statistical hypothesis is the broader category to which both null and alternative hypotheses belong, being any hypothesis stated in a form that permits statistical testing. It is therefore too general to be the precise answer; the specific type named by a claim of equality is the null hypothesis.
Hence the statement indicates a null hypothesis.
Given below are two statements :
Statement I : If we accept a hypothesis when it should be rejected, we say type I error has been made.
Statement II : If we reject a hypothesis when it should be accepted, we say type II error has been made.
In the light of the above statements, choose the most appropriate answer from the options given below :
Given below are two statements:
Statement-I The null hypothesis for testing of difference between means is generally stated as Ho: μ₁ ≠ μ₂, where (μ₁) and (μ₂) are the population means of the two populations, respectively.
Statement II: When samples happen to be small samples and population variances are not known but assumed to be equal, Z-test is employed for testing the null hypothesis.
In the light of the above statements, choose the most appropriate answer from the options given below:
At the stage of data analysis, in which quantitative techniques have been used by a researcher, the evidence warrants the rejection of Null Hypothesis (H₀). Which of the following decisions of the researcher will be deemed appropriate?
A researcher fails to reject the null hypothesis (Ho) in his/her research. What implications will it carry for his/her principal research hypothesis?
A hypothesis is:
After identifying the different variables and establishing the logical reasoning in theoretical framework, the next step in the research process is to
Which of the following statements is true in the context of the testing of a hypothesis?
Which one of the following is NOT a type of hypothesis?
Which one of the following possibilities leads to Type I error in hypothesis testing?
Population variance differ from sample variance in which of the following manner:
A. μ ± 3σ is replaced by x̅ + 9σ2
B. μ is replaced by x̅
C. μ2 is replaced by \(\rm \frac{\mu^2}{(n-1) α}\)
D. N is replaced by n - 1
E. N is replaced by n - 1 - α
Choose the correct answer from the options given below:
Which of the following hypotheses was propounded by Harry Hammond Hess in 1962?