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?
Rejecting the (H₀) and accepting the substantive research hypothesis
To determine the appropriate decision when the null hypothesis (H₀) is rejected during the data analysis stage, it is essential to understand the process and implications of hypothesis testing in research.
Hypothesis Testing Overview:
- The Null Hypothesis (H₀) suggests that there is no effect or relationship between variables in the context of the research.
- The Alternative Hypothesis (H₁) or substantive research hypothesis asserts that there is a significant effect or relationship between the variables.
- Hypothesis testing involves using statistical techniques to analyze data and decide whether to reject the null hypothesis.
Decision Rule: If the evidence provided by the data analysis is sufficient to reject the null hypothesis, it implies that there is statistical support for the alternative hypothesis.
Explaining the Correct Answer:
- The correct decision is to reject the null hypothesis (H₀) and accept the substantive research hypothesis (H₁).
- This decision supports the claim that there is a significant effect or relationship, which is contrary to the null hypothesis.
- The decision is made based on quantitative techniques that show clear evidence against H₀.
Eliminating Other Options:
- Rejecting the (H₀) and also the substantive research hypothesis: This contradicts the logic of hypothesis testing, as rejecting H₀ typically supports the alternative hypothesis.
- Rejecting the (H₀) without taking any decision on the substantive research hypothesis: It is incomplete because rejecting H₀ implies taking a stance on H₁.
- Accepting the (H₀) and rejecting the substantive research hypothesis: This is directly opposite to the decision based on sufficient evidence to reject H₀.
In conclusion, when the null hypothesis is rejected, it is appropriate to accept the substantive research hypothesis, indicating a significant finding in the research.
Similar Questions
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:
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
Male and female students perform equally well in a numerical aptitude test. This statement indicates a:
Which of the following statements is true in the context of the testing of a hypothesis?
Important Questions from 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?
- Which of the following statement is not the characteristics of hypothesis ?
(i) Hypothesis should be capable of testing
(ii) Hypothesis should be consistent with most known facts
(iii) Hypothesis should be unlimited in scope
(iv) Hypothesis should be amenable to testing beyond a reasonable time.
