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Dear Colleagues Hope You Will Be Fine!!
As many of you called me about how to make the hypothesis for your research so I thought to give you a uniform guidelines pertaining to the hypothesis statement.
I am sure it will help you, just change it according to your study design.
Stating a Hypothesis
A claim about a population parameter is called a Statistical Hypothesis. To test a statistical hypothesis, you should carefully a pair of hypotheses-One that represents the claim and the other, its complement. When one of these hypotheses is false, the other must be true. Of these two hypotheses, the one that contains a statement of equality is the “Null Hypothesis”. The complement of the null hypothesis is the “Alternate Hypothesis” Either hypothesis – the null or the alternate – may represent the original claim.
Definition
Such as <, or, ≠ or >
H0 is read as “H subzero” Or H naught and Ha is read as “H sub a”
To write the null and alternate hypothesis, translate the claim made about the population parameter from a verbal statement to a mathematical statement. Then write its complement. For example if the claim value is k and the population parameter is µ, then some possible pairs of null and alternate hypothesis are as given below
H0; µ ≤ k H0; µ = k H0; µ ≥ k
Ha; µ < k Ha; µ ≠ k Ha; µ > k
Example
Stating the null and alternate hypothesis
Write the claim as a mathematical statement. State the null or alternate hypotheses, and identify which represent the claim. A University Claims that the proportion of its students who graduate in four years is 82 %
Solution
The claim “the proportion……is 82 % can be written as p = 0.82 its complement is p ≠ .82 because p = 0.82 contains the statement of equality, it becomes the null hypothesis. In this case, the null hypothesis represents the claim.
H0; P = 0.82 (Claim)
Ha; P≠ 0.82
in case you need more examples or clarity, do not hesitate to post your prroblem in this relevant section, I will get back with some solution, according to my own poor knowldege.
With Good Wishes
Your CR
As many of you called me about how to make the hypothesis for your research so I thought to give you a uniform guidelines pertaining to the hypothesis statement.
I am sure it will help you, just change it according to your study design.
Stating a Hypothesis
A claim about a population parameter is called a Statistical Hypothesis. To test a statistical hypothesis, you should carefully a pair of hypotheses-One that represents the claim and the other, its complement. When one of these hypotheses is false, the other must be true. Of these two hypotheses, the one that contains a statement of equality is the “Null Hypothesis”. The complement of the null hypothesis is the “Alternate Hypothesis” Either hypothesis – the null or the alternate – may represent the original claim.
Definition
- A null hypothesis H0 is a statistical Hypothesis that contains the statement of equality ,such as≤, or = ,or ≥
- The alternate hypothesis Ha is the complement hypothesis. It is a statement that must be true if H0 is false and it contains a statement of inequality ,
Such as <, or, ≠ or >
H0 is read as “H subzero” Or H naught and Ha is read as “H sub a”
To write the null and alternate hypothesis, translate the claim made about the population parameter from a verbal statement to a mathematical statement. Then write its complement. For example if the claim value is k and the population parameter is µ, then some possible pairs of null and alternate hypothesis are as given below
H0; µ ≤ k H0; µ = k H0; µ ≥ k
Ha; µ < k Ha; µ ≠ k Ha; µ > k
Example
Stating the null and alternate hypothesis
Write the claim as a mathematical statement. State the null or alternate hypotheses, and identify which represent the claim. A University Claims that the proportion of its students who graduate in four years is 82 %
Solution
The claim “the proportion……is 82 % can be written as p = 0.82 its complement is p ≠ .82 because p = 0.82 contains the statement of equality, it becomes the null hypothesis. In this case, the null hypothesis represents the claim.
H0; P = 0.82 (Claim)
Ha; P≠ 0.82
in case you need more examples or clarity, do not hesitate to post your prroblem in this relevant section, I will get back with some solution, according to my own poor knowldege.
With Good Wishes
Your CR
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