Null hypothesis and alternate hypotheses

  • MHB
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And what is the opposite of this claim? This would be the alternative hypothesis.In summary, the null hypothesis would be that the test scores of seventh-grade students at the middle school have the same variation as the test scores of seventh-grade students at the neighboring school, symbolized as σ = 14.7. The alternative hypothesis would be that the test scores of seventh-grade students at the middle school have less variation than the test scores of seventh-grade students at the neighboring school, symbolized as σ < 14.7.
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rainbow1
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express the null hypothesis and the alternate hypothesis in symbolic form. use the correct symbol for the indicated parameter :

the principal of a middle school claims that test scores of the seventh-grade at her school vary less than the test scores of seventh- graders at the neighboring school, which has a variation described by o(standard deviation ) = 14.7explain your answer
 
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rainbow said:
express the null hypothesis and the alternate hypothesis in symbolic form. use the correct symbol for the indicated parameter :

the principal of a middle school claims that test scores of the seventh-grade at her school vary less than the test scores of seventh- graders at the neighboring school, which has a variation described by o(standard deviation ) = 14.7explain your answer

Hi rainbow,

So with hypothesis testing we usually aim for an argument from contradiction, which means we assume the thing we want to disprove as a starting point. What is the claim that we want to disprove? This would be the null hypothesis.
 

What is a null hypothesis?

A null hypothesis is a statement that assumes there is no relationship or difference between two variables in a population. It is typically denoted as H0 and is used as a starting point for statistical testing.

What is an alternate hypothesis?

An alternate hypothesis, also known as the research hypothesis, is a statement that contradicts the null hypothesis and suggests that there is a relationship or difference between two variables in a population. It is typically denoted as Ha and is what the researcher is trying to prove.

How do you determine which hypothesis to use?

The choice of which hypothesis to use depends on the research question and the available evidence. If there is no prior research or evidence, the null hypothesis is typically used as the default. However, if there is a clear research question or previous evidence, the alternate hypothesis may be used.

What is the significance level in hypothesis testing?

The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. It is typically set at 0.05 or 0.01, which means that there is a 5% or 1% chance of incorrectly rejecting the null hypothesis. This level is chosen by the researcher and is used to determine if the results are statistically significant.

What is the difference between one-tailed and two-tailed tests?

In a one-tailed test, the alternate hypothesis is directional and specifies the direction of the relationship or difference between variables. This type of test is used when there is a clear prediction about the relationship between variables. In a two-tailed test, the alternate hypothesis is non-directional and simply states that there is a relationship or difference between variables. This type of test is used when there is no clear prediction about the relationship between variables.

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