Question

Explain hypothesis testing for population variance, how is it different from other hypothesis tests? What is a real life example following the hypothesis testing procedure.

Answer 1

The rejection rule states that, the null hypothesis is rejected if p-value is less than the level of significance and the null hypothesis is not rejected if the p-value is greater than the level of significance.

The p-value associated with out test statistic is smaller than the significance level of the test we have chosen.

The null hypothesis is rejected when the p-value is less than the given level of significance.

The experiment is conducted to test whether there is a relationship between the type of verdict and the type of abuse experienced by the defendant.

State the hypotheses.

Null hypothesis:

There is no relationship between the type of verdict and the type of abuse.

Alternative hypothesis:

There is relationship between the type of verdict and the type of abuse.

From that the given information, the researcher failed to reject the null hypothesis. This implies that there is no relationship between the type of verdict and the type of abuse'

There is no relationship between verdicts and type of abuse.

The test is conducted to determine whether there is a relationship between the type of verdict and the type of abuse. The researcher had failed to reject the null hypothesis. Hence, it can be concluded that no relationship exists between verdicts and type of abuse.

The probability of getting the value of the statistic that is as extreme as the observed statistic considering the null hypothesis is true is called as p-value.

The probability with which a test statistic would occur if the null hypothesis were true

When the null hypothesis is assumed to be true the probability value for which the test statistic would occur as extreme as the observed statistic is termed as p-value.