in a hypothesis test conducted at a level of significance of 2%a p-value of 0.01280 was obtained the best interpation of the hypothesis test is
What are your choices?
Null hypothesis would be rejected.
To interpret the hypothesis test with a significance level of 2% and a p-value of 0.01280, follow these steps:
Step 1: Formulate the hypotheses:
- Null Hypothesis (H0): There is no significant difference or effect between the groups being compared.
- Alternative Hypothesis (Ha): There is a significant difference or effect between the groups being compared.
Step 2: Choose the significance level (α):
In this case, the level of significance is 2%, which means that we are willing to accept a 2% chance of making a Type I error (rejecting the null hypothesis when it is true).
Step 3: Calculate the p-value:
The p-value is a measure of the strength of the evidence against the null hypothesis. It is the probability of observing a test statistic as extreme as the one obtained if the null hypothesis is true. In this case, the p-value is calculated to be 0.01280.
Step 4: Compare the p-value to the significance level:
If the p-value is smaller than the significance level (α), we reject the null hypothesis. If the p-value is larger than the significance level, we fail to reject the null hypothesis.
Interpretation:
Since the p-value of 0.01280 is smaller than the significance level of 0.02 (2%), we reject the null hypothesis. This indicates that there is enough evidence to support the alternative hypothesis, suggesting that there is a significant difference or effect between the groups being compared.