In: Statistics and Probability
1. What should one take into consideration when testing the null hypothesis of the equality of two means using small samples?
2. Explain the concept of p-value ?
1.
To testing the null hypothesis of the equality of two means using small samples we use two sample t test
This test is consist of two type.
Student t test and welch t test.
Student t test assume equal std deviation and welch t test assume std deviation is not equal.
In both case null hypothesis is Two means are same and alternative hypothesis is two means are statistically significant.
2.
In statistics, the p-value is the probability of obtaining results as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct. A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.
P value is nothing but the minimum level of significance.
Simply, p value is the probability that null hypothesis is true.
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