i) A researcher who tried to learn statistics with out taking a formal course do

Question

i) A researcher who tried to learn statistics with out taking a formal course does a hypothesis test and gets a p-value of 0.024. He says, “There is a 97.6% chance that the alternative hypothesis is false, so the null hypothesis is true.” What, if anything, is wrong with his/her statement?

ii) You perform a hypothesis test using a sample size of four units, and you do not reject the null hypothesis. Your research colleague says this statistical test provides conclusive evidence against the hypothesis. Do you agree or disagree with his conclusion?

Explanation / Answer

i)

The correct statement is " There is only 0.024 chance to get result like test statistics assuming that null hypothesis is true."

That is statemnt should be "There is a 97.6% chance that the null hypothesis is ture, so we cannot conclude that the null hypothesis is true"

ii)

Disagree. Smaple size is too small to make inference about population.

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