Question

4. A newspaper claims that the mean age of its current readers (population 1) has dropped 3.6 years over the last 10 years (population 2). A market researcher believes that the newspaper's claim is incorrect and plans to conduct a hypothesis test to provide evidence against the newspaper's claim. State the null and alternative hypothesis for each scenario.

Answer 1

Here in this Question they asked for writing the hypothesis before that we must know what is the hypothesis and null and alternative hypothesis. Tge detailed explanation is given below,

Hypothesis is the tentative statement about the population.

Null hypothesis : The null hypothesis is the hypothesis with no difference. According to professor R.A Fisher null hypothesis is the hypothesis that tested for its possible rejections.

Alternative hypothesis :The alternative hypothesis is opposite of null hypothesis. The alternative hypothesis is Also called as Research hypothesis. Because the researchers claim is supported by this hypothesis.

Now coming back to our example, in our example the Newspaper claims that the mean age of its current readers has dropped 3.6 years over the last 10 year .

Here the market Researchers believes that the newspaper's claim is incorrect. So here according to definition the null hypothesis and research hypothesis is given below,

Hypothesis :

Ho : The mean age of current newspaper readers has dropped 3.6 years. ( Mu < 3.6)

vs

H1 : The mean age of current newspaper readers has not dropped. (Mu >= 3.6)

Here researchers want to prove the claim of newspapers is incorrect then the researchers have to state their hypothesis in alternative hypothesis.

Hope you understood the concept of hypothesis. If you understood then RATE POSITIVE ?. In case of any queries please feel free to ask in comment box.

Thank you.