Question

in a recently published sociology article about transportation patterns, a sociologist studied whether families rely on their own transportation instead of public transportation. let the mean number of cars owned by a family be μ. if the sociologist wanted to know if families own, on average, more than 3 cars, what are the null and alternative hypotheses?

Answer 1

The null hypothesis is $H_0:\mu=3$ and the alternative hypothesis is $H_1:\mu > 3$

There are two hypothesis considered in a statistical test. They are:

• Null hypothesis ($H_0$)
• Alternative hypothesis ($H_1$)

Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.

Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.

Here the sociologist is carrying out the test on the mean number of cars, $\mu$.

So to check whether the families own more than 3 cars in average,

the null hypothesis will be ,$\bold{H_0:\mu=3}$  

and the alternate hypothesis will be,  $\bold{H_1:\mu > 3}$

So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.

Learn more about null and alternative hypotheses at brainly.com/question/25263462

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