Question

A study of road rage asked samples of $596$men and $523$women about their behaviour while driving. Based on their answers, each person was assigned a road rage score on a scale of $0$to$20$. The participants were chosen by random digit dialling of telephone numbers. We suspect that men are more prone to road rage than women. To see if this is true, test these hypotheses for the mean road rage scores of all male and female drivers

(a) $H_0:{\mu }_M={\mu }_F$versus$H_0:{\mu }_M>{\mu }_F$

(b) $H_0:{\mu }_M={\mu }_F$versus$H_0:{\mu }_M\ne {\mu }_F$

(c) role="math" localid="1650363760526" $H_0:{\mu }_M={\mu }_F$versus$H_0:{\mu }_M<{\mu }_F$

(d) $H_0:{\overline{x}}_M={\overline{x}}_F$versus$H_0:{\overline{x}}_M>{\overline{x}}_F$

(e)$H_0:{\overline{x}}_M={\overline{x}}_F$versus$H_0:{\overline{x}}_M<{\overline{x}}_F$

Short answer

The answer is option (a)$H_0:{\mu }_M={\mu }_F,H_0:{\mu }_M>{\mu }_F$

Step-by-step solution

Given information

A study of road rage samples

Men is$596$

Women is $523$

It is suspected that men are more prone to road rage than women and see if this is true.

Explanation 

The hypothesis are claims that are made concerning a population parameter (s).

The population mean$\mu$an is the population parameter.

According to the null hypothesis, the two population parameters are equal:

$H_0:{\mu }_M={\mu }_F$

According to the claim, the alternative hypothesis expresses the polar opposite of the null hypothesis. Men are more prone to road rage than women, according to the claim:

$H_0:{\mu }_M>{\mu }_F$, so it is option (a).