Use the following statistics to answer questions $1-5$ about population parameters. Use a $5\%$ significance level and a two tail test for all problems and specify the statistical hypotheses. SEX $=0$ for males; SEx$=1$ for females.

Men

sample size ave, earnings Variance of earn

Support MMGW

women

$100$

$100$

$56$

$300$

$10010$

$30$

sex

earnings

correlation sex

$1$

coefficient $n=100$ earnings

$1$

$1$

$6[15]$ Do men and women have the same mean earnings?

$7.[7]$ Are earnings and sex independent?

$8.[6]$ Are the average earnings of all men equal to $$60?$

$9.[9]$ Are the proportions of women and of men who support MMGW equal?

$10.[7]$ Are the variances of men's earnings equal to the variances of women's earnings?