Question

Only 2 of my answers are correct. I know reject is correct but im unsure of the other 3. PLEASE HELP!

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the 10 significance level. right tailed left tailed right tailed two tailed 3.858 test statistic 1.282 critical value reject reject or accept the null Answer 1: right tailed Answer 2:

Answer 1

We want to test

$\dpi{100} \fn_jvn H_{o}:p_{1}\geq p_{1}$ (proportion of men who own cats = proportion of women who own cats )

$\dpi{100} \fn_jvn H_{1}:p_{1}< p_{1}$ ( proportion of men who own cats < proportion of women who own cats )

This corresponds to left tailed test.

Based on the information provided, the significance level is α=0.1, and the critical value for a left-tailed test is Z_c​= −1.28.

For test statistic data not provided.