Two Proportions: Videos & Practice Problems

In a survey of $4000$ female adults who regularly engage in physical activity (at least $3$ times per week), $78.5\%$ reported feeling satisfied with their mental health. In a survey of $2500$ female adults who do not engage in regular physical activity, $70.1\%$ reported feeling satisfied with their mental health. At the $\alpha =0.01$ significance level, can you support the claim that there is a difference in the proportion of females who report mental health satisfaction between the two groups?