1. One question on a recent General Social Survey was, “Would you be willing to pay much higher taxes in order to protect the environment?” Out of 852 U.S. adults who responded, 378 of them answered yes. Does this provide strong evidence that the proportion of all U.S. adults who would respond yes is greater than 0.4? Carefully describe the parameter of interest and then go through the five steps of hypothesis testing (including checking conditions). Round to three decimal places throughout.
2. A random survey of high school seniors was conducted about marijuana use. Of 1120 females surveyed, 465
of them reported using marijuana; of 1156 males surveyed, 515 of them reported using marijuana.
Does this provide strong evidence that the proportion of high school senior males who use marijuana is
different from the proportion of high school senior females who do? Answer this by carefully describing the
parameter of interest and going through the five steps of hypothesis testing (including checking conditions).
Round to three decimal places throughout.