Members of the We-Luv-Plants club are interested in comparing the tendency of males vs. females to choose a vegetarian diet. They randomly sampled 75 males and 75 females at their school. The data showed that 23 of the girls were vegetarians whereas only 12 of the boys could stay away from a tasty burger.  Construct and interpret a 95% confidence interval for the difference in the proportions between girls and boys who are vegetarians (you might want to include ALL steps here). Does this confidence interval provide evidence that girls are more likely than boys to choose a vegetarian diet? Explain. To what population(s) do your conclusions in parts a and b apply?

A Gallup poll of 1487 adults showed that 43% of the respondents have Facebook pages.  Construct a 95% confidence interval for the proportion of adults who have a Facebook page.

A newspaper article stated that the US Supreme Court received 812 letters from around the country on the subject of whether to ban cameras from the courtroom. Of these 812 letters, 800 expressed the opinion that cameras should be banned. A statistics student was going to use this sample information to estimate a 95% confidence interval for the true proportion of all American adults feel that cameras should be banned from the courtroom. what is the 95% confidence interval?

CNN is conducting a poll, and wants to produce a 90% confidence interval for the proportion of all New York residents who favor legalizing recreational marijuana. Of the 602 randomly selected New Yorkers surveyed, 394 were in favor of the initiative. a.   With 90% confidence, the proportion of New York residents who favor legalizing recreational marijuana is between  BLANK and BLANK.  b.   Suppose that we survey 602 randomly selected Americans many times, and calculate a confidence interval for each group. About Blank . percent of these confidence intervals will contain the true population proportion of New Yorkers who favor legalizing recreational marijuana, and about BLANK   percent will not contain the true population proportion.