Can You Tell a Story About Your Parents? "More than 90% of teenagers and young adults can retell family stories when asked, even if they seemed uninterested when the stories were told."¹ The quote refers to a study² in which young adults in the US were asked to recall a story a parent had told them about a time when the parent was young. Of the 260 young adults (around age 18) who were asked, 244 of them were able to recall such a story.

(a) Use StatKey or other technology to find the standard error from a bootstrap distribution, and then use the standard error to find a 95% confidence interval for the proportion of US young adults who can recall a story a parent told them about when the parent was young.

(b) The quote at the start of this exercise claims that the proportion who can recall such a family story is "more than 90%." Given the plausible values of the proportion in the confidence interval from part (a), can we be confident that this claim is correct?