Problem 3 {ll} points; 2 points each}: True or False. If the statement is True, then indicate True. [f the statement is False. then indicate False and carefully explain with no more than three sentences why the statement is false. a) A researcher is interested in administering a survey to gauge attitudes of Catholic Church members regarding the current Pope. A random sample of live Catholic Churches in King County are selected and all church members of those five churches are surveyed. This type of sample is called a stratified sample. b} A student is collecting data on movie preferences for a class project. The student stands outside a neighborhood theater and asks people exiting the theater ifthey would be willing to take a brief survey. The student can get ill people willing to participate over the course ofsix hours. The St] completed surveys are an example ofa simple random sample. c} A study compared a group of men who had heart attacks with a similar group ofcontrols. The proportion of men with male pattern baldness was compared between the two groups. This is an example of an observational study. d} The contingency table shown below is from a Pew Research Center study, published in May 3322. that looked at use of video conferencing services (Zoom. Webea or other] for three levels ofwork from home status. wrk fmm home Use at" 1|video Conferencin _ for Work _ status ---m __m When rounding to one decimal point. the joint percentage of people that sometimes work from home and never use video conferencing for work is 2.3%. Further. among people that sometimes use video conferencing for work1 22.?'3'23 work from home all or most of the time, 313% sometimes work from home and 4tl% rarely or never work from home. e} Looking at the stacked bar charts on the next page1 the variables work from home status and use of video conferencing for work appear to be independent. Note VCWork is use of video conferencing for work. WHome is work from home status.