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22.32 Usage of the Olympic National Park. US. National Parks that contain designated wilderness areas are required by law to develop and maintain a wilderness stewardship plan. The Olympic National Park, containing some of the most biologically diverse wilderness in the United States, had a survey conducted in 2012 to collect information relevant to the development of such a plan. National Park Service sta visited 30 wilderness trailheads in moderate- to high- use areas over a 60-day period and asked visitors as they completed their hike to complete a questionnaire. The 1019 completed questionaires, giving a response rate of 50.4%, provided each subject's opinions on the use and management of wilderness. In particular, there were 694 day users and 325 overnight users in the sample.E a. Why do you think the National Park sta only visited trailheads in moderate- to high-use areas to obtain the sample? b. Assuming that the 1019 subjects represent a random sample of users of the wilderness areas in Olympic National Park, give a 9D% condence interval for the proportion of day users. c. The response rate was 49% for day users and 52% for overnight users. Does this lessen any concerns you might have regarding the effect of nonresp-onse on the interval you obtained in part (b)? Explain briey. {1. Do you think it would be better to refer to the interval in part (b) as a condence interval for the proportion of day users or the proportion of day users on the most popular trails in the park? Explain briey