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Previous 21. 22 23 24 25 28 29 30 29 30Next - Question 26 of 36 (1 point) A random sample of 350 college students were asked if they believed that places could be haunted, and 105 responded yes. Estimate the true proportion of college students who believe in the possibility of haunted places with 95% confidence. According to Time magazine, 37% of Americans believe that places can be haunted. Round intermediate and final answers to three decimal places. Source: Time magazine, Oct. 2006. Time Remainin 40 Min.

Explanation / Answer

Given: n = 350 p^ = 105/350 z for 95% = 1.96

LCL = p^ - z (p^(1-p^)/n) = 105/350 - 1.96 * (105/350 * 245/350 / 350) = 0.2520.

UCL = p^ + z (p^(1-p^)/n) = 105/350 + 1.96 * (105/350 * 245/350 / 350) = 0.3480.

The confidence interval is 0.2520 < p < 0.3480.

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