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Question: A survey of 156 people showed that 104 go for a brisk walk daily. Find the 99% confidence interval of the true proportion of people who go for a brisk walk. p p p p Steps to derive 1 The problem is to find 99% confidence interval for the true proportion (p 2 Sample proportion, p ˆ x n 1 0 4 1 5 6 q ˆ p ˆ 3 For 99% confidence interval, z α/2 is 2.58.
4 The 99% confidence interval for the true proportion is:p ˆ z ∝ p ˆ q ˆ n p p ˆ z ∝ p ˆ q ˆ n 5 0.67 -2.58( 0 . 6 7 ) ( 0 . 3 3 ) 1 5 6 p ( 0 . 6 7 ) ( 0 . 3 3 ) 1 5 6 6 0.67 - 0.097 < p 7 0.573 < p 8 57.3% < p 9 So, one can be 99% confident that the true proportion
of people who go for a brisk walk is between 57.3% and 76.7%.Hence the right answer is Option A Click Here To Go Back Find the surface area of the solid shown in the figure... Find the volume of the solid shown in the figure. [Use π = 3.14](Volume = πr2h).. Find the volume of the solid shown in the figure. (Volume = l × w × h).. Find the median of the data set.17, 22, 13, 12, 11, 15, and 9... Find the range of the data set.2, 15, 3, 3, 25, and 17.. The perimeter of one face of a cube is 28 in. What is its surface area?.. Find the mode of the data set.14, 17, 33, 21, 33, 17, 33.. Find the mean test score of a student if his scores in 6 subjects are 90, 96, 73, 94, 75, .. Find the range of the data set. 8, 10, 13, 14, 23, 83, 26.. Find the perimeter of the trapezoid... Brad spun the spinner and recorded the results in the table shown. What is the experimenta.. Find the value of n, if n = 9... If 5n = 25, then find the value of n... Find the square root of 36... 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