Derk Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, \( x \), for the sample size provided. Lower bound \( =0.529 \), upper bound \( =0.831, n=1500 \) The point estimate of the population proportion is 0.68 . (Round to the nearest thousandth as needed.) The margin of error is (Round to the nearest thousandth as needed.)

step 4: Evaluate the left and right confidence limits. Enter your answer rounded to a nearest natural (whole) number. For example: \( \begin{array}{l}1172.31 \longrightarrow 1172 \\ 1172.01 \longrightarrow 1172 \\ 1172.51 \longrightarrow 1173 \\ 1172.5 \longrightarrow 1173 \\ 1172.65 \longrightarrow 1173 \\ 1179.65 \longrightarrow 1180\end{array} \)

(b) If an output component is only accepted when its length lies in the range between 112.8 mm and 168.0 mm , finc the expected proportion of components that are accepted. i.e. determine the below probability. Enter your answer rounded correct to 4 decimal places \( P(112.8<X<168.0)= \) Number mm

Correct response: 2 (1.5 Mark) Click on Verify to continuel step 2: Using the \( Z \) distribution table, determine the \( Z \) value associated with 0.01 probability. Enter a number with 4 decimal places. Number

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(b) If an output component is only accepted when its length lies in the range between 112.8 mm and 168.0 mm , find the expected proportion of components that are accepted. i.e. determine the below probability. Enter your answer rounded correct to 4 decimal places \( P(112.8<X<168.0)= \) Number mm