Answer Happy

Step 2 (b) Find a 99% confidence interval for p. Give a brief interpretation of the meaning of the confidence interval you have found. Before constructing the confidence interval using a normal approximation to the binomial distribution, first check that np > 5 and nâ > 5, where n is the number of judges in the sample, 535, p was previously computed to be p = 0.5346, and â = 1 - p. Compute np and nâ, rounding the results to the nearest whole number. np = 535 ✓ 535 (0.5346) = 286.011✔ 286 na = 535✔✔ 535 (1 0.5346) = 248.989✔ 249 Because the criteria np > 5 and nâ> 5 are ✔ E=ZcV Step 3 The formula for the confidence interval p is shown below, where E is the margin of error. p-E< p < p + E The variable E is the margin of error, calculated using the formula below. p(1 - p) n are met, we can ✔ can continue with the confidence interval for p. Submit Skip (you cannot come back) First, find the critical value z for the 99% confidence interval. This critical value is denoted zo.99. The table of confidence interval critical values provides critical values for c% confidence intervals. Identify the critical value corresponding to c = 0.99, or the value of z that has an area of 0.99 to its left. (Round your answer to two decimal places.) 20.99 = 2.32 X