Kindly Highlight Answers

PART A

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a random sample of 61 professional actors, it was found that 35 were extroverts. l use SALT {a} Let p represent the proportion of all actors who are extroverts. Find point estimates for p and q. (Round your answer to four decimal pla =: cw: (b) Find a 95% condence interval for p. Find the maximal margin of error. [Round your answer to two decimal places.) Report the bounds from the 95% condence interval for p. (Round your answers to two decimal places.) Give a brief interpretation of the meaning of the condence interval you have found. 0 We are 95% condent that the true proportion of actors who are extroverts falls outside this interval. 0 We are 5% condent that the true proportion of actors who are extroverts Falls above this interval. 0 We are 95% condent that the true proportion of actors who are extroverts falls within this interval. 0 We are 5% condent that the true proportion of actors who are extroverts falls within this interval. (c) Do you think the conditions np > 5 and ng > 5 are satisfied in this problem? Explain why this would be an important consideration. O Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial. O Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal.about what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution? [Enter an exact number as an integer, fraction, or decimal.) Euro Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) In USE SALT H = 16.0; 0 = 3.5 P(10 S x 5 26) =