B myopenmath.com Part 1 of 4 For a binomial experiment with n = 116 and p = 0.24, we will use the normal approximation to the binomial distribution to find P(19 s x s 40). What is the value of np? What is the value of nq? Are the criteria for approximate normality satisfied? 0 Yes, they are satisfied. No, they are not satisfied. Part 2 of 4 After applying a continuity correction for the interval, 19 s x s 40, what is the new interval? Check Part Answer B myopenmath.com Part 1 of 4 For a binomial experiment with n = 105 and p = 0.76, we will use the normal approximation to the binomial distribution to find P(x 2 87). What is the value of np? What is the value of nq? Are the criteria for approximate normality satisfied? 0 Yes, they are satisfied. No, they are not satisfied. Part 2 of 4 After applying a continuity correction for the interval, x 2 87, what is the new interval? x4: Check Part Answer B myopenmath.com Probabilities for sample proportions come from the binomial distribution, and we've learned that, under the right conditions (when np a 10 and nq 2 10), the normal distribution can be used to approximate the binomial. For such computations, we need the mean and standard error (deviation) of all sample proportions from samples of size n. Mean of sample proportions: [1,13 = p. Standard error (deviation) of sample proportions: -_ M 01, ?. Suppose the U5. President has a 43% approval rate, and that you have gathered a sample of 910 voters. From this sample, you observe 428 who say they approve of the job the president is doing in office. What is the sample proportion (round to 3 significant Suppose we need to know the likelihood of getting a sample proportion at least as large as the one observed here. You decide to use a normal approximation to the binomial distribution for this, so you check the criteria. What is the value of np? What is the value of nq? Are the criteria for approximate normality satisfied? 0 Yes, the criteria are met. 0 N0, the W B myopenmath.com For a binomial experiment with n = 116 and p = 0.28, we will use the normal approximation to the binomial distribution to find P(x 5 23). What is the value of np? What is the value of nq? Are the criteria for approximate normality satisfied? 0 Yes, they are satisfied. No, they are not satisfied. Part 2 of 4 After applying a continuity correction for the interval, x s 23, what is the new interval? \"S Check Part Answer myopenmath.com Part 1 of 4 For a politician with a 66% approval rate, what is the probability that, out of a sample of 1047 people, 717 or more of the sample approves of the politician? That is, we want to determine P(x 2 717). Give the values of n, p, and q below. What is the value of np? What is the value of nq? C] Are the criteria for approximate normality satisfied? 0 Yes, they are satisfied. 0 No, they are not satisfied. Check Part