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* 8.2.16 Question Help According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.78. Suppose that a random sample of 100 people is obtained Complete parts (a) through (e) below Cick here to view the standard romal disibution table. Image 11. Click here to view the standard Dammal distribution table lage 21 (a) Suppose the random sample of 100 people is asked, "Are you satisfied with the way things are going in your life?" is the response to this question qualitative or quantitative? Explain. A. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. B. The response is qualitative because the responses can be measured numerically and the values added or subtracted, providing meaningful results. C. The response is qualtative because the responses can be classified based on the characteristic of being satisfied or not. OD. The response is quantitative because the responses can be measured numerically and the values added or subtracted, providing meaningful results () Explain why the sample proportion, p. is a random vanable. What is the source of the variability? The sample proportion pis a random variable because the value of p varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction. The sample proportion pis a random variable because the value of represents a random person included in the sample. The vanability is due to the fact that different people feel differently regarding their satisfaction The sample proportion D. The sample proportion is a random variable because the value of p represents a random person included in the sample. The variability is due to the fact that people may not be responding to the question truthfully is a random variable because the value of p varies from sample to sample. The variability is due to the fact that people may not be responding to the question truthfully. (c) Describe the sampling distribution of the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements Since the sample size is no more than 5% of the population size and p1 - p) - 17 160 > 10, the distrbution of pis approximately normal with = 0.780 and (Round to three decimal places as needed.) 0.041 In the sample obtained in part (A), what is the probability that the proportion who are satisfied with the way things are going in the life exceeds 0.81? The probability that proportion who are satisfied with the way things are going in their life exceeds 0.81 is 0.2345 (Round to four decimal places as needed.) (e) Using the destrution from part (c) would it be unusual for a survey of 100 people to reveal that 70 or lewer people in the sample are satisfied with their lives? The probability that 70 or fewer people in the sample are satisfied is 0.0267, which unusual because this probability is less than 5% Question is complete. Tap on the red indicators to see incorrect answers. All parts showing Similar Question

I need help!! PLEASE DONT USE THE STANDARD NORMAL DISTRIBUTION TABLE. Instead use normalcdf or formula as part of your answer.

Thank you

Answer 1

(a) Option C (6) Option (A) (c) Since the sample size is no more than 5% of the population size and np(1-P) = 100*0.78*(1-0.78) = 17.160 > 10, the distribution of pis approrimately normal (using central limit theorem) with mean pg=0.780 and 0.78 * (1 – 0.78) Op = V = 0.041. 100 (e) PP > 0.81)=1-0((0.81 – 0.78)/0.041) = 1-0 (0.7317) = 0.2322 (where, 0(2) = cdf of standard normal distribution) P(P < 0.70) = ((0.70 – 0.78)/0.041) = (-1.9512) =1-0(1.9512) (since 0(-2) =1-0(2)) = 0.0255 which is unusual because this probability is less than 5%.