According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.72. Suppose that a random sample of 100 people is obtained. what is c ? **Transcription for Educational Website:**According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.72. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below.**(b) Explain why the sample proportion, \( \hat{p} \), is a random variable. What is the source of the variability?**- **A.** The sample proportion \( \hat{p} \) is a random variable because the value of \( \hat{p} \) varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction. *(Selected option)*- **B.** The sample proportion \( \hat{p} \) is a random variable because the value of \( \hat{p} \) 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.- **C.** The sample proportion \( \hat{p} \) is a random variable because the value of \( \hat{p} \) varies from sample to sample. The variability is due to the fact that people may not be responding to the question truthfully.- **D.** The sample proportion \( \hat{p} \) is a random variable because the value of \( \hat{p} \) represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction.**(c) Describe the sampling distribution of \( \hat{p} \), 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 \( np(1-p) = \, \_\_ \, \geq 10 \), the distribution of \( \hat{p} \) is **▼** with \( \mu_{\hat{p}} = \, \_\_ \) and \( \sigma_{\hat{p}} = \, \_\_ \).*(Round to three decimal places as needed.)*

Name: According to a study conducted by a statistical organization, the pro
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.72. Suppose that a random sample of 100 people is obtained. what is c ? **Transcription for Ed