Suppose a simple random sample of size n= 1000 is obtained from a population whose size is N = 2,000,000 and whose population proportion with a specified characteristic is p=0.74. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). ClIck here to view the standard normal distribution table (page 2) (a) Describe the sampling distribution of p. O A. Approximately normal, = 0.74 and oa 0.0002 O B. Approximately normal, Ha = 0.74 and o. 0.0139 OC. Approximately normal, uA = 0.74 and o. s 0.0003

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**Transcription for Educational Website**

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**Sampling Distribution Problem**

Suppose a simple random sample of size \( n = 1000 \) is obtained from a population whose size is \( N = 2,000,000 \) and whose population proportion with a specified characteristic is \( p = 0.74 \). Complete parts (a) through (c) below.

[Click here to view the standard normal distribution table (page 1).]   
[Click here to view the standard normal distribution table (page 2).]

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**(a) Describe the sampling distribution of \(\hat{p}\).**

- **Option A**: Approximately normal, \(\mu_{\hat{p}} = 0.74\) and \(\sigma_{\hat{p}} \approx 0.0002\)
  
- **Option B**: Approximately normal, \(\mu_{\hat{p}} = 0.74\) and \(\sigma_{\hat{p}} \approx 0.0139\) 

- **Option C**: Approximately normal, \(\mu_{\hat{p}} = 0.74\) and \(\sigma_{\hat{p}} \approx 0.0003\) 

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Transcribed Image Text:**Transcription for Educational Website** --- **Sampling Distribution Problem** Suppose a simple random sample of size \( n = 1000 \) is obtained from a population whose size is \( N = 2,000,000 \) and whose population proportion with a specified characteristic is \( p = 0.74 \). Complete parts (a) through (c) below. [Click here to view the standard normal distribution table (page 1).] [Click here to view the standard normal distribution table (page 2).] --- **(a) Describe the sampling distribution of \(\hat{p}\).** - **Option A**: Approximately normal, \(\mu_{\hat{p}} = 0.74\) and \(\sigma_{\hat{p}} \approx 0.0002\) - **Option B**: Approximately normal, \(\mu_{\hat{p}} = 0.74\) and \(\sigma_{\hat{p}} \approx 0.0139\) - **Option C**: Approximately normal, \(\mu_{\hat{p}} = 0.74\) and \(\sigma_{\hat{p}} \approx 0.0003\) ---
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