Answered

Get the information you need with the help of IDNLearn.com's extensive Q&A platform. Ask any question and receive timely, accurate responses from our dedicated community of experts.

According to Gallup, 58% of US Adults choose to pursue higher education solely to get a good job. Consider taking samples of 900 adults in the United States and calculating the sample proportion who pursue higher education solely to get a good job.
Assuming all conditions are met, fill in the blanks for the following about the sampling distribution for the sample proportion.
The sampling distribution for the sample proportion follows the [ Select ] ["Population Model", "Sample Model", "Random Model", "Normal Model"] . The mean of the sampling distribution is [ Select ] ["0.064", "0.0165", "900", "0.58"] . The standard deviation of the sampling distribution is [ Select ] ["0.58", "0.064", "900", "0.0165"]

Sagot :

MrRoyalidn

Answer:

(a) Normal model

[tex](b)\ Mean = 0.58[/tex]

[tex](c)\ \sigma = 0.0165[/tex]

Step-by-step explanation:

Given

[tex]p = 58\%[/tex]

[tex]n = 900[/tex]

Solving (a): The distribution type

The sample follows a normal model

Solving (b): The mean

This is calculated as:

[tex]Mean = p[/tex]

So, we have:

[tex]Mean = 58\%[/tex]

Express as decimal

[tex]Mean = 0.58[/tex]

Solving (c): The standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\frac{p(1 - p)}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{58\%(1 - 58\%)}{900}}[/tex]

Express as decimals

[tex]\sigma = \sqrt{\frac{0.58(1 - 0.58)}{900}}[/tex]

[tex]\sigma = \sqrt{\frac{0.58 * 0.42}{900}}[/tex]

[tex]\sigma = \sqrt{\frac{0.2436}{900}}[/tex]

[tex]\sigma = \sqrt{0.00027066666}[/tex]

[tex]\sigma = 0.0165[/tex]

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.