Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of allowable sampling error is 5% and the estimated population standard deviation is unknown. Q/A6.1. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of allowable sampling error is 5% and the estimated population standard deviation is unknown.

Sagot :

raphealnwobi

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

[tex]E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }[/tex]

[tex]n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2[/tex]

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, [tex]Z_\frac{\alpha }{2}[/tex] is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, [tex]Z_\frac{\alpha }{2}[/tex] = 3. Hence:

[tex]n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900[/tex]

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.