  You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe thepopulation proportion is approximately p :: 0.84. You would like to be 99% confident that your esimate is within 5% ofue population proportion. How large of a sample size is required?Hint: TextbookVideo1

Question help_outlineImage TranscriptioncloseYou want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p :: 0.84. You would like to be 99% confident that your esimate is within 5% of ue population proportion. How large of a sample size is required? Hint: Textbook Video1 fullscreen
Step 1

The given information is as follows:

Given that the population proportion is approximately equal to 0.84.

That is, p = 0.84.

The confidence level is (1–α) = 99%.

From this, the probability value is α = 0.01.

Furthermore, it is given that the estimate of proportion should be within 5% of the true population proportion. That is, the margin of error is E = 0.05.

Step 2

Obtain the critical value for the given situation:

The confidence level is 99%.

The critical value corresponding to the given situation is obtained as z= 2.576 from the calculation given below:

Step 3

Obtain the required sample size:

Here, z = 2.576, p = 0.84, E = 0.05.

The required sample size is obtain...

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