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Dahasolnce [82]
3 years ago
8

In a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted o

f murder?" The margin of error in the poll was 4%, and the estimate was made with 90% confidence.
How many people were surveyed?

How do you step by step solve this with a TI-84 Calculator? What function can you use?
Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

324

Step-by-step explanation:

given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"

i.e. Sample proportion p=0.74\\q =1-p =0.26\\

Margin of error = 4% = 0.04

Confidence level =90%

Z critical value for 90% = 1.645

Margin of error = 1.645 * std error

Hence std error = \frac{0.04}{1.645} \\=0.0243

Std error is also equal to

\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.74(0.26)}{n} } =0.0243\\\sqrt{n} =18..05\\n = 325.83~324

Sample size should be 324.

The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2

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