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Rudiy27
3 years ago
13

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0
The answer is 40 because if you do simple division you will get that 800/20 is 40
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A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
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Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of  \pm 5\% with 99 %confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Answer:

The value is  n = 666

Step-by-step explanation:

From the question we are told that

   The  margin of error is  E =  0.05

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

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Here we will assume that the sample proportion of those who support a proposed gun control law to be  \^ p =  0.5 because  from the question they do not have any prior knowledge about the proportion who might support the law

Generally the sample size is mathematically represented as

      n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = 666

 

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