16 1/2 to whole number

Mathematics

1 answer:

topjm [15]3 years ago

4 0

1/2 is also the same as .50 so it should be 16.5 or 16.50 they're the same thing

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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

Burka [1]

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

$Z_{\frac{\alpha }{2} } = 2.58$

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