Choose the correct Set-builder form for the following set written in Roster form: { − 3 , − 2 , − 1 , 0 , 1 }

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The correct Set-builder form of the set that is written in Roster form is {x|x is an integer and -3≤x≤1}.

<h3>What is an integer?</h3>

An integer is a number that can be written without using a fractional component. Integers such as 21, 4, 0, and 2048 are examples.

The correct Set-builder form of the set that is written in Roster form can be written as,

{x|x is an integer and -3≤x≤1}

Hence, The correct Set-builder form of the set that is written in Roster form is {x|x is an integer and -3≤x≤1}.

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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

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Answer:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: