2x-4=0 on number line

Mathematics

1 answer:

NemiM [27]4 years ago

5 0

Answer:

x=2

Step-by-step explanation:

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3 years ago

In a study to find the proportion of children with asthma in a certain population, we desire a 95% confidence interval with stan

soldier1979 [14.2K]

Answer:

The minimum sample size should be of 381.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Without any prior knowledge of the proportion, what should be our minimum sample size

We dont know the population proportion, so we use $\pi = 0.5$ , which is when the largest sample size is needed. We have to find n for which $M = 0.05$ . So