Mathematics: Natalie is making bags of trail mix for hiking club she sill use 20 ounces of walnuts 10.1 ounces of almonds and 15.4 ounces of cashews this amount makes 25 bags trail mix how many ounces are in each bag

We need a sample of size at least 712.Step-by-step explanation:In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.In whichz is the zscore that has a pvalue of .The margin of error of an interval is:96% confidence level:So , z is the value of Z that has a pvalue of , so . How large a sample is needed if we wish to estimate the proportion of American voters in favor of President Trump...

Natalie is making bags of trail mix for hiking

Ответ:

princessx7543

19.09.2022

Mathematics

We need a sample of size at least 712.

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 of an interval is:

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

96% confidence level:

So $\alpha = 0.04$ , z is the value of Z that has a pvalue of $1 - \frac{0.04}{2} = 0.98$ , so Z = 2.054 .

How large a sample is needed if we wish to estimate the proportion of American voters in favor of President Trump being reelected, we wish this estimate to be with in 0.038 of the true proportion

A sample of at least n, in which n is found when M = 0.038.

We have that $\pi = 0.42$