A university is conducting a survey in order to estimate the results of an upcoming local election. They intend to take a simple random sample of individuals from the population of eligible voters. Each selected individual will be asked whether they will vote for Candidate A, yes or no. The university intends to use the results to create a 95% CI for the population proportion of voters who will vote for Candidate A. They desire the interval to have a half-width of no more than 0.03. How many individuals must they sample?

We must sample at least 1068 individuals.

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 which

z is the zscore that has a pvalue of .

The half-width of the interval is:

95% confidence level

So , z is the value of Z that has a pvalue of , so .

They desire the interval to have a half-width of no more than 0.03. How many individuals must they sample?

We do not know the true proportion, so we use , which is the proportion for which we are going to need the largest sample size.

They must sample at least n individuals, in which N is found when . So

Rounding up

We must sample at least 1068 individuals.

168

step-by-step explanation:

i am pretty sure that the answer is 168

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12