Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor's Bureau of Las Vegas wants to update this percentage. The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size?

The necessary sample size is of 5683.

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 margin of error is:

90% confidence level

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

Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.

This means that

The estimate is to be within 1% of the population proportion. What is the necessary sample size?

A sample size of n is necessary. n is found when . So

Rounding up:

The necessary sample size is of 5683.

step-by-step explanation:

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