A large restaurant chain is curious what proportion of their customers in a given day are new customers. They are thinking of taking a sample of either n = 50 or nº= 100 customers and building a one-sample z interval for

a proportion using the data from the sample.

It is a false statement

The correct statement is -The margin of error from the smaller sample will be  times the margin of error from the larger sample.

Step-by-step explanation:

P.S - The exact question is -

Given - A large restaurant chain is curious what proportion of their

            customers in a given day are new customers. They  are thinking  

            of taking a sample of either n = 50 or nº= 100 customers and

            building a one-sample z interval for  a proportion using the data

            from the sample.

To find - The margin of error from the smaller sample will be 2 times

               the margin of error from the larger sample.

Proof -

We know that

E ∝

For smaller margin, E₁ =

For larger margin , E₂ =

Now,

⇒E₁ = E₂

⇒The margin of error from the smaller sample will be  times the margin of error from the larger sample.

So,

It is a false statement.

mathpapa

step-by-step explanation: