Math Solutions

(See Steps) A survey research company switched some years ago to random digit dialing. They have a contract, to estimate the percentage of people listening

Question: A survey research company switched some years ago to random digit dialing. They have a contract, to estimate the percentage of people listening to Spanish-language radio programs in several Southwestern cities. They are using a sample size of 1,000 in Austin, Texas-which has about 500,000 residents. And they are satisfied with the accuracy of the estimates for Austin.

Dallas has about twice the population of Austin, but similar demographics.

True or false, and explain: to get about the same accuracy in Dallas as in Austin, the company should use a sample size of 2,000.

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