Unmarried AmericansNearly one-half of Americans aged 25 to

Chapter 7, Problem 19E

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QUESTION:

Problem 19E

Unmarried AmericansNearly one-half of Americans aged 25 to 29 are unmarried. How large a sample is necessary to estimate the true proportion of unmarried Americans in this age group within 2½ percentage points with 90% confidence?

Source: Time magazine. Oct 2006.

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QUESTION:

Problem 19E

Unmarried AmericansNearly one-half of Americans aged 25 to 29 are unmarried. How large a sample is necessary to estimate the true proportion of unmarried Americans in this age group within 2½ percentage points with 90% confidence?

Source: Time magazine. Oct 2006.

ANSWER:

Solution :

Step 1 of 1:

Our goal is :

We need to find how large a sample.

We know that aged 25 to 29 are unmarried.

Here E denotes the age group within percentage.

E =

E =

From the given information we know that confidence

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