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Chapter 7: Q.1.3. (page 437)

About 75%of young adult internet users (ages18-29)watch online video. Suppose that a sample survey contacts an SRS of 1000young adult Internet users and calculates the proportion of p铃�in this sample who watch online video.

Is the sampling distribution ofp铃�approximately normal? check that the normal condition is met.

Short Answer

Expert verified

The sampling distribution of p铃�is approximately normal.

Step by step solution

01

Step-1 Given Information

Given In the question that population proportion (p)=75%=0.75

Sample size(n)=1000

02

Step-2 Explanation

If the following conditions are met, the sampling distribution is considered to be nearly normal:

np鈮�10

n(1鈭�p)鈮�10

here,

localid="1650022398430" np=1000(0.75)=750>10

And,

localid="1650022402264" n(1鈭�p)=1000(1鈭�0.75)=250>10

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Most popular questions from this chapter

Thousands of travelers pass through the airport in Guadalajara, Mexico, each day. Before leaving the airport, each passenger must pass through the Customs inspection area. Customs agents want to be sure that passengers do not bring illegal items into the country. But they do not have time to search every traveler鈥檚 luggage. Instead, they require each person to press a button. Either a red or a green bulb lights up. If the red light shows, the passenger will be searched by Customs agents. A green light means 鈥済o ahead.鈥� Customs agents claim that the proportion of all travelers who will be stopped (red light) is0.30, because the light has probability 0.30of showing red on any push of the button. To test this claim, a concerned citizen watches a random sample of 100travelers push the button. Only 20get a red light.

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