It has been reported that 66% of all teens have a TV set in their bedroom. If a

Question

It has been reported that 66% of all teens have a TV set in their bedroom. If a poll chooses a simple random sample of 1000 teens and asks if they have a TV set in their bedroom, the percent who say “Yes” will vary if the sample is repeated. In fact, the percent “Yes” in many samples of size 1000 will follow a Normal distribution with mean 66% and standard deviation 1.5%.   What percentage of samples of size 1000 will result in 68% or more of teens saying they have a TV set in their bedroom? Choose the answer below that is closest to what you calculate.

E 9.68%

Return to Question 8. What percentage of samples of size 1000 will result in 65% or less of teens saying they have a TV set in their bedroom? Choose the answer below that is closest to what you calculate.

Explanation / Answer

Ans:

1)

z=(0.68-0.66)/0.015=1.3

P(z>1.3)=1-P(z<=1.3)=1-0.9032=0.0968

9.68%

Option E is correct.

2)

z=(0.65-0.66)/0.015=-0.7

P(z<-0.7)=0.2420

24.2%

Option C is correct.

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