8 The population proportion of students who use the internet

8. The (population) proportion of students who use the internet as then major resource for a school project in the past year is 0.92. Suppose that you lake a sample of n = 100 students, and record the number of students who used the internet as a major resource for their school project during the past year. Can you use the normal approximation to approximate the distribution of p-hat?

Solution

8)
Points To Pass for normal approximation:
1) Experiment Consistes of a swequencce of n identical Trials
2) Only 2 Outcomes are possible on each trai, Success or Failure
3) Trials are independent & Below conditions should satisfy                  
n*p>5100*0.92> 5 => 92>10
n*(1-p)>5100*0.08> 5 => 92>10, Can use Nomral Approximation
D) YEs, beccause np, n(1-p) both larger than 10
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