SOLUTION: According to a survey, 44% of hospitals report that their wireless networks have gone down at least once in the last year. A random sample of 100 hospitals is chosen. If 56 hospit

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Question 1036418: According to a survey, 44% of hospitals report that their wireless networks have gone down at least once in the last year. A random sample of 100 hospitals is chosen. If 56 hospitals from the sample reported that their wireless networks have gone down at least once in the last year, would this be an unusual result? Explain.
P= .44 n = 100
np(1-p)=100 (.44)(1-.44)=24.64≥10
Empirical Rule applies.
Mean = µx=np=(100 (.44)=44
Std Dev = σx √np (1-p)= √(100(.44)(.56) )≅24.64
= √24.64=4.96
μ-2σ=44-2(4.96)=34.08
μ+2σ=44+2(4.96)=53.92
No, because the Std. Dev. 34.08 and 53.92 fall within the 2 standard deviation below and above the mean and it is not less than 5%.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
I don't see anything incorrect with your calculations, only with with your criterion for "unusualness". I suggest that you specify a particular level of significance and then compare it with the p-value of your statistic.