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A simulation was run 150 times with a population proportion of 0.70 and a simulated sample size of 50. The simulated sample proportion are shown below. Based on this distribution, what is the probability of obtaining a sample size of 50 with a sample proportion less than 0.60?

A simulation was run 150 times with a population proportion of 070 and a simulated sample size of 50 The simulated sample proportion are shown below Based on th class=

Respuesta :

From the proportionality graph shown in the figure, the number of proportions less than 0.6 is:

[tex]3+4+1+1=9[/tex]

The total number of simulations that were run is 150

Hence the probability of getting a sample proportion less than 0.6 is given by:

[tex]P(p<0.6)=\frac{9}{150}\approx0.06[/tex]

Hence the probability is 0.06 or 6%.

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