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A researcher is interested in the decrease in mean bone fractures in postmenopausal women treated with vitamin and calcium supplementation. Assuming that the population under investigation has a standard deviation of 3 bone fractures, and that the goal margin of error of the estimate is plus or minus 0.4 fractures. How many women should be sampled to attain an estimate with 95% confidence

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JeanaShupp

Answer: 217 women should be sampled to attain an estimate with 95% confidence.

Step-by-step explanation:

Let s be the prior population standard deviation.

Formula to find the sample size: [tex]n=(\dfrac{z^*\times s}{E})^2[/tex], E=Margin of error

Given: s= 3

E= 0.4

Critical zvalue for 95% = 1.96

So, [tex]n=(\dfrac{1.96\times3}{0.4})^2[/tex]

[tex]=216.09\approx217[/tex]

Hence, 217 women should be sampled to attain an estimate with 95% confidence.