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Chapter 11: Q. 11.117 (page 477)

Body Mass Index. Refer to Exercise 11.111 and find and interpret a 90% confidence interval for the difference between the percentages of adults in the Iwo degree categories who have an above healthy weight.

Short Answer

Expert verified

There is 90%interval for the difference between the proportion is (-0.0064,0.0884)

Step by step solution

01

Given Information

The given values are,

x1=386,n1=750,x2=237,n2=500,p~1=0.515,p~2=0.474

02

Explanation

The formula for zis given by,

z=p~1-p~2p~p1-p~p1n1+1n2

Calculate the value of za2with 90%confidence level is1.645.

The 98%confidence interval is.

p~1-p~2卤zaa2p~11-p~1n1+p~11-p~1n2

=(-0.0064,0.0884)

Therefore, there is 90%interval for the difference between the proportion is (-0.0064,0.0884)

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