Now consider a random sample of 12 adults from a population where we assume 50 %

Question

Now consider a random sample of 12 adults from a population where we assume 50

% of adults meet the criteria for hypertension. Let X represent the number of adults

in the sample that who meet the criteria for hypertension

a. Using EXCEL, complete the entries in the following Probability Mass

Function table.

b. At what number of cases would you start to believe the assumed prevalence

of high blood lead levels hypertension in adults is greater than 50 %?

X

Pr(X=x)

Pr(X < x)

Pr(X > x)

0

1

2

3

4

5

6

7

8

9

10

11

12

Explanation / Answer

Ans:

Binimial distribution with n=12,p=0.5

a)P(x=k)=12Ck*0.5k*(1-0.5)12-k

b)cumulative distribution:

As,P(X<=6)=0.6128>0.5

So,at 6 number of cases we start to believe the assumed prevalence of high blood lead levels hypertension in adults is greater than 50 %

x p(x) 0 0.0002 1 0.0029 2 0.0161 3 0.0537 4 0.1208 5 0.1934 6 0.2256 7 0.1934 8 0.1208 9 0.0537 10 0.0161 11 0.0029 12 0.0002

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