Question

A pediatrician observes that in a simple random sample of 130 children at her practice, 17...

A pediatrician observes that in a simple random sample of 130 children at her practice, 17 had elevated blood lead levels at their 2-year screening. Blood lead level guidelines are set such that the threshold for ‘elevated’ is the 90th percentile of nationwide blood lead levels at age two. This means that in the U.S. as a whole, 10% of children have elevated blood lead levels.

The pediatrician wants to test whether blood lead levels of 2-year-olds at her practice are more likely to be elevated as compared to 2-year-olds in the U.S. population as a whole. What are the null and alternative hypotheses of interest?

What is the sample proportion of elevated blood lead levels

(C) What is the sampling distribution of the sample proportion of 2-year-olds with elevated blood lead levels? What properties allowed you to determine this

What is the test statistic testing the hypotheses in part (a)? (3 points)

What is the p-value? (3 points)

What is the conclusion (note: if you only give this in symbols, you will not get full credit)? (3 points)

Math   Statistics-And-Probability   
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Answer #1

a) NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha:

b) the sample proportion of elevated blood lead levels

c) The sampling distribution is approximately.

The properties

np= 130* 0.131=17.03>10

npq= 17.03*0.869=14.80>10

d) Test statistic is

The P-Value is .117023.

The result is not significant because p >.05.

Decision: FAIL TO REJECT THE NULL HYPOTHESIS H0.

Conclusion: We don't have enough evidence to show that the  blood lead levels of 2-year-olders at her practice are more likely to be elevated as compared to 2-year-olders in the U.S. population as a whole.

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