Q.64 - The Practice of Statistics for AP

Question

Hemoglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. People with fewer than 12 grams of hemoglobin per deciliter of blood (g/dl) are anemic. A public health official in Jordan suspects that Jordanian children are at risk of anemia. He measures a random sample of 50 children. Check the conditions for carrying out a significance test of the official’s suspicion.

Step-by-Step Solution

Answer

The conditions have been mentioned

Step 1: Introduction

A sampling distribution is a probability distribution of a statistic obtained from a bigger number of tests drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of the scope of different results that might actually happen for a statistic of a population.

Step 2: Explanation

The conditions for carrying out a significant test of the officer’s suspicion are-

Random sampling should be done. 

The sample size is less than $10\%$ of population size as the number of children is at least $500$.

The sample size ought to be huge and bigger than$30$ with the goal that we can expect the population is typical. Fifty children are chosen randomly. The test size is $50$ which is more than $30$.

We assume the population is normal.

Hence the conditions for carrying out a significance test of the officials suspicion have been done.