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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.

Short Answer

Expert verified

The conditions have been mentioned

Step by step solution

01

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.

02

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 least500.

The sample size ought to be huge and bigger than30with the goal that we can expect the population is typical. Fifty children are chosen randomly. The test size is 50which 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.

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Most popular questions from this chapter

Describe a Type II error in this setting.

(a) State hypotheses for a significance test to determine whether first responders are arriving within 8 minutes of the call more often. Be sure to define the parameter of interest.

(b) Describe a Type I error and a Type II error in this setting and explain the consequences of each.

(c) Which is more serious in this setting: a Type I error or a Type II error? Justify your answer.

(d) If you sustain a life-threatening injury due to a vehicle accident, you want to receive medical treatment as quickly as possible. Which of the two significance tests—H0:μ=6.7versusHa:μ<6.7 or the one from part (a) of this exercise—would you be

more interested in? Justify your answer.

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