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Chapter 9: Q.14 (page 547)

For the study of Jordanian children in Exercise 4, the sample mean hemoglobin level was 11.3 g/dl and the sample standard deviation was 1.6 g/dl. A significance test yields a P-value of 0.0016.

(a) Interpret the P-value in context.

(b) What conclusion would you make if α= 0.05? α= 0.01? Justify your answer.

Short Answer

Expert verified

a. There is a chance of 0.16%of obtaining a sample mean when the mean population is12.

b. There is enough evidence against null hypothesis.

Step by step solution

01

introduction

Given,

mean population is11.3

standard deviation is1.6

sample size is50

new population value is0.0016

02

explanation part (a)

Calculating the null and alternative hypotheses,

population mean value is 12

Ho:μ=12Ha:μ<12

Hence there is a0.16%chance of obtaining a sample mean of11.3gram per deciliter of blood or more.

03

explanation part (b)

Now,

Population mean when α=0.05

p = 0.0101which is less than 0.05

Thus the null hypothesis is invalid.

Population mean when α=0.01

p = 0.0016which is greater than 0.01

Thus the null hypothesis is invalid as there is enough evidence against the null hypothesis

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