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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 伪= 0.05? 伪= 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:渭=12Ha:渭<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 伪=0.05

p = 0.0101which is less than 0.05

Thus the null hypothesis is invalid.

Population mean when 伪=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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Most popular questions from this chapter

Healthy bones The recommended daily allowance (RDA) of calcium for women between the ages of 18and 24years is 1200milligrams (mg). Researchers who were involved in a large-scale study of women鈥檚 bone health suspected that their participants had significantly lower calcium intakes than the RDA. To test this suspicion, the researchers measured the daily calcium intake of a random sample of 36women from the study who fell in the desired age range. The Minitab output below displays descriptive statistics for these data, along with the results of a significance test.

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Are boys more likely? We hear that newborn babies are more likely to be boys than girls. Is this true? A random sample of 25,468 firstborn children included 13,173 boys. Boys do make up more than half of the sample, but of course, we don't expect a perfect 50-50 split in a random sample.

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After checking that conditions are met, you perform a significance test of H0:渭=1versus H伪:渭鈮�1. You obtain a Pvalue of 0.022. Which of the following is true?

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(b) A 95%confidence interval for渭will include the value 0.

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(e) None of these is necessarily true.

The reason we use tprocedures instead of zprocedures when carrying out a test about a population mean is that

(a) zcan be used only for large samples.

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