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Chapter 9: Q.64 (page 587)

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

Normal body temperature (8.2) If "normal" body temperature really is 98.6F, we would expect the proportion pof all healthy 18- to 40 -year-olds who have body temperatures less than this value to be 0.5. Construct and interpret a 95% confidence interval for p. What conclusion would you draw?

Sampling shoppers A marketing consultant observes 50 consecutive shoppers at a supermarket, recording how much each shopper spends in the store. Explain why it would not be wise to use these data to carry out a significance test about the mean amount spent by all shoppers at this supermarket.

A software company is trying to decide whether to produce an upgrade of one of its programs. Customers would have to pay \(100for the upgrade. For the upgrade to be profitable, the company needs to sell it to more than 20%of their customers. You contact a random sample of 60customers and find that 16 would be willing to pay \)100for the upgrade.

(a) Do the sample data give good evidence that more than 20%of the company’s customers are willing to purchase the upgrade? Carry out an appropriate test at the A=0.05significance level.

(b) Which would be a more serious mistake in this setting—a Type I error or a Type II error? Justify your answer.

(c) Other than increasing the sample size, describe one way to increase the power of the test in (a).

A 95%confidence interval for a population mean is calculated to be (1.7,3.5). Assume that the conditions for performing inference are met. What conclusion can we draw for a test of role="math" localid="1650275427722" H0:μ=2versus Ha:μ≠2at the A=0.05level based on the confidence interval?

(a) None. We cannot carry out the test without the original data.

(b) None. We cannot draw a conclusion at the A=0.05level since this test is connected to the 97.5%confidence interval.

(c) None. Confidence intervals and significance tests are unrelated procedures.

(d) We would reject H0at level A=0.05.

(e) We would fail to reject H0at level A=0.05.

Refer to Exercise 1. In Simon’s SRS, 16 of the students were left-handed. A significance test yields a P-value of 0.2184.

(a) Interpret this result in context.

(b) Do the data provide convincing evidence against the null hypothesis? Explain.
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