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Chapter 8: Q. 9.18 (page 358)

Early-Onset Dementia. Dementia is the loss of the intellectual and social abilities severe enough to interfere with judgment, behavior, and daily functioning. Alzheimer's disease is the most common type of dementia. In the article "Living with Early Onset Dementia: Exploring the Experience and Developing Evidence Based Guidelines for Practice" (Alzheimer's Care Quarterly, Vol. 5, Issue 2, pp. 111-122), P. Harris and J. Keady explored the experience and struggles of people diagnosed with dementia and their families. A hypothesis test is to be performed to decide whether the mean age at diagnosis of all people with early-onset dementia is less than 55 years old.

Short Answer

Expert verified

Part (a). 55 years

Part (b). less than 55 years

Part (c). left-tailed test

Step by step solution

01

Part (a) Step 1. Given information.  

To determine whether the average age upon diagnosis of all persons with early-onset dementia is less than 55 years old, a hypothesis test will be conducted.

02

Part (a) Step 2. Determine the null hypothesis.  

Let

渭=the mean age at diagnosis of all people with early-onset dementia. The mean age at diagnosis of all people with early-onset dementia u is equal to 55 years.

The null hypothesis:

So,H0:=55years

03

Part (b) Step 1. Determine the alternative hypothesis.  

The alternative idea is that all patients with early-onset dementia u are diagnosed while they are under 55 years old.

So,H0:H<55years

04

Part (c) Step 1. Classify the hypothesis test as two tailed, left tailed, or right tailed.  

This hypothesis test is a left tailed test. This is because the mean age at diagnosis of all people with early-onset dementia 渭is less than 55 is decided by performing the alternative hypothesis test.

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Most popular questions from this chapter

In Exercises 9鈥�12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).

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P-Values. In Exercises 17鈥�20, do the following:

a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.

b. Find the P-value. (See Figure 8-3 on page 364.)

c. Using a significance level of 伪 = 0.05, should we reject H0or should we fail to reject H0?

The test statistic of z = -2.50 is obtained when testing the claim that p<0.75

Identifying H0 and H1 . In Exercises 5鈥�8, do the following:

a. Express the original claim in symbolic form.

b. Identify the null and alternative hypotheses.

Online Data Claim: Most adults would erase all of their personal information online if they could. A GFI Software survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could.

In Exercises 9鈥�12, refer to the exercise identified. Make subjective estimates to decide whether results are significantly low or significantly high, then state a conclusion about the original claim. For example, if the claim is that a coin favours heads and sample results consist of 11 heads in 20 flips, conclude that there is not sufficient evidence to support the claim that the coin favours heads (because it is easy to get 11 heads in 20 flips by chance with a fair coin).

Exercise 5 鈥淥nline Data鈥�

Distributions Using the methods of this chapter, identify the distribution that should be used for testing a claim about the given population parameter.

a. Mean

b. Proportion

c. Standard deviation
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