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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

μ=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 μis less than 55 is decided by performing the alternative hypothesis test.

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Most popular questions from this chapter

Finding P-values. In Exercises 5–8, either use technology to find the P-value or use Table A-3 to find a range of values for the P-value.

Airport Data Speeds: The claim that for Verizon data speeds at airports, the mean. The sample size is and the test statistic is

t =-1.625 .

P-Values. In Exercises 17–20, 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 α= 0.05, should we reject or should we fail to reject ?

The test statistic of z = 1.00 is obtained when testing the claim that p>0.3.

Critical Values. In Exercises 21–24, refer to the information in the given exercise and do the following.

a. Find the critical value(s).

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

Exercise 19

Hypothesis Test with Known σ How do the results from Exercise 13 “Course Evaluations” change if σis known to be 0.53? Does the knowledge of σ have much of an effect?

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