People suffering from Alzheimer\'s disease often have difficulty performing basi

Question

People suffering from Alzheimer's disease often have difficulty performing basic activities of daily living (ADLs). In one study investigators focused on six such activities: dressing, bathing, transferring, toileting, walking, and eating. Here are data on the number of ADL impairments for each of 240 patients:

A) Determine the relative frequencies that correspond to the given frequencies.
    Note: Round your answer to four decimal places if needed.

B) What proportion (p) of these patients had at most two impairments?
    Note: Round your answer to four decimal places if needed.
    p = ?

C) Use the result of Part (b) to determine what proportion of patients had more than two impairments.
    Note: Round your answer to four decimal places if needed.
    p = ?

D) What proportion of the patients had at least four impairments?
    Note: Round your answer to four decimal places if needed.
    p = ?

Number of impairments 0 1 2 3 4 5 6 Frequency 99 44 36 15 24 10 12

Explanation / Answer

A)

B) Proportion of patients that had at most two impairment = 0.4125+0.1833+0.1500 = 0.7458

C) Proportion of patients that had more than two impairments = 1 - 0.7458 = 0.2542

D) Proportion of the patients that had at least four impairments = 0.1+0.0417+0.0500 = 0.1917

Number of
Impairments Frequency Relative
Frequency 0 99 0.4125 1 44 0.1833 2 36 0.1500 3 15 0.0625 4 24 0.1000 5 10 0.0417 6 12 0.0500

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