PRACT STAT W/ ACCESS 6MO LOOSELEAF
PRACT STAT W/ ACCESS 6MO LOOSELEAF
4th Edition
ISBN: 9781319215361
Author: BALDI
Publisher: Macmillan Higher Education
Question
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Chapter 22, Problem 22.11AYK

(a)

To determine

To find:

The study provides evidence that among men with a neurodegenerative disorder for the given data.

(a)

Expert Solution
Check Mark

Answer to Problem 22.11AYK

  χ2=39.35

Explanation of Solution

Given:

Participated in a contact sport =66men

None of the control men =132

Concept used:

Formula

  p=xn

Significance level

  α=1confidenceα=10.95

Calculation:

Parameter p= sample proportion

The best point of estimate of p is sample proportion

Since the sample size are large.

The condition for the two samples z test are met.

The population distribution is normal.

Draw the first table

CTEContact sportsNoContact sports Total

    Observed 21223
    Expected 7.6715.3323.00
    O-E13.3313.330.00
    (O-E)2E23.1911.5934.78

Draw the second table

No CTEContact sportsNoContact sports Total

    Observed 45130175
    Expected 58.33116.67175.00
    O-E13.3313.330.00
    (O-E)2E3.051.524.57

Draw the third table

TotalContact sportsNoContact sports Total

    Observed 66132198
    Expected 66.00132.00198.00
    O-E0.000.000.00
    (O-E)2E26.2413.1239.35

Test statistic

  X Is a random variable

The null hypothesis

  χ2={(OiEi)2Ei}χ2=39.35

(b)

To determine

To explain:

The chi-square test is nevertheless appropriate for the given data.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given:

Participated in a contact sport =66men

None of the control men =132

Concept used:

Formula

  p=xn

Significance level

  α=1confidenceα=10.95

Calculation:

Parameter p= sample proportion

The best point of estimate of p is sample proportion

Since the sample size are large.

The condition for the two samples z test are met.

The population distribution is normal.

Draw the first table

CTEContact sportsNoContact sports Total

    Observed 21223
    Expected 7.6715.3323.00
    O-E13.3313.330.00
    (O-E)2E23.1911.5934.78

Draw the second table

No CTEContact sportsNoContact sports Total

    Observed 45130175
    Expected 58.33116.67175.00
    O-E13.3313.330.00
    (O-E)2E3.051.524.57

Draw the third table

TotalContact sportsNoContact sports Total

    Observed 66132198
    Expected 66.00132.00198.00
    O-E0.000.000.00
    (O-E)2E26.2413.1239.35

Test statistic

  X Is a random variable

The null hypothesis

  χ2={(OiEi)2Ei}χ2=39.35

Significance level

  α=1confidenceα=10.95α=0.05

Since p Value is greater than 0.05 significance level.

So the hypothesis is fail to reject null hypothesis H0

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To  evaluate  the  success  of  a  1-year  experimental  program  designed  to  increase  the  mathematical achievement of underprivileged high school seniors, a random sample of participants in the program will be selected and their mathematics scores will be compared with the previous year’s  statewide  average  of  525  for  underprivileged  seniors.  The  researchers  want  to  determine  whether the experimental program has increased the mean achievement level over the previous year’s statewide average. If alpha=.05, what sample size is needed to have a probability of Type II error of at most .025 if the actual mean is increased to 550? From previous results, sigma=80.
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