PRACTICE OF STATISTICS F/AP EXAM
PRACTICE OF STATISTICS F/AP EXAM
6th Edition
ISBN: 9781319113339
Author: Starnes
Publisher: MAC HIGHER
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Chapter 11.1, Problem 14E

a)

To determine

To perform chi-square goodness of fit test.

a)

Expert Solution
Check Mark

Answer to Problem 14E

There is sufficient evidence to support the claim that seagulls show a preference for where they land.

Explanation of Solution

Given:

    Observed count Frequency
    128 56%
    61 29%
    11 15%

Calculation:

The null and alternative hypotheses:

  H0:p1=0.56,p2=0.29,p3=0.15

  Ha: At least one of the pis is incorrect.

Using excel,

    Observed expected O - E (O - E)² / E % of chisq
    128 112.000 16.000 2.286 15.79
    61 58.000 3.000 0.155 1.07
    11 30.000 -19.000 12.033 83.14
    Total=200 200.000 0.000 14.474 100.00
    14.47 chi-square
    2 df
    .0007 p-value

Decision: P-value < 0.05, reject H0.

Conclusion: There is sufficient evidence to support the claim that seagulls show a preference for where they land.

b)

To determine

To explain which type of ground, do the seagulls preferred the most and least by using relative proportion.

b)

Expert Solution
Check Mark

Answer to Problem 14E

Most preferred ground is sand and least preferred is rocks.

Explanation of Solution

Given:

    Type Observed count Frequency
    sand 128 56%
    mud 61 29%
    rocks 11 15%
    Total 200 100%

Calculation:

As per relative proportion, most preferred ground is sand and least preferred is rocks.

Chapter 11 Solutions

PRACTICE OF STATISTICS F/AP EXAM

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