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 11.2, Problem 44E
To determine

To perform hypothesis testing.

Expert Solution & Answer
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Answer to Problem 44E

There is no convincing evidence that there is an association between education level and opinion.

Explanation of Solution

Given:

    Education
    Less than HS HS grad Some college College grad Postgrad degree
    Opinion about handgun ban Yes 58 84 169 98 77
    No 58 129 294 135 99

The null and alternative hypotheses:

  H0 : There is no association between education level and opinion.

  Ha : There is association between education level and opinion.

Using excel,

        Less than HS HS grad Some college College grad Postgrad degree Total
    Yes Observed 58 84 169 98 77 486
      Expected 46.94 86.19 187.36 94.29 71.22 486.00
      (O - E)² / E 2.61 0.06 1.80 0.15 0.47 5.08
    No Observed 58 129 294 135 99 715
      Expected 69.06 126.81 275.64 138.71 104.78 715.00
      (O - E)² / E 1.77 0.04 1.22 0.10 0.32 3.45
    Total Observed 116 213 463 233 176 1201
      Expected 116.00 213.00 463.00 233.00 176.00 1201.00
      (O - E)² / E 4.38 0.09 3.02 0.25 0.79 8.53
    8.53 chi-square
    4 df
    .0741 p-value

Chi-square test statistic = 8.53. The degrees of freedom = 4 and p-value = 0.0741.

Decision: P-value > 0.05, fail to reject H0.

Conclusion: There is no convincing evidence that there is an association between education level and opinion.

Chapter 11 Solutions

PRACTICE OF STATISTICS F/AP EXAM

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