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Thorne and Giesen Book Cover
Statistics for the Behavioral Sciences, 4/e
Michael Thorne, Mississippi State University -- Mississippi State
Martin Giesen, Mississippi State University -- Mississippi State

Chi Square

Problems

  1. Determine the expected frequencies for each of the cells in the following contingency tables. For each problem, state how many of the expected values actually had to be computed and how many could be found by subtraction.

    1. <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img1.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>

    2. <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img2.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>

    3. <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img3.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (2.0K)</a>

  2. Compute c2 for each of the contingency tables from Problem 1, and test it for significance.

    1. <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img4.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>

    2. <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img5.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (1.0K)</a>

    3. <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img6.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (2.0K)</a>

  3. Left- and right-handed individuals with unilateral (on one side) brain damage were compared to see whether brain injury is more likely to produce aphasia (language difficulties) in one group than in the other. Test the observed result for significance, and tell what your result means in the context of the problem.

    <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img7.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>

  4. Research indicates that some alcoholism is inherited. The families of alcoholic and nonalcoholic adults have been studied to determine whether one or both parents were alcoholic. The results are shown here. Test the observed results for significance, and tell what your result means in the context of the problem.

    <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img8.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (4.0K)</a>

  5. A rhesus monkey was trained to make same–different judgments about pairs of objects. For 50 trials, the animal was shown pictures of objects; it made correct judgments on 43 of the trials. Use the chi-square test to determine whether the animal had generalized its learned response from objects to pictures of objects. Note: The probability of making a correct response on any trial is .5.

  6. A survey was conducted of the product preferences of introverts and extraverts. Does introversion or extraversion make a difference in brand preference?

    <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img9.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>

  7. A professor teaching introductory psychology gave 25 As, 35 Bs, 60 Cs, 30 Ds, and 20 Fs to 170 students in her class. According to the normal curve, she should have given about 4% As, 14% Bs, 64% Cs, 14% Ds, and 4% Fs. Use the chi-square test to determine whether the actual grade assignment significantly departed from a normal distribution.

  8. A test of risk-taking attitudes was given to 60 students, 27 scoring low and 33 scoring high on self-esteem. A score of 10 or higher indicates a positive risk-taking attitude, and a score less than 10 indicates a more cautious approach to life. Determine whether high- and low-self-esteem students differ on this variable.

    <a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=gif:: ::/sites/dl/free/0072832517/55323/c14_img10.gif','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (3.0K)</a>

  9. A professor taught a course in physiological psychology. On the student–teacher evaluation, the professor scored higher than the departmental average on 23 of 28 items. Is this result significantly better than one might expect?

  10. In a statistics class, the same professor from Problem 9 scored higher than the departmental average on 10 of 28 items. Is this result significantly different from the expected result?

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