# Lab13 - orientation? (a) Analyze these data by hand by...

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Lab Exercise – Week 13 STAT 3022, section 001 11/29/2011 Computational Exercises. It is known that left-handed people tend to recall orientations of human heads or ﬁgures diﬀerently than right-handed people. To investigate whether there is a similar systematic diﬀerence in recollection of inanimate object orientation, researchers quizzed University of Oxford undergraduates on the orientation of the tail of the Hale-Bopp comet. Students were shown 8 photographic pictures with the comet it diﬀerent orientations six months after the comet was visible in 1997. The students were asked to select the correct orientation. Data are shown below: Recollection of comet orientation Incorrect Correct Left-handed 149 48 Right-handed 129 68 Is there evidence that left- or right-handedness is associated with correct recollection of the
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Unformatted text preview: orientation? (a) Analyze these data by hand by performing a hypothesis test for homogeneity: H : 1- 2 = 0 vs. H a : 1- 2 6 = 0 (b) Construct a 95% condence interval for 1- 2 by hand . (c) Using the prop.test command in R, repeat parts (a) and (b). Verify that the z-statistic calculated by hand is equal to the square root of the X-squared statistic in the R output. (d) Rather than treat recollection of comet orientation as a response, suppose we just wanted to conduct a test of independence to see whether there is an association between handedness and recollection of comet orientation. Perform a Pearsons Chi-squared test in R, and verify that the test statistic is the same, as well as the p-value....
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