Solved: a. Show that another expression for the
Chapter 14, Problem 10E(choose chapter or problem)
Problem 10E
a. Show that another expression for the chi-squared statistic is
Why is it more efficient to compute χ2 using this formula?
b. When the null hypothesis is (H0: p1 = p2 =………….= (i.e., for all i), how does the formula of part (a) simplify? Use the simplified expression to calculate χ2 for the pigeon/direction data in Exercise 4.
Reference exercise 4
It is hypothesized that when homing pigeons are disoriented in a certain manner, they will exhibit no preference for any direction of flight after takeoff (so that the direction X should be uniformly distributed on the interval from 0° to 360°). To test this, 120 pigeons are disoriented, let loose, and the direction of flight of each is recorded; the resulting data follows. Use the chi-squared test at level .10 to see whether the data supports the hypothesis.
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