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Chapter 15: Chi-Square Tests

683

Figure 15-20:

Line Graph of the Observed and Expected

Number of Viewers

From

Figure 15-20

, onemay observe also that that there are differences

between the observed and expected frequencies but it is difficult to

determine, by just viewing the graph, whether there is a significant

difference between the observed and expected frequencies. To confirm this,

one may have to do further analysis such as a test of hypothesis for

goodness-of-fit to determine whether the deviations are significant or not.

(c)

Test at the 1% significance level whether the percentages of the viewing

audience captured by these shows during the first season did not change

significantly during the second season.

Based on the computations so far, the chi-square test statistic will be

( )

( )

( )

( )

= 1.408.