The expected value of chi-square statistics is not significantly different from the observed value.
What is chi-square statistics?
Chi-square statistics is defined as a measure that is used to denote the difference between the expected frequencies and the observed frequencies of an event. It is illustrated using the symbol, 'χ2'.
Deciding for the goodness of a fit
The assigned value of chi-square is 1.273 while the critical value is 13.388
The hypotheses for the goodness of fit test are given below:
Null Hypothesis: the expected value is not significantly different from the observed values
Alternate Hypothesis: the expected value is significantly different from the observed values
We know that the chi-square test is right-tailed.
Further, the value of test statistics is 1.273, which is less than the critical value, 13.388
Thus we fail to reject the null hypothesis and we accept it.
Hence, we can conclude that the expected value is not significantly different from the observed value.
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