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(Question 3) A researcher wishes to test the null hypothesis that a die is fair against...

(Question 3) A researcher wishes to test the null hypothesis that a die is fair against the alternative hypotheses that a die is not fair. A die is rolled 360 times. There are 6 categories. The observed value of the chi square statistic is 10.23.

3. (Use the chi square table to answer this question) In her written report of the results of the experiment, the researcher should declare,

  1. The result is significant at the 1% level, that is, the result is highly significant.
  2. The result is significant at the 5% level but not the 1% level, that is, the result is statistically significant.
  3. The result is not significant at the either the 1% level or the 5% level.
  4. The degrees of freedom are insufficient to perform the test.
  5. None of the above
Math   Statistics-And-Probability   
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Answer #1

Degrees of freedom = n-1 = 6-1 = 5

When alpha = 0.05,

When alpha = 0.01,

Ans:

The result is not significant at the either the 1% level or the 5% level.

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