A GEICO Direct magazine had an interesting article concerning the percentage of teenage motor vehicle deaths and the time of day. The following percentages.

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Presentation transcript:

A GEICO Direct magazine had an interesting article concerning the percentage of teenage motor vehicle deaths and the time of day. The following percentages were given from a sample. Time % 12-3AM AM 8 6-9AM 8 9AM-noon 6 Noon-3PM PM PM 15 9PM-12AM 19

Is the percentage of teenage motor vehicle deaths the same for each time period? Conduct a hypothesis test at the 1% level. H o : The percent of teenage motor vehicle deaths is the same for each time period. H a : The percent of teenage motor vehicle deaths is not the same for each time period.

The table contains the observed (O) percentages. If the null hypothesis is true, the expected percentages (E) are 100% divided by 8 time periods or 12.5%. A Goodness-of-Fit Test is always right-tailed. The degrees of freedom (df) = n – 1 = 8 – 1 = 7

Distribution for the Test: Chi-Square Mean of the distribution = number of dfs = 7

Test statistic: 13.6 p-value: graph:

Decision: Do not reject the null hypothesis. Conclusion: We conclude that the percent of teenage motor vehicle deaths is the same for each time period.