In: Statistics and Probability
In a class students were asked to report their gender and whether they had ever been in a car accident. Results are shown in the following table:
Ever had a car accident? | ||
---|---|---|
Gender | Yes | No |
Male | 10 | 10 |
Female | 5 | 24 |
We want to test if car accident and gender are related or not.
What is the expected frequency of male and car accident? [Answer to 2 decimal places.]
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What is the expected frequency of male and no car accident? [Answer to 2 decimal places.]
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What is the expected frequency of female and car accident? [Answer to 2 decimal places.]
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What is the expected frequency of female and no car accident? [Answer to 2 decimal places.]
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To test independence between gender and car accidents, what is the value of chi-square test statistic? [Answer to 3 decimal places.]
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Suppose we are testing:
Null hypothesis: gender and car accidents are
not related,
against
Alternative hypothesis: gender and car accidents
are related.
If the p-value associated to the ch-square test-statistics is
0.014 and the level of significance is 5%, what will be your
conclusion?
Not enough information to reach a decision
Do not reject null hypothesis
Reject null hypothesis
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