Use a 0.05 significance level to test the claim that left-handedness is independent of gender. Round to four decimal places if necessary.
A random sample of 760 subjects was obtained, and each was tested for left-hand writing. Results are in the table below.
| Writes with Left Hand? | ||
| Yes | No | |
| Male | 26 | 218 |
| Female | 64 | 452 |
Use a 0.05 significance level to test the claim that left-handedness is independent of gender.
Round to four decimal places if necessary.
a) Write the hypotheses.
b) The expected frequency of female who is left-handedness is
The expected frequency of male who is not left-handedness is
c) significance level: α =
d) Test statistic:
Clearly state whether test statistic in this claim is z, t, chisq. For example, "chisq=1.2345"
e) Compute p-value of the test statistic.
f) Decision: Type "yes" if reject null hypothesis. Type "no" if not to reject null hypothesis.
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