Gender (female or male) and handedness (right-handed or left-handed) are recorded for a randomly selected sample of adults. Of the 100 women in the sample, 92 women are right-handed.  Of the 80 men in the sample, 70 men are right-handed. Write a two-way table of observed counts. Calculate the conditional distribution of handedness, given gender. Describe the conditional distribution above in a few sentences. Determine expected counts for all combinations of gender and handedness. Calculate the value of the chi-square test statistic. Now, show all the steps of the hypothesis test, making sure to write out the conclusion in non-technical language.

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