Approximately 10% of Americans are left-handed (we will treat this as a known population parameter). A study on the relationship between handedness and profession found that in a random sample of 105 lawyers, 16 of them were left-handed. Test the hypothesis that the proportion of left-handed lawyers differs from the proportion of left-handed Americans.
(a) Clearly state the null and alternative hypotheses.
(b) Calculate the test statistic and p-value.
(c) What do we conclude at the 5% significance level? At the 10% significance level?