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$6$) Some people think that ohemisits are more ilkely than other parents to have female children. The Washington State Dept of Heath lists the parents occupations on birth certificates. Between $1980$ and $1990$, $555$ chiliren were bom to lathers who were chemists of these biths, $273$ were girts. During this period, $48.8 \%$ of all births in Washingtion State were girls. Is there evidence at a significance level of $0$.$05$ , that the proportion of girls bom to chemists is higher than the state proportion?$\newline$$$\begin{array}{l} \pm 2 \cdot \sqrt{\frac{.49(1-.49)}{585}} \quad \hat{p}=\frac{173}{313}-7.49 \\ \pm 2 \cdot .021 \end{array}$$$\newline$$7$) You are told that the population mean score on a recent Calculus test is $59$.$5$ out of $100$ point You can't believe that and think it should be higher. You take a sample and find that in a sample $118$ students, their mean score was $65$.$4$ with a standard deviation of $20$.$8$ . Run a hypothesis te significance level of $0$.$03$ . Be sure to include your test statistic and p-value and interpret you results.$\newline$a. . .$03$