According to an a Newsweek, the natural ratio the natural ratio of gins to boys is Too:105. In China, the birth ratio is 100:114 (46.7%% girls). Suppose you don't believe the reported figures of the percent of girls born in China. You conduct a study. In this study, you births. There are 64 girls and 86 boys born of the 150. Based on your study, do you believe that the percent of girls born in China is 46.7? Conduct a hypothesis test at the 5% level. born in 150 randomly chosen recent Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a ) State the null hypothesis . O Ho: p = 0.467 O Ho: p = 0.467 O Ho: p5 0.467 Part ( b ) State the alternative hypothesis . O Ha: p > 0.467 O Hai p # 0.467 O Hai p p-value, we do not reject the null hypothesis. O Since a p-value, we reject the null hypothesis. O Since a