In China, the birth ratio is claimed to be 100 girls to 114 boys (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 count the number of girls and boys born in 150 randomly chosen recent births. There are62girls and88boys 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% significance level.

What is the test statistic? (If using thezdistribution round your answers to two decimal places, and if using thetdistribution round your answers to three decimal places.)

What is thep-value? (Round your answer to four decimal places.)

Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)