According to an article in Newsweek, the natural ratio of girls to boys is 100:105. In China, the birth ratio is 100:114

[answerhappygod]

According to an article in Newsweek, the natural ratio of girls
to boys is 100:105. 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 count the number of girls and boys born in 150 randomly chosen
recent births. There are 60 girls and 90 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. 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.)
What is the test statistic? (If using
the z distribution round your answers to two
decimal places, and if using the t distribution
round your answers to three decimal places.)
z=
What is the p-value? (Round your answer to four
decimal places.)
p=
What is the Alpha?
a=
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.)