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 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. In words, state what your random variable P' represents. State the distribution to use for the test. (Round your answers to four decimal places.) P'~N (0.467, 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.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Provided information is, according to an article natural ratio of girls to boys is 100:105. Randomly 150 births are chosen, there are 65 girls and 86 boys.
It is claimed that girls born in china are 46.7%
Hypotheses can be constructed as:
H0: p=0.467
H1: p≠0.467
x=64, n=150, p=x/n= 0.4267
The random variable p represents the sample proportion of the girls in the china.
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