A 0.1 significance level is used for a hypothesis test of the claim that when parents use a particular method of gender selection, the proportion of baby girls is less than 0.5. Assume that sample data consists of 55 girls in 121 births, so the sample statistic of 5/11 results in a z score that is 1 standard deviation below 0. Complete parts (a) through (h) below.
a. Identify the null hypothesis and the alternative hypothesis.
b. What is the value of alpha?
c. What is the sampling distribution of the sample statistic?
d. Is the test two-tailed, left-tailed, or right-tailed?
e. What is the value of the test statistic?
f. What is the P-value?
g. What are the critical value(s)?
h. What is the area of the critical region?