A 0.05 significance level is used for a hypothesis test of the claim that when parents use the XSORT method of gender selection, the proportion of baby girls is different from 0.5. Assume that sample data consists of 55 girls born in 100 births, so the sample statistic of 0.55 results in a z score that is 1.00 standard deviation above 0. Answer the following questions.
a. Identify the null hypothesis and the alternative hypothesis.
b. What is the value of α?
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 test statistic?Page 2 of 3
f. Use Excel's NORM.S.DIST function to find the P-value.
g. Use Excel's NORM.S.INV function to find the critical value.
h. What is the area of the critical region?