In: Math
A 0.01 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 different from 0.5. Assume that sample data consists of 66 girls in 144 births, so the sample statistic of 11/24 results in a z score that is 1 standard deviation below 0.
a. Identify the null hypothesis and the alternative hypothesis. Choose the correct answer below.
A.H0:p=0.5
H1:p>0.5
B. H0: p≠0.5
H1: p=0.5
C.H0: p=0.5
H1: p<0.5
D.H0: p=0.5
H1: p≠0.5
b. What is the value of α?
α=________
(Type an integer or a decimal.)
c. What is the sampling distribution of the sample statistic?
Normal distribution
χ2
Student (t) distribution
d. Is the test two-tailed, left-tailed, or right-tailed?
___________
e. What is the value of the test statistic?
The test statistic is ____________
f. What is the P-value?
The P-value is _____________
g. What are the critical value(s)?
The critical value(s) is/are ________
h. What is the area of the critical region?
The area is ________