. 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 Part 2 b. What is the value of α? α=0.050.05 (Type an integer or a decimal.) Part 3 c. What is the sampling distribution of the sample statistic? Student (t) distribution Normal distribution χ2
A 0.05 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
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24 results in a z score that is 1 standard deviation below 0. Complete parts (a) through (h) below.
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Part 1
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
Part 2
b. What is the value of α?
α=0.050.05 (Type an integer or a decimal.)
Part 3
c. What is the sampling distribution of the sample statistic?
Student (t) distribution
χ2
Part 4
d. Is the test two-tailed, left-tailed, or right-tailed?
Left-tailed
Two-tailed
Right-tailed
Part 5
e. What is the value of the test statistic?
The test statistic is negative 1−1. (Type an integer or a decimal.)
Part 6
f. What is the P-value?
The P-value is enter your response here. (Round to four decimal places as needed.)
Part 7
g. What are the critical value(s)?
The critical value(s) is/are negative 1.96 comma 1.96−1.96, 1.96.
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Part 8
h. What is the area of the critical region?
The area is enter your response here. (Round to two decimal places as needed.)
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