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=enter your response here (Type an integer or a decimal.) Part 3 c. What is the sampling distribution of the sample statistic? Normal distribution Student (t) distribution χ2
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 78 girls in 169 births, so the sample statistic of
6
13 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=enter your response here (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?
Right-tailed
Two-tailed
Left-tailed
Part 5
e. What is the value of the test statistic?
The test statistic is enter your response here. (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 enter your response here.
(Round to two 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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