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 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. Click here to view page 1 of the Normal table. LOADING...  Click here to view page 2 of the Normal table. LOADING... Question content area bottom 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 Normal distribution χ2 Part 4 d. Is the test​ two-tailed, left-tailed, or​ right-tailed? ​Two-tailed Left​-tailed Right​-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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 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.
Click here to view page 1 of the Normal table. LOADING...  Click here to view page 2 of the Normal table. LOADING...
Question content area bottom
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

Normal distribution

χ2
Part 4
d. Is the test​ two-tailed, left-tailed, or​ right-tailed?

​Two-tailed

Left​-tailed

Right​-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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