The marital status distribution of the U.S. male population, age 15 and older, is as shown below. Marital Status Percent never married 31.3 married 56.1 widowed 2.5 divorced/separated 10.1 Suppose that a random sample of 400 U.S. young adult males, 18 to 24 years old, yielded the following frequency distribution. We are interested in whether this age group of males fits the distribution of the U.S. adult population at the 5% level. Calculate the frequency one would expect when surveying 400 people. Fill in the table below, rounding to two decimal places. Marital Status Frequency Expected Frequency never married 137 125.2 married 240 224.4 widowed 2 10 divorced/separated 21 40.4 O Part (a) O Part (b) O Part (c) Part (d) State the distribution to use for the test. O Part (e) What is the test statistic? (Round vour answer to two decimal places) O Part (f) What is the p-value? O p-value < 0.001 O 0.001 < p-value <0.010 O 0.010 < p-value < 0.025 O 0.025 < p-value < 0.050 O 0.050 < p-value <0.100 O p-value > 0.100

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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The marital status distribution of the U.S. male population, age 15 and older, is as shown below.
Marital Status
Percent
never married
31.3
married
56.1
widowed
2.5
divorced/separated
10.1
Suppose that a random sample of 400 U.S. young adult males, 18 to 24 years old, yielded the following frequency distribution. We are interested in whether this age group of males fits the distribution of the U.S. adult population
at the 5% level. Calculate the frequency one would expect when surveying 400 people. Fill in the table below, rounding to two decimal places.
Marital Status
Frequency
Expected Frequency
never married
137
125.2
married
240
224.4
widowed
10
divorced/separated
21
40.4
O Part (a)
+ Part (b)
O Part (c)
O Part (d)
State the distribution to use for the test.
t4
O Part (e)
What is the test statistic? (Round vour answer to two decimal places.)
O Part (f)
What is the p-value?
O p-value < 0.001
0.001 < p-value < 0.010
0.010 < p-value < 0.025
0.025 < p-value < 0.050
0.050 < p-value < 0.100
p-value > 0.100
O O
Transcribed Image Text:The marital status distribution of the U.S. male population, age 15 and older, is as shown below. Marital Status Percent never married 31.3 married 56.1 widowed 2.5 divorced/separated 10.1 Suppose that a random sample of 400 U.S. young adult males, 18 to 24 years old, yielded the following frequency distribution. We are interested in whether this age group of males fits the distribution of the U.S. adult population at the 5% level. Calculate the frequency one would expect when surveying 400 people. Fill in the table below, rounding to two decimal places. Marital Status Frequency Expected Frequency never married 137 125.2 married 240 224.4 widowed 10 divorced/separated 21 40.4 O Part (a) + Part (b) O Part (c) O Part (d) State the distribution to use for the test. t4 O Part (e) What is the test statistic? (Round vour answer to two decimal places.) O Part (f) What is the p-value? O p-value < 0.001 0.001 < p-value < 0.010 0.010 < p-value < 0.025 0.025 < p-value < 0.050 0.050 < p-value < 0.100 p-value > 0.100 O O
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