The marital status distribution of the U.S. male population, age 15 and older, is as shown below. Marital Status never married married widowed divorced/separated Suppose that 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. Frequency Expected Frequency Marital Status never married married widowed Part (a) ⒸPart (b) Part (c) divorced/separated Part (1) Percent 31.3 56.1 2.5 10.1 136 241 3 20 What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) Part (d) Part (e) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? O p-value < 0.001 O 0.001 0.100 Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
The marital status distribution of the U.S. male population, age 15 and older, is as shown below. Marital Status never married married widowed divorced/separated Suppose that 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. Frequency Expected Frequency Marital Status never married married widowed Part (a) ⒸPart (b) Part (c) divorced/separated Part (1) Percent 31.3 56.1 2.5 10.1 136 241 3 20 What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) Part (d) Part (e) What is the test statistic? (Round your answer to two decimal places.) What is the p-value? O p-value < 0.001 O 0.001 0.100 Explain what the p-value means for this problem. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:The marital status distribution of the U.S. male population, age 15 and older, is as shown below.
Marital Status
never married
married
widowed
divorced/separated
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
married
widowed
divorced/separated
Part (a)
Part (b)
Part (c)
Part (f)
136
241
3
Percent
31.3
56.1
2.5
10.1
20
What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.)
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
Part (d)
Part (e)
What is the test statistic? (Round your answer to two decimal places.)
Explain what the p-value means for this problem.
O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
O If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value.
O If Ho is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
O If Ho is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value.
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