A human resources director for a large company is interested in studying the nat
ID: 3367461 • Letter: A
Question
A human resources director for a large company is interested in studying the nature of families across the United States in order to advise the Board of Directors on where a new branch office should be located. One issue is whether there is a difference in the mean age at which a person's first child is born that is due to the part of the country in which the person lives.
An ANOVA was performed examining 9 regions in the United States: E. North Central, E. South Central, Middle Atlantic, Mountain, New England, Pacific, South Atlantic, W. South Central, and W. North Central. The results are shown in the ANOVA table below:
What is the conclusion of the hypothesis test, at the 0.01 level of significance?
Reject the null hypothesis and conclude that at least two regions have a mean age at which a first child is born that is different from 0.
Fail to reject the null hypothesis and conclude that the mean age at which a person's first child is born is the same for all regions.
Reject the null hypothesis and conclude that at least two regions differ in the mean ages at which a person's first child is born.
Reject the null hypothesis and conclude that all regions differ in the mean ages at which a person's first child is born.
Reject the null hypothesis and conclude that people who live in the Middle Atlantic region of the country wait the longest, on average, to have a first child, while the age in all other regions is the same.
Reject the null hypothesis and conclude that at least two regions have a mean age at which a first child is born that is different from 0.
Fail to reject the null hypothesis and conclude that the mean age at which a person's first child is born is the same for all regions.
Reject the null hypothesis and conclude that at least two regions differ in the mean ages at which a person's first child is born.
Reject the null hypothesis and conclude that all regions differ in the mean ages at which a person's first child is born.
Reject the null hypothesis and conclude that people who live in the Middle Atlantic region of the country wait the longest, on average, to have a first child, while the age in all other regions is the same.
Explanation / Answer
The image is not visible provided by the student but I am giving the direction to answer this question and student can do it very easily.
If the p-value is greater than 0.01 then the correct choice is "Fail to reject the null hypothesis and conclude that the mean age at which a person's first child is born is the same for all regions"
if the p-value is less than 0.01 then the correct choice is "Reject the null hypothesis and conclude that at least two regions differ in the mean ages at which a person's first child is born"
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