A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 100 mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At α=0.025, can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. Response Frequency, f Not a high school graduate 37 High school graduate 39 College (1 year or more) 24 A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 100 mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At α=0.025, can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. Response Frequency, f Not a high school graduate 37 High school graduate 39 College (1 year or more) 24 (a) State H0 and Ha and identify the claim. H0: The distribution of educational attainment responses is uniform/not uniform Ha: The distribution of educational attainment responses is uniform/not uniform Which hypothesis is the claim? H0 Ha (b) Determine the critical value, χ2 and the rejection region. χ2o=____ (Round to three decimal places as needed.) Choose the correct rejection region below. A. χ2≥χ2o B. χ2<χ2o C. χ2>χ2o D. χ2≤χ2o (c) Calculate the test statistic. χ2=nothing (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. Reject Fail to reject H0. At a 2.5% significance level, there is or is not enough evidence to reject the claim that the distribution of educational attainment responses is or is not uniform.
A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 100 mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At α=0.025, can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. Response Frequency, f Not a high school graduate 37 High school graduate 39 College (1 year or more) 24 A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 100 mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At α=0.025, can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. Response Frequency, f Not a high school graduate 37 High school graduate 39 College (1 year or more) 24 (a) State H0 and Ha and identify the claim. H0: The distribution of educational attainment responses is uniform/not uniform Ha: The distribution of educational attainment responses is uniform/not uniform Which hypothesis is the claim? H0 Ha (b) Determine the critical value, χ2 and the rejection region. χ2o=____ (Round to three decimal places as needed.) Choose the correct rejection region below. A. χ2≥χ2o B. χ2<χ2o C. χ2>χ2o D. χ2≤χ2o (c) Calculate the test statistic. χ2=nothing (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. Reject Fail to reject H0. At a 2.5% significance level, there is or is not enough evidence to reject the claim that the distribution of educational attainment responses is or is not uniform.
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
Related questions
Question
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A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 100
|
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mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on
the right. At
α=0.025,
can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. |
|
Response
|
Frequency, f
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|---|---|---|
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Not a high school graduate
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37
|
|
|
High school graduate
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39
|
|
|
College (1 year or more)
|
24
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|
A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly select 100
|
||||||||||
|
mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on
the right. At
α=0.025,
can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. |
|
(a) State
H0
and
Ha
and identify the claim.H0:
The distribution of educational attainment responses is
uniform/not uniform
Ha:
The distribution of educational attainment responses is
uniform/not uniform
Which hypothesis is the claim?
H0
Ha
(b) Determine the critical value,
χ2
and the rejection region.χ2o=____
(Round to three decimal places as needed.)Choose the correct rejection region below.
χ2≥χ2o
χ2<χ2o
χ2>χ2o
χ2≤χ2o
(c) Calculate the test statistic.
χ2=nothing
(Round to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
Reject
Fail to reject
H0.
At a
2.5%
significance level, there
is
or
is not
is
or
is not
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