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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

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

and

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?

(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

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 not

enough evidence to reject the claim that the distribution of educational attainment responses

is not

uniform.

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