Consider the following contingency table that'records the results obtained for four samples of fixed sizes selected from four populations.Sample Selected FromPopulation 1Population 2Population 3Population 4Row 137899370Row 2195977116Row 3 42398790lya. Write the null and alternative hypotheses for a test of homogeneitý for this table.Ho: The proportion in each row isthe samefor all four populations.H: The proportion in each row isthe samefor all four populations.b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. .Round your answers to three decimal places, where required.Population 1Population 2Population 3Population 4TotalRow 1| Privacy Policy © 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc.888F7F8F3F4 Row 3Totalc. For a = 0.025, find the critical value of X. Specify the rejection and nonrejection regions on the chi-square distribution curve.Enter the exact answer from the chi-square distribution table.The rejection region ison the leftof the critical value of y.The nonrejection region ison the leftof the critical value of x.d. Find the value of the test statistic XRound your answer to three decimal places..The value of the test statistic x ise. Using a = 0.025, would you reject the null hypothesis?Privacy Policy I © 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc.DIL

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Description: Consider the following contingency table that'records the results obtained for four samples of fixed sizes selected from four populations.Sample Selected FromPopulation 1Population 2Population 3Population 4Row 137899370Row 2195977116Row 3 42398790ly

Population 1 Population 2 Population 3 Population 4 Total Row 1 37 89 93 70 289 Row 2 19 59 77…

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Consider the following contingency table that' records the results obtained for four samples of fixed sizes selected from four populations. Sample Selected From Population 1 Population 2 Population 3 Population 4 Row 1 37 89 93 70 Row 2 19 59 77 116 Row 3 42 39 87 90 a. Write the null and alternative hypotheses for a test of homogeneitý for this table. Ho: The proportion in each row is the same for all four populations. H1: The proportion in each row is the same for all four populations. h Calculate the expected frequencies for all cells assuming that the null hypothesis is true.

Consider the following contingency table that' records the results obtained for four samples of fixed sizes selected from four populations. Sample Selected From Population 1 Population 2 Population 3 Population 4 Row 1 37 89 93 70 Row 2 19 59 77 116 Row 3 42 39 87 90 a. Write the null and alternative hypotheses for a test of homogeneitý for this table. Ho: The proportion in each row is the same for all four populations. H1: The proportion in each row is the same for all four populations. h Calculate the expected frequencies for all cells assuming that the null hypothesis is true.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

Consider the following contingency table that'records the results obtained for four samples of fixed sizes selected from four populations.
Sample Selected From
Population 1
Population 2
Population 3
Population 4
Row 1
37
89
93
70
Row 2
19
59
77
116
Row 3 42
39
87
90
ly
a. Write the null and alternative hypotheses for a test of homogeneitý for this table.
Ho: The proportion in each row is
the same
for all four populations.
H: The proportion in each row is
the same
for all four populations.
b. Calculate the expected frequencies for all cells assuming that the null hypothesis is true. .
Round your answers to three decimal places, where required.
Population 1
Population 2
Population 3
Population 4
Total
Row 1
| Privacy Policy © 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc.
888
F7
F8
F3
F4

Row 3
Total
c. For a = 0.025, find the critical value of X. Specify the rejection and nonrejection regions on the chi-square distribution curve.
Enter the exact answer from the chi-square distribution table.
The rejection region is
on the left
of the critical value of y.
The nonrejection region is
on the left
of the critical value of x.
d. Find the value of the test statistic X
Round your answer to three decimal places..
The value of the test statistic x is
e. Using a = 0.025, would you reject the null hypothesis?
Privacy Policy I © 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc.
DIL

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