Explain why a chi-square goodness-of-fit test, a chi-square independence test, or a chi-square homogeneity test is always right tailed.

dayncNonow04r
2022-04-02
Answered

Explain why a chi-square goodness-of-fit test, a chi-square independence test, or a chi-square homogeneity test is always right tailed.

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Mikaela Winters

Answered 2022-04-03
Author has **14** answers

If the difference between observed and expected frequencies is small, then the values of the test statistics near zero.

If the difference between expected and observed frequencies becomes large then value of the chi-square test statistics is rejected.

Thus, the chi-square goodness of fit test, a chi-square independent test or a chi-square homogeneity test is always right tailed.

If the difference between expected and observed frequencies becomes large then value of the chi-square test statistics is rejected.

Thus, the chi-square goodness of fit test, a chi-square independent test or a chi-square homogeneity test is always right tailed.

asked 2022-03-01

A random sample of 500 people were classified by their ages into 3 age-groups: 29 years and younger, 30 to 64 years, and 65 years and older. Each person from the sample was surveyed about which of 4 major brands of cell phone they used. Their responses were compiled and displayed in a 3-by-4 contingency table. A researcher will use the data to investigate whether there is an association between cell phone brand and age- group. Which of the following is the appropriate test for the investigation?

a. A one-sample t-test for a population mean

b. A two-sample t-test for a difference between means

c. A chi-square goodness-of-fit test

d. A chi-square test of homogeneity

e. A chi-square test of independence

a. A one-sample t-test for a population mean

b. A two-sample t-test for a difference between means

c. A chi-square goodness-of-fit test

d. A chi-square test of homogeneity

e. A chi-square test of independence

asked 2020-12-05

Compare the chi-square p-value and Fisher's exact test p-value and determine which is more accurate.

asked 2022-04-04

Egyptian fruit bats in the wild commonly eat loquats, figs and wild dates. Aresearcher wanted to see whether Egyptian fruit bats showed any preference amongthese three types of fruit. To test that, the researcher collected a sample of 60 fruit bats.Each bat was given an opportunity to select one of the three types of fruit, and its choicewas recorded. The following frequencies were observed:

$\begin{array}{|ccc|}\hline \text{Loquats}& \text{Figs}& \text{Wild dates}\\ 12& 25& 23\\ \hline\end{array}$

a. What type of test should be used to analyze these data?

b. conduct the appropriate test

a. What type of test should be used to analyze these data?

b. conduct the appropriate test

asked 2022-04-06

How to interpret the result according to the table below?

$\begin{array}{cc}& \text{Chi-square Tests}\\ & \begin{array}{|cccc|}\hline & \text{Value}& \text{df}& \text{Asymptotic Significance (2-sided)}\\ \text{Pearson Chi-Square}& & 2& .034\\ \text{Likelihood Ratio}& & 2& .033\\ \text{Linear-by-Linear Association}& & 1& .380\\ \text{N of Valid Cases}& & & \\ \hline\end{array}\text{}\end{array}$

a) Since 0.034<0.05, the Ho hypothesis is rejected

b) Since 0.033<0.05, the Ho hypothesis is rejected

c) Since 0.034<0.5, the Ho hypothesis is rejected

d) Since 0.380>0.05, the Ho hypothesis is accepted

e) Since 0.033<0.5, the Ho hypothesis is rejected

a) Since 0.034<0.05, the Ho hypothesis is rejected

b) Since 0.033<0.05, the Ho hypothesis is rejected

c) Since 0.034<0.5, the Ho hypothesis is rejected

d) Since 0.380>0.05, the Ho hypothesis is accepted

e) Since 0.033<0.5, the Ho hypothesis is rejected

asked 2020-12-29

For this study, why we would want to use Chi-Squared?

1.A study investigating the effects of second-hand smoke in working environments asked the following question: “How often do you experience second-hand smoke in a work environment/function? Never, Occasionally, Fairly Often, Very Often, Almost Always.” The question was asked of managers and employees to determine whether there was an association between position and the amount of second-hand smoke exposure.

1.A study investigating the effects of second-hand smoke in working environments asked the following question: “How often do you experience second-hand smoke in a work environment/function? Never, Occasionally, Fairly Often, Very Often, Almost Always.” The question was asked of managers and employees to determine whether there was an association between position and the amount of second-hand smoke exposure.

asked 2022-04-21

Is age group related to the device people prefer to use to watch television? A research firm sought to answer this question by surveying a random sample of 260 U.S. adults age 18 and over. The results are shown below.

$\begin{array}{|ccccc|}\hline & & \text{Device}& & \\ & & \text{Television}& \text{Computer}& \text{Mobile device}\\ & 18-24& 19& 6& 12\\ \text{Age Group}& 25-34& 23& 7& 39\\ & 35-54& 34& 8& 28\\ & 55+& 33& 8& 13\\ \hline\end{array}$

Which of the following tests should be used?

Either (a) or (c).

A chi-square goodness of fit test.

A z-test for the difference of two proportions.

A chi-square test for homogeneity.

A chi-square test for independence.

Which of the following tests should be used?

Either (a) or (c).

A chi-square goodness of fit test.

A z-test for the difference of two proportions.

A chi-square test for homogeneity.

A chi-square test for independence.

asked 2022-04-21

Observed and Expected counts are given for a chi-square test for association, with the Expected counts in parentheses. Calculate the chi-square statistic for this test.

$\begin{array}{|cccc|}\hline & \text{A}& \text{B}& \text{C}\\ 1& 33(40.4)& 34(31.6)& 33(28)\\ 2& 22(40.4)& 51(31.6)& 27(28)\\ 3& 147(121.2)& 73(94.8)& 80(84)\\ \hline\end{array}$

Round your answer to three decimal places.

${\chi}^{2}=$

Round your answer to three decimal places.