Determine whether the chi-square test is applied to the categorical or the numerical data.

Tolnaio
2021-02-18
Answered

Determine whether the chi-square test is applied to the categorical or the numerical data.

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Asma Vang

Answered 2021-02-19
Author has **93** answers

The chi-square test can be used for checking the association between categorical variables. The test can be used to decide whether the effect of one categorical data is dependent on the other variable or not. It is not used for the numerical data.

Therefore, the chi-square test is used for the categorical data.

Therefore, the chi-square test is used for the categorical data.

asked 2022-03-31

Suppose we observe the following random sample of size n = 117, sampled from a discrete distribution.

$\begin{array}{|cccccccc|}\hline \text{Value}& 0& 1& 2& 3& 4& 5& 6\\ \text{Count}& 32& 36& 21& 18& 6& 2& 2\\ \hline\end{array}$

We would like to test whether this data comes from a Poisson($\lambda$ ) distribution.

calculate the observed value of the appropriate Goodness of Fit test statistic, used to test the null hypothesis that the observed data is Poisson distributed.

Give answer to three decimal places. Compute the p-value of the observed test statistic you just computed. Give answer to three decimal places.

We would like to test whether this data comes from a Poisson(

calculate the observed value of the appropriate Goodness of Fit test statistic, used to test the null hypothesis that the observed data is Poisson distributed.

Give answer to three decimal places. Compute the p-value of the observed test statistic you just computed. Give answer to three decimal places.

asked 2022-03-17

A study of alcoholism wanted to investigate whether drinking habits differ between alcoholic men and women. A random sample of 34 men and 18 women had to answer the question of what type of alcohol they mainly consume. Results:

$\begin{array}{|ccc|}\hline \text{Gender}& \text{beer}& \text{wine}\\ \text{men}& 15& 19\\ \text{women}& 4& 14\\ \hline\end{array}$

a) Which test would be appropriate to examine whether there is a difference in behavior between men and women?

b) What statistical property examines such a test?

c) Does the data indicate that there is a difference? If so, which one?

a) Which test would be appropriate to examine whether there is a difference in behavior between men and women?

b) What statistical property examines such a test?

c) Does the data indicate that there is a difference? If so, which one?

asked 2022-03-02

A controversial issue in the sport of professional soccer is the use of instant replay for making difficult goal line decisions. Each person in a representative sample of 102 players, fans, coaches, and officials was asked his or her opinion about the use of instant replay for goal-line decisions. The data are summarized in the two-way frequency table below.

$\begin{array}{cc}& \text{Opinion}\\ \text{Category}& \begin{array}{|ccc|}\hline & \text{Favor Use}& \text{Oppose Use}\\ \text{Players}& 22& 2\\ \text{Fans}& 18& 6\\ \text{Coaches}& 15& 26\\ \text{Officials}& 3& 10\\ \hline\end{array}\text{}\end{array}$

In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?

a. The number of degrees of freedom for the test is 8 - 1 = 7.

b. The chi-square test should not have been used because two of the counts in the table are less than 5.

c. The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.

d. The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.

e. The chi-square test shows that fans favor the use of instant replay.

In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?

a. The number of degrees of freedom for the test is 8 - 1 = 7.

b. The chi-square test should not have been used because two of the counts in the table are less than 5.

c. The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.

d. The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.

e. The chi-square test shows that fans favor the use of instant replay.

asked 2022-04-19

What is the appropriate statistical test to assess whether there is an association between obesity status(normal weight,overweight,obese) and 5 year incident cardiovascular Disease(CVD)? Suppose each participant's obesity status(category) is known along with whether they develop CVD over the next 5 years or not.

asked 2022-03-03

A large group of workers is divided into three departments: those who work in special operations, those who work on the main floor, and those who work in management. Strep throat has been going around and a health inspector would like to know if there is a relationship between department and having strep throat. She selects a random sample of 100 workers and classifies each one according to their department and whether they have strep throat. The data are displayed in the table.

The health inspector would like to know if these data provide convincing evidence that the distribution of strep throat status differs across the departments in the population of all workers of this large company. What is the appropriate inference procedure?

a. chi-square test for goodness of fit because the data come from one random sample

b. chi-square test for homogeneity because the data come from independent random samples

c. chi-square test for association/independence because the data come from one random sample

d. chi-square test for association/independence because the data come from independent random samples$\begin{array}{cc}& \text{Department}\\ \text{Strep?}& \begin{array}{|cccc|}\hline & \text{Special Operations}& \text{Main Floor}& \text{Management}\\ \text{Strep}& 6& 13& 5\\ \text{No Strep}& 40& 30& 6\\ \hline\end{array}\text{}\end{array}$

The health inspector would like to know if these data provide convincing evidence that the distribution of strep throat status differs across the departments in the population of all workers of this large company. What is the appropriate inference procedure?

a. chi-square test for goodness of fit because the data come from one random sample

b. chi-square test for homogeneity because the data come from independent random samples

c. chi-square test for association/independence because the data come from one random sample

d. chi-square test for association/independence because the data come from independent random samples

asked 2022-04-24

In the following table, likely voters’ preferences of two candidates are cross-classified by gender.

$\begin{array}{|ccc|}\hline & \text{Male}& \text{Female}\\ \text{Candidate A}& 150& 130\\ \text{Candidate B}& 100& 120\\ \hline\end{array}$

For the chi-square test of independence, the value of the test statistic is:

a. 2.34

b. 1.62

c. 3.25

d. 4

For the chi-square test of independence, the value of the test statistic is:

a. 2.34

b. 1.62

c. 3.25

d. 4

asked 2022-03-03

1. The chi-square test tells us:

a. Whether there is a relationship or association

b. Effect size (how small or large the association is)

c. Both a and b

d. None of the above

2. The chi-square test requires that the

a. Frequencies represent independent counts (not ranks or percentages)

b. Categories are mutually exclusive and exhaustive, i.e., that is every subject can be assigned to only one appropriate category

c. Data are independent, i.e., repeated measures are not allowed

d. All of the above

3. The following is true about the chi-square test:

a. It compares observed frequencies with the expected frequencies

b. Greater the difference between the observed and the expected frequencies, greater the value of calculated chi-square

c. Degrees of freedom = (rows-) x (columns-1)

d. All of the above

a. Whether there is a relationship or association

b. Effect size (how small or large the association is)

c. Both a and b

d. None of the above

2. The chi-square test requires that the

a. Frequencies represent independent counts (not ranks or percentages)

b. Categories are mutually exclusive and exhaustive, i.e., that is every subject can be assigned to only one appropriate category

c. Data are independent, i.e., repeated measures are not allowed

d. All of the above

3. The following is true about the chi-square test:

a. It compares observed frequencies with the expected frequencies

b. Greater the difference between the observed and the expected frequencies, greater the value of calculated chi-square

c. Degrees of freedom = (rows-) x (columns-1)

d. All of the above