Question

The categories of a categorical variable are given along with the observed counts from a sample....

The categories of a categorical variable are given along with the observed counts from a sample. The expected counts from a null hypothesis are given in parentheses. Compute the -test statistic, and use the -distribution to find the p-value of the test.

Category A B C D
Observed (expected) 60 (60) 111 (120) 166 (180) 254 (240)

What is the chi-square statistic and what is the p-value?

Homework Answers

Answer #1

Answer:-

Page one

Page two

Thanks dear student

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The categories of a categorical variable are given along with the observed counts from a sample....
The categories of a categorical variable are given along with the observed counts from a sample. The expected counts from a null hypothesis are given in parentheses. Compute the χ2-test statistic, and use the χ2-distribution to find the p-value of the test. Category A B C D Observed    (Expected) 25(20) 35(40) 50(60) 90(80) Round your answer for the chi-square statistic to two decimal places, and your answer for the p-value to four decimal places. chi-square statistic = Enter your...
A researcher conducted a goodness-of-fit test by using categorical data. Her data consists of 4 categories....
A researcher conducted a goodness-of-fit test by using categorical data. Her data consists of 4 categories. Her null hypothesis states that the data occur in each category with the same frequency. If she found the test statistic χ2=χ2=12.03: What is the degree of freedom of the χ2χ2 statistic? 3 What is the P-value of the goodness-of-fit test? (Round to 3 decimals)
1. The sample data for Chi-square test are called ______ ? a. Expected frequencies b. Observed...
1. The sample data for Chi-square test are called ______ ? a. Expected frequencies b. Observed frequencies c. Expected proportions d. Observed proportions 2. The chi-Square test statistic should not be used if _______? a. fe > 5 for any cell b. fe < 5 for any cell c. fe = fo d. None of the above 3. A nation-wide data indicated that 60% of students approved of the instructors grading policy, 30% disapproved and 10% had no opinion. The...
The table to the right contains observed values and expected values in parentheses for two categorical​...
The table to the right contains observed values and expected values in parentheses for two categorical​ variables, X and​ Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts ​(a) and ​(b) below. Upper X 1 Upper X 2 Upper X 3 Upper Y 1 34 left parenthesis 35.67 right parenthesis 43 left parenthesis 44.77 right parenthesis 51 left parenthesis 47.56 right parenthesis Upper Y 2 17 left parenthesis 15.33 right...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.1pA0.1;  pB=0.5pB0.5;  pC=0.3pC0.3;  pD=0.1pD0.1 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 23 B 54 C 37 D 8 What is the chi-square test-statistic for this data? χ2= What is the P-Value? P-Value =   For significance level alpha 0.01, What would be the conclusion of this hypothesis test? Reject the...
A large value for the chi-square statistic indicates the sample data (observed values) do not match...
A large value for the chi-square statistic indicates the sample data (observed values) do not match the null hypothesis. there is a good fit between the sample data (observed values) and the null hypothesis.     the observed values from the sample data are consistently larger than the expected values. the observed values from the sample data are consistently smaller than the expected values.
A random sample of females from a certain population yields the following counts on their preferences...
A random sample of females from a certain population yields the following counts on their preferences for different pizzas: Cheese: 15, Sausage: 59, and Pepperoni: 26, An independent random sample of males from the same population yields the following counts on their preferences for different pizzas: Cheese: 15, Sausage: 26, and Pepperoni: 59, You are to test the null hypothesis that there is no difference in pizza prefrences of females as compared to males. Calculate the p-value of the chi-square...
You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the...
You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.1; pB=0.5; pC=0.1;  pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency A 17 B 25 C 6 D 16 What is the chi-square test-statistic for this data? χ2= What is the P-Value? P-Value =
A null hypothesis for a goodness-of-fit test and a frequency table from a sample are given....
A null hypothesis for a goodness-of-fit test and a frequency table from a sample are given. H 0 :   p a = 0.1 , p b = 0.34 ,   p c = 0.2 , p d = 0.16 , p e = 0.1 , p f = 0.1 H a : Some p i is wrong A B C D E F 203 862 531 438 212 154 (a) Find the expected count for the category labeled B. The expected...
9.12 (p541) Consider the following 2x2 table: Observed counts Explanatory variable Response variable 1 2 Total...
9.12 (p541) Consider the following 2x2 table: Observed counts Explanatory variable Response variable 1 2 Total Yes 75 95 170 No 135 115 250 Total 210 210 420 a) You consider using the chi-square test to compare the two conditional distributions. Find the expected values for the cells: (report as an integer) Observed counts Explanatory variable Response variable 1 2 Total Yes ? ? 170 No ? ? 250 Total 210 210 420 b) Computer software give you X2 =...