applying chi square goodness of fit test: |
relative | observed | Expected | residual | Chi square | |
Category | frequency(p) | Oi | Ei=total*p | R2i=(Oi-Ei)/√Ei | R2i=(Oi-Ei)2/Ei |
5 or more | 0.1083 | 282 | 254.72 | 1.709 | 2.921 |
4 | 0.1420 | 400 | 333.98 | 3.612 | 13.049 |
3 | 0.1653 | 329 | 388.79 | -3.032 | 9.194 |
2 | 0.3263 | 753 | 767.46 | -0.522 | 0.272 |
1 | 0.2581 | 588 | 607.05 | -0.773 | 0.598 |
total | 1.00 | 2352 | 2352 | 0.994298552 | 26.03 |
test statistic X2= | 26.034 |
expected values are in expected column
for 0.01 level and 4 df :crtiical value X2 = | 13.277 | from excel: chiinv(0.01,4) |
5. The chi-square test for goodness of fit - No difference from a known population Aa...
CENGAGE MINDTAP Complete: Chapter 17 Problem Set ALU, We waw c e , this page you eu.LIC TRIGE 4. The chi-square test for goodness of fit - No difference from a known population Aa Aa Suppose you are reading a study conducted in the year 2000 about welfare recipients in the United States. The authors report the following frequency data on the household size of the 2,352 welfare recipients in their random sample: Observed Frequencies Household Size 5-or-more-person 4-person 3-person...
5. Interpretation of a chi-square test for goodness of fit Suppose you are reading a study conducted in the year 2000 about welfare recipients in the United States. The study consisted of a random sample of 199 welfare recipients, and provides summary statistics about various demographic characteristics of the sample, indluding household size broken down into five categories (one, two, three, four, and five or more persons in the household). You wonder if welfare recipients tend to live in different-...
3. The chi-square test for goodness of fit- No preference Aa Aa A developmental psychologist is studying bonding between healthy newborn bables and immediate family members. He wants to know if mothers use smell to recognize their one-week-old infants. To investigate, he selects a randonm sample of mothers of one-week-old infants. Each mother is presented with a garment worn by her infant and two garments wom by unrelated babies. He asks each of the mothers to identify her infant's garment....
The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are a. 10 or more. b. k or more. c. 2k. d. 5 or more.
A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-square test for independence is used to examine the distribution of individuals in a 2×3 matrix of categories. Which test has the larger value for df? a. The test for independence b. Both tests have the same df . c. The df value depends on the sizes of the samples that are used. d. The test for goodness of fit
Which of the following could be a null hypothesis for a chi-square goodness-of-fit test? a. The means increase evenly across categories. b. The dependent variable is normally distributed. c. The variances are equal across categories. d. The frequencies in each category are equal
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies: HoHo : pA=0.4pA=0.4; pB=0.1pB=0.1; pC=0.2pC=0.2; pD=0.3pD=0.3 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency Residual A 50 B 10 C 16 D 33 What is the chi-square test-statistic for this data? χ2=χ2= For significance level alpha 0.1, what is the chi-square Critical Value? Critical Value = What would be the conclusion of this...
In performing a chi-square goodness-of-fit test for a normal distribution, a researcher wants to make sure that all of the expected cell frequencies are at least five. The sample is divided into 7 intervals. The second through the sixth intervals all have expected cell frequencies of at least five. The first and the last intervals have expected cell frequencies of 1.5 each. After adjusting the number of intervals, the degrees of freedom for the chi-square statistic is ____. 2, 3,5,...
In performing a chi-square goodness-of-fit test for a normal distribution, a researcher wants to make sure that all of the expected cell frequencies are at least five. The sample is divided into 7 intervals. The second through the sixth intervals all have expected cell frequencies of at least five. The first and the last intervals have expected cell frequencies of 1.5 each. After adjusting the number of intervals, the degrees of freedom for the chi-square statistic is O 2 3...
A chi-square for goodness of fit hypothesis test was conducted using an alpha of .05. The resulting chi-square was as follows: X2(2, n = 30) = 4.20, p > .05. Find the critical value. What decision was made regarding the null hypothesis?