Worksheet: Chi Square and Correlation Suppose we have three categories A, B, and C. Assume that...
the following tabel contains the number of successes and failures for three categories of a variable. test whether the proportions are equal for each category at the a= .01 level of significance Failures Successes Category 1 Category 2 Category 3 74 56 56 80 81 25 State the hypotheses. Choose the correct answer below. O A. Ho: The categories of the variable and success and failure are dependent. H,: The categories of the variable and success and failure are independent....
Suppose that a response can fall into one of k = 5 categories with probabilities p1, p2, , p5 and that n = 300 responses produced these category counts. Category 1 2 3 4 5 Observed Count 48 63 73 49 67 (a) If you were to test this hypothesis using the chi-square statistic, how many degrees of freedom would the test have? degrees of freedom (b) Find the critical value of χ2 that defines the rejection region with α =...
Suppose the local state university wants to determine whether there is a relationship between a student’s gender and a student’s major in college. The registrar was asked to randomly select 55 students and record their gender and major. The majors were grouped into categories of Natural Science (NS), Social Sciences (SS), and Humanities (H). Answer the following questions based on the results in the table below. NS SS H Total Men 11 9 3 23 Women 9 13 10 ...
please provide a detailed answer, thank you! You are conducting a Goodness of Fit hypothesis test for the claim that the population data values are not distributed as follows: PA = 0.1; PB = 0.4; Pc = 0.3; pp = 0.2 Give all answers as decimals rounded to 3 places after the decimal point, if necessary. (a) What are the hypotheses for this test? OH:Pa = 0.1, PB = 0.4, pc = 0.3, pp = 0.2 H: all of these...
please provide a detailed answer, thank you! B1 pts Over You are conducting a Goodness of Fit hypothesis test for the claim that the population data values are not distributed as follows: PA = 0.4; P = 0.25; Pc = 0.1; P = 0.25 Give all answers as decimals rounded to 3 places after the decimal point, if necessary. (a) What are the hypotheses for this test? OH:PA = 0.4, PB = 0.25, Pc = 0.1, PD = 0.25 H:...
Using the accompanying data below, perform a chi-square test using alphaαequals=0.01 to determine if the proportion of "Yes" observations differs between Populations A and B. Observed frequencies: Population Yes No A 18 20 B 22 20 Expected frequencies: Population Yes No A 19 19 B 21 21 Click the icon to view an excerpt from the table of chi-square critical values. What are the null and alternative hypotheses? A. Upper H 0H0: p Subscript Upper A Baseline not equals p...
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...
The top food snacks consumed by adults aged 18-54 are gum, chocolate candy, fresh fruit, potato chips, breath mints/candy, ice cream, nuts, cookies, bars, yogurt, and crackers. Out of a random sample of 29 men, 13 ranked fresh fruit in their top five snack choices. Out of a random sample of 40 women, 20 ranked fresh fruit in their top five snack choices. Is there a difference in the proportion of men and women who rank fresh fruit in their...
25.35 Comparing two proportions and the chi-square test. The popularity of computer, video, online, and virtual reality games has raised concerns about their ability to negatively affect youth, although the existing literature has been inconsistent. A recent survey of 14- to 18-year-olds in Connecticut high schools compared, among other things, aggressive behavior as evidenced by getting into serious fights for girls who have and have not played video games. When comparing two proportions such as these, the data can be...
The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 500 fish in the sample were distributed as follows. Catfish Bass Bluegill Pike 112 91 224 73 In the 5-year interval, did the distribution of fish change at the 0.05 level? (i) State the null and alternate...