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Chi-Squared Test

Sample Chi - Square test.

Using the following data, test the question that an equal number of Democrats, Republicans, and Independents voted during the election. Test the hypothesis at the .05 level of significance. Republican = 800 Democrat = 700 Independent = 900

Equality of variance in Minitab

Systolic Blood Pressure for Women: Systolic blood pressure results from contraction of the heart. Based on past results from the National Health Survey, it is claimed that women have systolic blood pressures with a mean and standard deviation of 130.7 and 23.4, respectively. Use the systolic blood pressures of women listed in th

Chi squared non parametric measures

7. A group of department store buyers viewed a new line of dresses and gave their opinions of them. The results were: Opinion Number of Buyers Opinion Number of Buyers Outstanding 47 Good 39 Excellent 45 Fair 35 Very good 40 Undesirable 34 Because the largest number (47) indicated the new line is outstanding, the head desi

Chi square test.

For many years TV executives used the guideline that 30 percent of the audience were watching each of the prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 500 viewers in the Tampa-St. Petersburg, Florida, area last Monday night showed that 165 homes were tuned in to the ABC a

Important information about Chi square test for goodness of fit.

A group of department store buyers viewed a new line of dresses and gave their opinions of them. The results are below: Because the largest number (47) indicated the new line is outstanding, the head designer thinks that this is a mandate to go into mass production of the dresses. The head sweeper (who somehow became involved

Chi Square

Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .01, is the degree of certainty independent of credits earned? Prof. Green's multiple-choice exam had 50 questions with th

Chi Square: Random Samples of Different Scenarios

1. A public policy researcher would like to know whether spending on cities and spending on the environment are statistically dependent. The following data were collected from a random sample of constituents in the voting district. 2. The US Department of Justice wanted to determine whether the sex of a person murdered is rel

Chi square: if there is no connection between weight and average number of hours spent watching TV, we should expect how many children to be spending 3-6 hours on average watching TV and who are more than 10 lbs. underweight?

Recent studies have found that American children are more obese than in the past. The amount of time children spent watchitg television has received much of the blame. A survey of 100 ten-year-olds revealed the following data as shown in the table below with regard to weights and average number of hours a day spent watching tele

Chi-Square Distributions

The chi-square distribution can be used to test: a. the difference between two proportions. b. whether one proportion is higher than another. c. whethr two numerical variables are independent of each other. d. all of the above.

Understanding chi-square distribution: A hypothesis test in Excel.

There are three loan officers at Farmer National Bank. All decisions on mortgage loans are made by one of these officers. The president of the bank would like to be sure that the rejection rate is about the same for the three officers. A sample of 200 recent applications yielded the following results. Is the rejection rate relat

Construct a Hypothesis Test Using the Chi Square.

Provide an example of how you could/would apply a hypothesis test using Chi Square? State the null and alternate hypotheses. You do not need to complete the entire five step process using actual numbers. Note there are no symbols used in stating a Chi Square type hypothesis - only words.

Chi Square

Provide an example of how you could/would apply a hypothesis test using Chi Square. State the null and alternate hypotheses. You do not need to complete the entire five step process using actual numbers. Note there are no symbols used in stating a Chi Square type hypothesis - only words.

Chi Square Test of independence variables

In a test of the independence of two variables, one of the variables has two possible categories and the other has tree possible categories. What will be the critical value of chi-square if the test is to be carried out at the 0.025 level? At the 0.05 level?

Chi Square test of a Contingency Table

In a chi-squared test of a contingency table, the value of the test statistic was =12.678, and the critical value at = 0.025 was 14.4494. Thus, a. we fail to reject the null hypothesis at  = 0.025 b. we reject the null hypothesis at  = 0.025 c. we don't have enough evidence to accept or reject the null hypothesis at

P value for Chi square test

A chi-square test for independence with 8 degrees of freedom results in a test statistic of 18.21. Using the chi-square table, the most accurate statement that can be made about the p-value for this test is that: a. p-value < 0.01 b. 0.025 > p-value > 0.01 c. 0.05 > p-value > 0.025 d. 0.10 > p-value > 0.05

A chi square hypothesis test.

A research organization has collected the following data on household size and telephone ownership for 200 U.S. households at the 0.05 level, are the two variables independent? Based on the chi-square table, what is the most accurate statement that can be made about the p-value for the test?

Chi square distribution: probability statements.

For df = 5 and the constant A, identify the value of A such that a. P(x^2 > A) = 0.90 b. P(x^2 > A) = 0.10 c. P(x^2 > A) = 0.95 d. P(x^2 > A) = 0.05 e. P(x^2 < A)f = 0.975 f. P(x^ < A) = 0.025 where x^2 is chi-squared.

Chi-Square Testing

The following data is taken from a customer satisfaction survey for a food product. Perform a Chi-square test to test the claim of whether a statistically significant relationship exists between the customer's satisfaction level and decision to repurchase the food item again. You may use the manual method of calculation, or sho

Chi Square

A personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis to be tested is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: Day of

Chi square test for equality of variance

Two samples of sizes 25 and 35 are independently drawn from two normal populations, where the unknown population variances are assumed to be equal. What are the number of degrees of freedom of the equal-variances t test statistic? When the necessary conditions are met, a two-tail test is being conducted to test the difference

Hypothesis testing using Chi square distribution.

A recent study by a large retailer designed to determine whether there was a relationship between the importance a store manager placed on advertising and the size of the store revealed the following sample information: Observed Frequencies (sample) Important Not Important Total Small

Evidence to Conclude Significance Tests

One possible side effect of air pollution is genetic damage. A study designed to examine this problem exposed one group of mice to air near a steel mill and another group to air in a rural area and compared the number of mutations in each group. Here are the data for a mutation at the Hm-2 gene locus: Mutation Steel mill air

Sample Size & Chi-Square Questions

1. Why do the critical values from the Chi-square distribution get larger as the degrees of freedom get larger? Recall that this is opposite the pattern for the t-table. 2. Why is choosing sample size important(with specific reference to proportions)?

Chi-Square Analysis of Distribution and Deviation of Any Sample

Three samples of Drosophila heterozygous for the recessive genes black body (b) and rough eyes (r) were inbred and the following data were obtained. A. perform a chi-square analysis for each sample assuming a 9:3:3:1 distribution. B. Is there a significant deviation in any of these samples? Use the table attached.

ChiSquare test for goodness of fit

The author drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 180 times. (Yes, the author has too much free time.) The results are given in the frequency distribution in the margin. Construct the frequency distribution for the outcomes that you would expect from a die that is perfectly fair an

Chi-Square test for goodness of fit

Perform a Chi-Square Goodness of Fit (GOF) test to determine whether there is a difference between the observed values versus the expected values expected. The null hypothesis should be there is no statistical difference between the expected and observed distribution, and the alternate hypothesis is that there is a statistical d

CHi-Square test

15.8 In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. (a) Make a bar chart and describe it. (b) Calculat

Chi square test samples

Please see attached document. 1.TABLE 11-2. Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whether brand awareness of female TV viewers and the gender of the spokesperson are independent. Each in a sample of 300 female TV viewers was asked to identify

Photo Modifications: Distribution of Responses and Preferences

A researcher is investigating the physical characteristics that influence whether a person's face is judged as beautiful. The researcher selects a photograph of a women and then creates two modifications of the photo by (1) moving the eyes slightly farther apart and (2) moving the eyes slightly closer together. The original phot

Chi square, independence and other concepts

1. In a chi-square test, the sample data are called observed frequencies. True False 2. One advantage of the chi-square tests is that they can be used when the data are measured on a nominal scale. True False 3. A chi-square test for goodness of fit is used to evaluate a hypothesis