# Question: You are performing a goodness of fit test with four categories all

You are performing a goodness-of-fit test with four categories, all of which are supposed to be equally likely. You have a total of 100 observations. The observed frequencies are 21, 26, 31, and 22, respectively, for the four categories.

a. Show that you would fail to reject the null hypothesis for these data for any reasonable significance level.

b. The sum of the absolute differences (between the expected and the observed frequencies) for these data is 14 (i.e. 4 + 1 + 6 + 3 = 14) Is it possible to have different observed frequencies keeping the sum at 14 so that you get a p-value of .10 or less?

a. Show that you would fail to reject the null hypothesis for these data for any reasonable significance level.

b. The sum of the absolute differences (between the expected and the observed frequencies) for these data is 14 (i.e. 4 + 1 + 6 + 3 = 14) Is it possible to have different observed frequencies keeping the sum at 14 so that you get a p-value of .10 or less?

## Answer to relevant Questions

Multiple choice questions: 1. The random variable x2 assumes only a. Positive b. Nonnegative c. Non-positive values 2. The parameter(s) of the chi-square distribution is (are) a. Degrees of freedom b. df and n c. x2 3. Which ...Surfer Dude swimsuit company plans to produce a new line of quick-dry swimsuits. Three textile companies are competing for the company’s quick-dry fabric contract. To check the fabrics of the three companies, Surfer Dude ...A farmer wants to test three brands of weight-gain diets for chickens to determine if the mean weight gain for each of these brands is the same. He selected 15 chickens and randomly put each of them on one of these three ...Suppose you are performing a one-way ANOVA test with only the information given in the following table. a. Suppose the sample sizes for all groups are equal. How many groups are there? What are the group sample sizes? b. The ...The following ANOVA table, based on information obtained for three samples selected from three independent populations that are normally distributed with equal variances, has a few missing values. a. Find the missing values ...Post your question