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Chapter 12: Q. 12.10 (page 491)

Are the observed frequencies variables? What about the expected frequencies? Explain your answers.

Short Answer

Expert verified

Yes. The observed frequencies are the frequencies which falls under the classification of characteristic variable. Observed frequencies are almost equal to the expected frequencies. So, each observed frequency is roughly equal to its corresponding expected frequency.

Step by step solution

01

Step 1. Given information

We need to explain whether the observed frequencies are variables and also need to give the definition for the expected frequencies.

02

Step 2. A brief explanation about the observed and the expected frequencies:

Yes. The observed frequencies are the frequencies which falls under the classification of characteristic variable. Observed frequencies are almost equal to the expected frequencies. So, each observed frequency is roughly equal to its corresponding expected frequency.

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Most popular questions from this chapter

12.51 Farms. The U.S. Department of Agriculture publishes information about U.S. farms in Census of Agriculture. A joint frequency distribution for number of farms, by acreage and tenure of operator, is provided in the following contingency table. Frequencies are in


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a. Fill in the six missing entries.

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e. How many farms are operated by part owners and have between 500 acres and 999 acres, inclusive?

f. How many farms are not full-owner operated?

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In each of the given Exercises, we have presented a contingency table that gives a cross-classification of a random sample of values for two variables, x, and y, of a population. For each exercise, perform the following tasks.

a. Find the expected frequencies. Note: You will first need to compute the row totals, column totals, and grand total.

b. Determine the value of the chi-square statistic.

c. Decide at the 5% significance level whether the data provide sufficient evidence to conclude that the two variables are associated.

In each of Exercises 12.11-12.16, we have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fir text and the sample size. In each case, decide whether Assumptions 1 and 2 for using that text are satisfied.

Sample size : n= 50.

Relative frequencies: 0.22 , 0.22 , 0.25 , 0.30 , 0.01.
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