# Obtaining Data from a Frequency Table

A consumer's group checked the gasoline mileage (to the nearest mile per gallon) on 25 different cars. The following gives a summary of the findings:

Miles Per Gallon Frequency

Less than 15 2

16-20 4

21-30 13

31-40 5

over 40 1

Which of the following quantities can be obtained from the table?

A. The number of cars that got over 30 miles per gallon

B. The number of cars that got less than 10 Miles per gallon

C. The number of cars that got 30 miles per gallon

D. The number of cars that got 20-30 miles per gallon

https://brainmass.com/math/consumer-mathematics/61920

#### Solution Summary

Obtaining Data from a Frequency Table is investigated.

The Thinking Channel: Chi-square goodness-of-fit test, p value, test statistic

Executives at The Thinking Channel have decided to test whether the educational backgrounds of the channel's viewers are different from the educational backgrounds of American adults (ages and over) as a whole. The executives have the following information on the American adult population as a whole, obtained from a recent U.S. Current Population Survey:

Highest degree earned

Less than high school 12%

High school 25%

College 55%

Higher than college 8%

Percent of population

The executives also obtained data (from telephone surveys) on highest degrees earned for a random sample of 150 American adults who are Thinking Channel viewers. These data are summarized in the first row of numbers in Table 1 below. These numbers are the observed frequencies in the sample of 150 for each of the degree categories. The second row of numbers in Table 1 gives the expected frequencies under the assumption that the distribution of highest degrees earned by Thinking Channel viewers is the same as the distribution of highest degrees earned by American adults as a whole. The bottom row of numbers in Table 1 gives the values

= (Observed frequency - Expected frequency)2

Expected frequency

for each of the degree categories.

Fill in the missing values of Table 1. Then, using the level of significance, perform a test of the hypothesis that the distribution of highest degrees earned by Thinking Channel viewers is the same as the distribution of highest degrees earned by American adults as a whole. Then complete Table 2.

Round your responses for the expected frequencies in Table 1 to at least two decimal places. Round your responses in Table 1 to at least three decimal places. Round your responses in Table 2 as specified. Send data

to Excel

less hs hs college higher totsl

please answer

observed freq 17 21 100 12

150

expected frequency ??? 37.50 ??? 12.00

(f0-fe)2

------- ???? 7.260 ???? 0

fe

1. please answer the ??? in the chart above

2. the value of the test statistic

3. the p value

4. type of test statistic used