You ask 100 persons what color car they like best. The table below lists the observed frequencies for such a survey. Color Observed Frequency Black 14 Blue 29 Red 14 White 13 Other 30 The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars, 25% like blue cars, 20% like red car white cars, and 35% like other colors. What is the value of the test statistic, rounded to three decimal places?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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You ask 100 persons what color car they like best. The table below lists the observed frequencies for such a survey.
Color Observed Frequency
Black
14
Blue
29
Red
14
White
13
Other
30
The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars, 25% like blue cars, 20% like red cars, 10% like
white cars, and 35% like other colors. What is the value of the test statistic, rounded to three decimal places?
Transcribed Image Text:You ask 100 persons what color car they like best. The table below lists the observed frequencies for such a survey. Color Observed Frequency Black 14 Blue 29 Red 14 White 13 Other 30 The null hypothesis for the goodness-of-fit test is that 10% of all persons like black cars, 25% like blue cars, 20% like red cars, 10% like white cars, and 35% like other colors. What is the value of the test statistic, rounded to three decimal places?
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