A 7 12.4 6 12.4 B 16 C 7 D 14 14 B 12.4 b 12.4 12.4 ليا E 18 S >> من a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. x² =1 c. What are the degrees of freedom? d.f.- 4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Given the 5 categories in the table below, test the claim that the categories are equally likely to be
selected at a a 0.05 significance level.
Observed
Expected
Category
Frequency
Frequency
12.4
A
B
12.4
16
16
12.4
C
7
>
B
12.4
D
14
ليا
12.4
18
8
a. Complete the table by calculating the expected frequencies.
b. What is the chi-square test statistic? Round to three decimal places.
=
c. What are the degrees of freedom?
d.f.= 4
d. What is the p-value for this sample? Round to four decimal places.
p-value =
e. Is the p-value less than a? No
f. Make a decision.
Fail to reject the null
く
می
g. Make a conclusion.
8
O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally
likely to be selected.
There is not sufficient evidence to warrant rejection of the claim that all 5 categories are
equally likely to be selected.
O The sample data support the claim that all 5 categories are equally likely to be selected.
O There is not sufficient sample evidence to support the claim that all 5 categories are equally
likely to be selected.
Transcribed Image Text:Given the 5 categories in the table below, test the claim that the categories are equally likely to be selected at a a 0.05 significance level. Observed Expected Category Frequency Frequency 12.4 A B 12.4 16 16 12.4 C 7 > B 12.4 D 14 ليا 12.4 18 8 a. Complete the table by calculating the expected frequencies. b. What is the chi-square test statistic? Round to three decimal places. = c. What are the degrees of freedom? d.f.= 4 d. What is the p-value for this sample? Round to four decimal places. p-value = e. Is the p-value less than a? No f. Make a decision. Fail to reject the null く می g. Make a conclusion. 8 O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O The sample data support the claim that all 5 categories are equally likely to be selected. O There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.
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