tab You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category A B C D E Observed Frequency 8 = 23 esc 12 (a) Determine the null and alternative hypotheses. 20 O Ho: PA = PB = Pc = PD = PE Ha: At least one proportion is different O Ho: PA = PB = Pc = PD = PE Ha: At least one proportion is different O Ho: The catagories are independent Ha: The categories are dependent 23 1 (b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places) x² = Expected Frequency q (c) What are the degrees of freedom for this test? d.f.= (d) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = (e) Is the p-value less than o? O yes O no 2 1 5 W # 3 e с LA 4 r % 5 t Oll 6 & 7 O * 8 C

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally
likely to be selected. Complete the table.
Category
A
B
C
D
E
Observed
Frequency
8
=
23
esc
12
(a) Determine the null and alternative hypotheses.
20
O Ho: PA = PB = Pc = PD = PE
Ha: At least one proportion is different
O Ho: PA = PB = Pc = PD = PE
Ha: At least one proportion is different
O Ho: The catagories are independent
Ha: The categories are dependent
23
1
(b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places)
x² =
Expected
Frequency
q
(c) What are the degrees of freedom for this test?
d.f.=
(d) What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
(e) Is the p-value less than o?
O yes
O no
2
1
5
W
#
3
e
с
LA
4
r
%
5
t
Oll
6
&
7
O
*
8
C
Transcribed Image Text:tab You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category A B C D E Observed Frequency 8 = 23 esc 12 (a) Determine the null and alternative hypotheses. 20 O Ho: PA = PB = Pc = PD = PE Ha: At least one proportion is different O Ho: PA = PB = Pc = PD = PE Ha: At least one proportion is different O Ho: The catagories are independent Ha: The categories are dependent 23 1 (b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places) x² = Expected Frequency q (c) What are the degrees of freedom for this test? d.f.= (d) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = (e) Is the p-value less than o? O yes O no 2 1 5 W # 3 e с LA 4 r % 5 t Oll 6 & 7 O * 8 C
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