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. Expected Frequency Frequency Observed Category A 13 B 21 15 D 11 E 19 (a) Determine the null and alternative hypotheses. 1 O Ho: PA = PB = Pc = Pp = Pg Ha: At least one proportion is different O Ho: PA = PB = Pc = Pp = Pg Hạ: At least one proportion is different O Họ:The catagories are independent Hạ: The categories are dependent (b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places) (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 -

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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.
Observed
Expected
Frequency
Category
Frequency
A
13
В
21
15
11
E
19
(a) Determine the null and alternative hypotheses.
1
O Ho: PA = PB = Pc = Pp = Pe
%3D
%3D
5
Ha: At least one proportion is different
O Ho: PA = PB = Pc = Pp = PE
Ha: At least one proportion is different
O Ho:The catagories are independent
Ha: The categories are dependent
(b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places)
(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 a?
O yes
O no
Transcribed Image Text: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. Observed Expected Frequency Category Frequency A 13 В 21 15 11 E 19 (a) Determine the null and alternative hypotheses. 1 O Ho: PA = PB = Pc = Pp = Pe %3D %3D 5 Ha: At least one proportion is different O Ho: PA = PB = Pc = Pp = PE Ha: At least one proportion is different O Ho:The catagories are independent Ha: The categories are dependent (b) What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places) (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 a? O yes O no
(f) This test statistic leads to a decision to...
Oreject the null
O accept the null
do not reject the null
O accept the alternative
(g) As such, the final conclusion is that...
O There is sufficient evidence to support the claim that all 5 categories are equally likely to be
selected.
There is not sufficient support the claim that all 5 categories are equally likely to be selected.
O The is sufficient evidence to support the claim that all 5 categories are not equally likely to be
selected.
O There is not sufficient evidence to support the claim that all 5 categories are not equally likely to be
selected.
Use the box to enter what test you used in the calculator.
Transcribed Image Text:(f) This test statistic leads to a decision to... Oreject the null O accept the null do not reject the null O accept the alternative (g) As such, the final conclusion is that... O There is sufficient evidence to support the claim that all 5 categories are equally likely to be selected. There is not sufficient support the claim that all 5 categories are equally likely to be selected. O The is sufficient evidence to support the claim that all 5 categories are not equally likely to be selected. O There is not sufficient evidence to support the claim that all 5 categories are not equally likely to be selected. Use the box to enter what test you used in the calculator.
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