2 2. A number is to be selected from the interval {x: 0 < x < 2} by a random process. Let A = {x: (i-1)/2 < x ≤ i/2}, i = 1,2,3, and let A4 = {x: < x < 2}. For i = 1, 2, 3, 4, suppose a certain hypothesis assigns probabilities pio to these sets in accordance with pio SA, 2dx, i = 1, 2, 3, 4. This hypothesis (concerning the multinomial pdf with k = 4) is to be tested at the 5% level of significance by a chi- square test. If the observed frequencies of the sets Ai, i = 1, 2, 3, 4, are respectively 30, 30, 10, 10, would Ho be accepted at the (approximate) 5% level of significance? =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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2. A number is to be selected from the interval {x: 0 < x < 2} by a random process.
Let A = {x: (i-1)/2 < x≤ i/2}, i = 1,2,3, and let A4 = {x: < x < 2}.
For i = 1, 2, 3, 4, suppose a certain hypothesis assigns probabilities pio to these sets
in accordance with Pio SA, 2dx, i = 1, 2, 3, 4. This hypothesis (concerning the
multinomial pdf with k = 4) is to be tested at the 5% level of significance by a chi-
square test. If the observed frequencies of the sets Ai, i = 1, 2, 3, 4, are respectively
30, 30, 10, 10, would Ho be accepted at the (approximate) 5% level of significance?
=
Transcribed Image Text:2 2. A number is to be selected from the interval {x: 0 < x < 2} by a random process. Let A = {x: (i-1)/2 < x≤ i/2}, i = 1,2,3, and let A4 = {x: < x < 2}. For i = 1, 2, 3, 4, suppose a certain hypothesis assigns probabilities pio to these sets in accordance with Pio SA, 2dx, i = 1, 2, 3, 4. This hypothesis (concerning the multinomial pdf with k = 4) is to be tested at the 5% level of significance by a chi- square test. If the observed frequencies of the sets Ai, i = 1, 2, 3, 4, are respectively 30, 30, 10, 10, would Ho be accepted at the (approximate) 5% level of significance? =
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