A multinomial experiment with k = 3 cells and n = 440 produced the data shown below. Cell 1 Cell 2 Cell 3 ni 120 117 203 If the null hypothesis is Ho: p1 = do the following: (a) Find the expected value of Cell 1. E(Cell 1) (b) Find the expected value of Cell 2. = E(Cell 2) (c) Find the expected value of Cell 3. - E(Cell 3) (d) Find the test statistic. = .25, P2 = .25, P3 = x² (e) Find the rejection region. x² > = = .5 and using a = = 0.05, the
A multinomial experiment with k = 3 cells and n = 440 produced the data shown below. Cell 1 Cell 2 Cell 3 ni 120 117 203 If the null hypothesis is Ho: p1 = do the following: (a) Find the expected value of Cell 1. E(Cell 1) (b) Find the expected value of Cell 2. = E(Cell 2) (c) Find the expected value of Cell 3. - E(Cell 3) (d) Find the test statistic. = .25, P2 = .25, P3 = x² (e) Find the rejection region. x² > = = .5 and using a = = 0.05, the
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A multinomial experiment with \( k = 3 \) cells and \( n = 440 \) produced the data shown below.
\[
\begin{array}{|c|c|c|c|}
\hline
& \text{Cell 1} & \text{Cell 2} & \text{Cell 3} \\
\hline
n_i & 120 & 117 & 203 \\
\hline
\end{array}
\]
If the null hypothesis is \( H_0 : p_1 = 0.25, \; p_2 = 0.25, \; p_3 = 0.5 \) and using \( \alpha = 0.05 \), then do the following:
(a) Find the expected value of Cell 1.
\[ E(\text{Cell 1}) = \boxed{} \]
(b) Find the expected value of Cell 2.
\[ E(\text{Cell 2}) = \boxed{} \]
(c) Find the expected value of Cell 3.
\[ E(\text{Cell 3}) = \boxed{} \]
(d) Find the test statistic.
\[ \chi^2 = \boxed{} \]
(e) Find the rejection region.
\[ \chi^2 > \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe99c8c3a-6178-4c9d-bb99-e1d1268eab01%2Fb3c87b43-5b75-4b6b-a507-ccaaec180c96%2Fnq4ow6l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A multinomial experiment with \( k = 3 \) cells and \( n = 440 \) produced the data shown below.
\[
\begin{array}{|c|c|c|c|}
\hline
& \text{Cell 1} & \text{Cell 2} & \text{Cell 3} \\
\hline
n_i & 120 & 117 & 203 \\
\hline
\end{array}
\]
If the null hypothesis is \( H_0 : p_1 = 0.25, \; p_2 = 0.25, \; p_3 = 0.5 \) and using \( \alpha = 0.05 \), then do the following:
(a) Find the expected value of Cell 1.
\[ E(\text{Cell 1}) = \boxed{} \]
(b) Find the expected value of Cell 2.
\[ E(\text{Cell 2}) = \boxed{} \]
(c) Find the expected value of Cell 3.
\[ E(\text{Cell 3}) = \boxed{} \]
(d) Find the test statistic.
\[ \chi^2 = \boxed{} \]
(e) Find the rejection region.
\[ \chi^2 > \boxed{} \]
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VIEWStep 2: Calculate expected value of Cell 1
VIEWStep 3: Calculate the expected value for Cell 2
VIEWStep 4: Calculate the expected value for cell 3
VIEWStep 5: Determine hypotheses and alculate the test statistic
VIEWStep 6: Calculate degree of freedom critical value, and determine the rejection region
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