Math Question
![You are conducting a multinomial hypothesis test \( (\alpha=0.05) \) for the claim that all 5 categories are equally likely to be selected. Complete the table.
\begin{tabular}{|l|l|l|}
\hline Category & Observed Frequency & Expected Frequency \\
\hline \hline A & 17 & \( \square \) \\
\hline \hline B & 20 & \( \square \) \\
\hline \hline C & 15 & \( \square \) \\
\hline \hline D & 18 & \( \square \) \\
\hline \hline E & 20 & \( \square \) \\
\hline
\end{tabular}
Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.
What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.)
\[
x^{2}=
\]
What are the degrees of freedom for this test?
d.f. \( = \)
What isithe p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
less than (or equal to) \( \alpha \)
greater than \( \alpha \)](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2021/12/22/1923b59a-88f4-457b-b01c-015b6cf99448.png "You are conducting a multinomial hypothesis test \( (\alpha=0.05) \) for the claim that all 5 categories are equally likely to be selected. Complete the table.
\begin{tabular}{|l|l|l|}
\hline Category & Observed Frequency & Expected Frequency \\
\hline \hline A & 17 & \( \square \) \\
\hline \hline B & 20 & \( \square \) \\
\hline \hline C & 15 & \( \square \) \\
\hline \hline D & 18 & \( \square \) \\
\hline \hline E & 20 & \( \square \) \\
\hline
\end{tabular}
Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations.
What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.)
\[
x^{2}=
\]
What are the degrees of freedom for this test?
d.f. \( = \)
What isithe p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
less than (or equal to) \( \alpha \)
greater than \( \alpha \)")
Solution
AIR MATH homework app,
absolutely FOR FREE!
- AI solution in just 3 seconds!
- Free live tutor Q&As, 24/7
- Word problems are also welcome!
Scan the QR code below
to download AIR MATH!
AIR MATH
Scan the QR code below
to download AIR MATH!
