A media streaming website knows that $70 \%$ of its customers primarily watch on their television, $18 \%$ primarily watch on their computer, and $12 \%$ primarily watch on a mobile device. The company wonders if these percentages hold true after a recent update to the product. They take a random sample of 700 customers and obtain these results:
\begin{tabular}{lrrr}
Device & Television & Computer & Mobile \
\hline Expected & $70 \%$ & $18 \%$ & $12 \%$ \
\# of customers & 401 & 197 & 102
\end{tabular}

They want to perform a $\chi^{2}$ goodness-of-fit test to determine if these results suggest that the the distribution has changed.

What is the expected count of customers that watch on their computer in the sample?
You may round your answer to the nearest hundredth.
Expected:

Question

A media streaming website knows that $70 \%$ of its customers primarily watch on their television, $18 \%$ primarily watch on their computer, and $12 \%$ primarily watch on a mobile device. The company wonders if these percentages hold true after a recent update to the product. They take a random sample of 700 customers and obtain these results:
\begin{tabular}{lrrr} 
Device & Television & Computer & Mobile \
\hline Expected & $70 \%$ & $18 \%$ & $12 \%$ \
\# of customers & 401 & 197 & 102
\end{tabular}

They want to perform a $\chi^{2}$ goodness-of-fit test to determine if these results suggest that the the distribution has changed.

What is the expected count of customers that watch on their computer in the sample?
You may round your answer to the nearest hundredth.
Expected:

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Calculate the expected count of customers watching on their computer using the given percentage and sample size. ‖ ‖ step 2 ⋮ The expected percentage for the computer is $18\%$. ‖ ‖ step 3 ⋮ The sample size is 700 customers. ‖ ‖ step 4 ⋮ Multiply the sample size by the expected percentage for the computer: $700 imes 0.18$. ‖ ‖ step 5 ⋮ Perform the calculation: $700 imes 0.18 = 126$. ‖ ‖ step 6 ⋮ Round the answer to the nearest hundredth, which in this case does not change the value: $126.00$. ‖ ∻Answer∻ ⚹ The expected count of customers that watch on their computer in the sample is 126.00. ⚹ ∻Key Concept∻ ⚹Expected Count in a Chi-Square Test⚹ ∻Explanation∻ ⚹The expected count is calculated by multiplying the total sample size by the expected percentage for each category. This is a step in performing a Chi-Square goodness-of-fit test.◊What formula would you use to calculate the expected count of customers watching on their computer in the sample for the Chi-Square goodness-of-fit test?⍭ Generate me a similar question◊⚹

Sia