MHB Solving a Confusing Word Problem: Measuring Justice After Court

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The discussion revolves around a word problem involving a survey conducted after a court case involving Médecins Sans Frontières. The brother seeks to determine if there was a significant change in customer opinions regarding the organization before and after the court verdict. Initial survey results showed 53 out of 1852 customers opposed Médecins Sans Frontières, while a follow-up revealed 1751 out of 4699 customers shared that sentiment. The participants discuss the need for hypothesis testing, specifically formulating the null and alternative hypotheses to analyze the data. The conversation emphasizes the importance of statistical analysis in measuring public perception of justice following the court's decision.
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I have a word problem to solve and am thoroughly confused. any input would be great...

My younger brother had a run in earlier with Médecins Sans Frontières. He narrowly escaped from an adverse verdict by the court... What he wants is that he be left alone to run his small café...
He asked my oldest brother if he can conduct a survey for him about justice in the Kangaroo Court. Oooops, I mean the Canadian Court...
An initial survey was performed right after Médecins Sans Frontières accused my brother of wrong doing. Of 1852 customers, 53 were against the aggressive tactics of Médecins Sans Frontières. After my brother was cleared by the court, a follow-up survey was performed. Of 4699 customers, 1751 said they did not agree with the aggressive tactics of Médecins Sans Frontières.

At the 1% significance level, do the data suggest that a higher percentage of customers were against Médecins Sans Frontières after the court case?

View attachment 5559

Before court FOR Observed (O) = 1799
Before court FOR Expected (E) = 1342.7
Before court AGAINST O = 53
Before court AGAINST E = 509.3

After court FOR O = 2949
After court FOR E = 3406.775
After court AGAINST O = 1751
After court AGAINST E = 1292.225

View attachment 5560

DF = (r-1) (c-1) = 1
(1342.7 - 1799)2 / 1342.7 + (509.3 - 53)2 / 509.3 + (3406.775 - 2948)2 / 3406.775 + (1292.225 - 1751)2 / 1292.225 =
155.068 + 408.815 + 61.781 + 162.877 = 788.541am I even on the right track? where do i go from here?
 

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First step in hypothesis testing is to formulate the zero hypothesis $H_0$ and the alternative hypothesis. Once you have defined those I can further explain the core principle of the test and how to formulate a conclusion.
 

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