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Eric randomly surveyed 150 adults from a certain city and asked which team in a contest they were rooting​ for, either North High School or South High School. Of the surveyed​ adults, 96 said they were rooting for North High while the rest said they were rooting for South High. Eric wants to determine if this is evidence that more than half the adults in this city will root for North High School. Which of the following is the correct alternative​ hypothesis?

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Answer:

Alternative hypothesis is [tex]H_{a} :[/tex] more than half the adults in the city will root for North High School

Step-by-step explanation:

Eric wants to determine if the survey result is an evidence that more than half the adults in this city will root for North High School.

let p be the true proportion in Eric's city who root for North High School

Then the null and alternative hypotheses will be:

[tex]H_{0} : p=0.5[/tex]

[tex]H_{a} : p>0.5[/tex]

Then test statistic will be calculated using survey data and its p-value is evaluated under certain significance level. If the p-value is less than the significance level, the null hypothesis can be rejected in favor of alternative hypothesis.

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