Question

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?

Choose the correct answer below.
A.If more than half of all adults in this city root for North High, 3 out of every 1000 randomsamples of the same size from this population would produce the same result observed in thisstudy or a result more unusual.
B.If half of all adults in this city root for North High, 3 out of every 1000 random samples of thesame size from this population would produce the same result observed in this study or a resultmore unusual.
C.There's a 0.3% chance that the null hypothesis is true.
D.It states that 3 out of every 1000 random samples of the same size from this population wouldproduce the same result observed in this study or a result more unusual.

Answer 1

B

Explanation:

• A 95% confidence level interval will have 0.52 (lower interval) & 0.68 (upper interval) which means that that if 90 individuals root for North HS then p value is 0.6 which will fall in the 95% confidence interval range.
• For the option B the p value will also be same as in case A hence B is true as an alternative hypothesis.
• We can calculate P value

Confidence Interval = p ± z
`√(p(1-p)/n)`