A local school board wanted to investigate whether their approval ratings had changed during the past year. The board selected random samples of voters at both the beginning and the end of the year, and each time the voters were asked whether they approve of the school board. Let p1 represent the proportion of voters who approved of the school board at the beginning of the year and p2 represent the proportion of voters who approved of the school board at the end of the year. Which of the following are the correct null and alternative hypotheses for the school board’s investigation? H0:p1=p2Ha:p1≠p2 Answer A: H sub 0: p sub 1 equals p sub 2. H sub a: p sub 1 is not equal to p sub 2. A H0:p1≠p2Ha:p1=p2 Answer B: H sub 0: p sub 1 is not equal to p sub 2. H sub a: p sub 1 equals p sub 2. B H0:p1=p2Ha:p1p2 Answer D: H sub 0: p sub 1 equals p sub 2. H sub a: p sub 1 is greater than p sub 2. D H0:p1>p2Ha:p1=p2
A local school board wanted to investigate whether their approval ratings had changed during the past year. The board selected random samples of voters at both the beginning and the end of the year, and each time the voters were asked whether they approve of the school board. Let p1 represent the proportion of voters who approved of the school board at the beginning of the year and p2 represent the proportion of voters who approved of the school board at the end of the year. Which of the following are the correct null and alternative hypotheses for the school board’s investigation? H0:p1=p2Ha:p1≠p2 Answer A: H sub 0: p sub 1 equals p sub 2. H sub a: p sub 1 is not equal to p sub 2. A H0:p1≠p2Ha:p1=p2 Answer B: H sub 0: p sub 1 is not equal to p sub 2. H sub a: p sub 1 equals p sub 2. B H0:p1=p2Ha:p1p2 Answer D: H sub 0: p sub 1 equals p sub 2. H sub a: p sub 1 is greater than p sub 2. D H0:p1>p2Ha:p1=p2
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
A local school board wanted to investigate whether their approval ratings had changed during the past year. The board selected random samples of voters at both the beginning and the end of the year, and each time the voters were asked whether they approve of the school board. Let p1 represent the proportion of voters who approved of the school board at the beginning of the year and p2 represent the proportion of voters who approved of the school board at the end of the year. Which of the following are the correct null and alternative hypotheses for the school board’s investigation?
-
H0:p1=p2Ha:p1≠p2
Answer A: H sub 0: p sub 1 equals p sub 2. H sub a: p sub 1 is not equal to p sub 2.A -
H0:p1≠p2Ha:p1=p2
Answer B: H sub 0: p sub 1 is not equal to p sub 2. H sub a: p sub 1 equals p sub 2.B -
H0:p1=p2Ha:p1<p2
Answer C: H sub 0: p sub 1 equals p sub 2. H sub a: p sub 1 is less than p sub 2.C -
H0:p1=p2Ha:p1>p2
Answer D: H sub 0: p sub 1 equals p sub 2. H sub a: p sub 1 is greater than p sub 2.D -
H0:p1>p2Ha:p1=p2
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