Adults randomly selected for a poll were asked if they​ "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human​ embryos." Of the subjects​ surveyed, 257 were in​ favor, 281 were​ opposed, and 103 were unsure. A politician claims that people​ don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin flip. Use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5.   Find the null and alternative hypothesis. H0: p=0.5 p<0.5 p≠0.5 p>0.5   H1: p<0.5 p>0.5 p≠0.5 p=0.5   If we consider + to represent those in favor, then how many of each sign is there? Positive Signs:  Negative Signs:  Total Signs:  What is the p-value?  (Round to three decimal places.) What is the conclusion about the null?       What is the conclusion about the claim?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Adults randomly selected for a poll were asked if they​ "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human​ embryos." Of the subjects​ surveyed, 257 were in​ favor, 281 were​ opposed, and 103 were unsure. A politician claims that people​ don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin flip. Use a 0.01 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5.  

Find the null and alternative hypothesis.

H0:

  • p=0.5
  • p<0.5
  • p≠0.5
  • p>0.5

 

H1:

  • p<0.5
  • p>0.5
  • p≠0.5
  • p=0.5

 

If we consider + to represent those in favor, then how many of each sign is there?

Positive Signs: 

Negative Signs: 

Total Signs: 

What is the p-value?  (Round to three decimal places.)

What is the conclusion about the null?      

What is the conclusion about the claim?      

 

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