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, 284 were in​ favor, 303 were​ opposed, and 96 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≠0.5p≠0.5 p=0.5p=0.5 p<0.5p<0.5 p>0.5p>0.5   H1: p≠0.5p≠0.5 p=0.5p=0.5 p<0.5p<0.5 p>0.5p>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? Select an answer Support the null hypothesis. Fail to reject the null hypothesis. Reject the null hypothesis. Fail to support the null hypothesis.  What is the conclusion about the claim? Select an answer Fail to reject the claim that the proportion of subjects who respond in favor is equal to 0.5. There is insufficient evidence to support the claim that the proportion of subjects who respond in favor is equal to 0.5. Reject the claim that the proportion of subjects who respond in favor is equal to 0.5. Support the claim that the proportion of subjects who respond in favor is equal to 0.5.

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, 284 were in​ favor, 303 were​ opposed, and 96 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≠0.5p≠0.5
  • p=0.5p=0.5
  • p<0.5p<0.5
  • p>0.5p>0.5

 

H1:

  • p≠0.5p≠0.5
  • p=0.5p=0.5
  • p<0.5p<0.5
  • p>0.5p>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? Select an answer Support the null hypothesis. Fail to reject the null hypothesis. Reject the null hypothesis. Fail to support the null hypothesis. 

What is the conclusion about the claim? Select an answer Fail to reject the claim that the proportion of subjects who respond in favor is equal to 0.5. There is insufficient evidence to support the claim that the proportion of subjects who respond in favor is equal to 0.5. Reject the claim that the proportion of subjects who respond in favor is equal to 0.5. Support the claim that the proportion of subjects who respond in favor is equal to 0.5. 

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