Presidential Poll. A research group suspects that less than 46% of Americans support the Republican presidential candidate. To test this claim, they randomly call Americans until they get 1000 responses. Of the 1000 people who responded, 457 of them say they support the Republican presidential candidate. Test the research group's suspicion at a 5% level of significance. (a) Select the correct null and alternative hypotheses. Ho: p = 0.457 Ha: p < 0.457 Ho: p = 0.46 Ha: p ≠ 0.46 Ho: p = 0.46 Ha: p < 0.46 Ho: p = 0.457 Ha: p ≠ 0.457 Ho: p = 0.457 Ha: p > 0.457 Ho: p = 0.46 Ha: p > 0.46 (b) Find the p-value (round to three significant figures). (c) Write the final conclusion using everyday language. There is sufficient evidence to reject the group's suspicion. There is not sufficient evidence to reject the group's suspicion. There is sufficient evidence to support the group's suspicion. There is not sufficient evidence to support the group's suspicion
Presidential Poll. A research group suspects that less than 46% of Americans support the Republican presidential candidate. To test this claim, they randomly call Americans until they get 1000 responses. Of the 1000 people who responded, 457 of them say they support the Republican presidential candidate. Test the research group's suspicion at a 5% level of significance. (a) Select the correct null and alternative hypotheses. Ho: p = 0.457 Ha: p < 0.457 Ho: p = 0.46 Ha: p ≠ 0.46 Ho: p = 0.46 Ha: p < 0.46 Ho: p = 0.457 Ha: p ≠ 0.457 Ho: p = 0.457 Ha: p > 0.457 Ho: p = 0.46 Ha: p > 0.46 (b) Find the p-value (round to three significant figures). (c) Write the final conclusion using everyday language. There is sufficient evidence to reject the group's suspicion. There is not sufficient evidence to reject the group's suspicion. There is sufficient evidence to support the group's suspicion. There is not sufficient evidence to support the group's suspicion
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 1E: A binomial experiment is UDC in which there are exactly __________ outcome. One outcome is called...
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Presidential Poll. A research group suspects that less than 46% of Americans support the Republican presidential candidate. To test this claim, they randomly call Americans until they get 1000 responses. Of the 1000 people who responded, 457 of them say they support the Republican presidential candidate. Test the research group's suspicion at a 5% level of significance.
(a) Select the correct null and alternative hypotheses.
- Ho: p = 0.457
Ha: p < 0.457 - Ho: p = 0.46
Ha: p ≠ 0.46 - Ho: p = 0.46
Ha: p < 0.46 - Ho: p = 0.457
Ha: p ≠ 0.457 - Ho: p = 0.457
Ha: p > 0.457 - Ho: p = 0.46
Ha: p > 0.46
(b) Find the p-value (round to three significant figures).
(c) Write the final conclusion using everyday language.
- There is sufficient evidence to reject the group's suspicion.
- There is not sufficient evidence to reject the group's suspicion.
- There is sufficient evidence to support the group's suspicion.
- There is not sufficient evidence to support the group's suspicion
(d) What are some aspects of this poll that might bias the results? (Select all that apply)
- If the candidate is controversial, responders may wish to remain anonymous.
- 1000 is too small of sample size.
- The sampling is voluntary not simple random.
- Phone and email surveys are susceptible to non-response bias.
Transcribed Image Text:Presidential Poll. A research group suspects that less than 46% of Americans support the Republican
presidential candidate. To test this claim, they randomly call Americans until they get 1000 responses. Of
the 1000 people who responded, 457 of them say they support the Republican presidential candidate. Test
the research group's suspicion at a 5% level of significance.
(a) Select the correct null and alternative hypotheses.
Она: р - 0.457
Hạ: p < 0.457
Она: р - 0.46
H2: p = 0.46
Он: р- 0.46
Ha: p < 0.46
Она: р - 0.457
Ha: p = 0.457
Она: р - 0.457
Ha: p > 0.457
Она: р - 0.46
Ha: p > 0.46
(b) Find the p-value (round to three significant figures).
(c) Write the final conclusion using everyday language.
There is sufficient evidence to reject the group's suspicion.
O There is not sufficient evidence to reject the group's suspicion.
There is sufficient evidence to support the group's suspicion.
O There is not sufficient evidence to support the group's suspicion
(d) What are some aspects of this poll that might bias the results? (Select all that apply)
Oif the candidate is controversial, responders may wish to remain anonymous.
| 1000 is too small of sample size.
The sampling is voluntary not simple random.
| Phone and email surveys are susceptible to non-response bias.
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