A researcher wondered if the currently believed global male-births proportion value approximately p=51.2% is still correct. The researcher decided to perform a two-sided significance test, and in advance, chose a significance-level of 1%. The researcher then randomly sampled the reported birth-sex information for 1000 recent global births, and found that exactly 551 of these babies were reported to be males. Which of the following are correct statements about the conclusion found from this test? Select all that apply 1. The researcher fails to reject the null hypothesis 2. The researcher rejects the null hypothesis, in favor of the two-sided alternative. 3. The evidence was not statistically significant 4. The evidence was statistically significant 5. If the researcher had chosen a significance-level of 2%(instead of 1%), then the test conclusion would have been different from the conclusion actually found. 6. If the researcher had chosen a significance level of 0.5%(instead of 1%), then the test conclusion would have been different from the conclusion actually found. 7. If the Number of boy babies in the researchers random sample had been 560 instead of 551 then the test inclusion would have been different from the conclusion actually found. 8. If the number of boy babies in the researchers random sample hadn’t been 477 instead of 551 then the test conclusion would have been different from the conclusion actually found.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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A researcher wondered if the currently believed global male-births proportion value approximately p=51.2% is still correct. The researcher decided to perform a two-sided significance test, and in advance, chose a significance-level of 1%. The researcher then randomly sampled the reported birth-sex information for 1000 recent global births, and found that exactly 551 of these babies were reported to be males. Which of the following are correct statements about the conclusion found from this test? Select all that apply 1. The researcher fails to reject the null hypothesis 2. The researcher rejects the null hypothesis, in favor of the two-sided alternative. 3. The evidence was not statistically significant 4. The evidence was statistically significant 5. If the researcher had chosen a significance-level of 2%(instead of 1%), then the test conclusion would have been different from the conclusion actually found. 6. If the researcher had chosen a significance level of 0.5%(instead of 1%), then the test conclusion would have been different from the conclusion actually found. 7. If the Number of boy babies in the researchers random sample had been 560 instead of 551 then the test inclusion would have been different from the conclusion actually found. 8. If the number of boy babies in the researchers random sample hadn’t been 477 instead of 551 then the test conclusion would have been different from the conclusion actually found.

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