Question 1. A researcher wonders if the currently-believed global male-births proportion value of approximately p = 51.2% is still correct. The researcher decides to perform a two-sided significance test, and in advance, chooses a significance-level of 1%. The researcher then randomly samples the reported birth-sex information for 1000 recent global births, and finds that exactly 551 of these babies were reported to be males. In percentage form, and rounded to three digits past the decimal point: What is the approximate P-value of this test? Include a percentage symbol at the end of your numerical answer (with no spaces).
Question 1.
A researcher wonders if the currently-believed global male-births proportion value of approximately p = 51.2% is still correct.
The researcher decides to perform a two-sided significance test, and in advance, chooses a significance-level of 1%.
The researcher then randomly samples the reported birth-sex information for 1000 recent global births, and finds that exactly 551 of these babies were reported to be males.
In percentage form, and rounded to three digits past the decimal point: What is the approximate P-value of this test?
Include a percentage symbol at the end of your numerical answer (with no spaces).
Recall from the previous problem:
A researcher wondered if the currently-believed global male-births proportion value of 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 conclusions found from this test?
(Select all that apply. To be marked correct: All of the correct selections must be made, with no incorrect selections.)
Recall from the previous problems:
In order to study the global proportion of male baby births, a researcher randomly sampled the reported birth-sex information for 1000 recent global births. The researcher found that exactly 551 of these babies were reported to be males.
Using this same sample data, the researcher now decides to build a 99%-level confidence
In percentage form, and rounded to two digits past the decimal point: What is the approximate value of the Lower Limit of this confidence interval?
Include a percentage symbol at the end of your numerical answer (with no spaces).
In percentage form, and rounded to two digits past the decimal point: What is the approximate value of the Upper Limit of this confidence interval?
Include a percentage symbol at the end of your numerical answer (with no spaces).
In percentage form, and rounded to two digits past the decimal point: What is the approximate value of the Margin of Error for this confidence interval?
Include a percentage symbol at the end of your numerical answer (with no spaces).
Suppose the researcher now wishes that they had instead built a confidence interval still having this same 99% confidence level, but with a margin of error no greater than 1%.
To achieve these new specifications: The researcher intends in the future, to draw a completely new random sample of reported birth-sex information for recent global births.
What minimum sample size will the researcher need to draw, in order to achieve these new confidence interval specifications?
(Note: Your answer should be a whole number here. Do not include any commas in the number.)
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