In 2005 and 2012 a WIN-Gallup International asked respondents in 64 countries, "Irrespective of whether you attend a place of worship or not, would you say you are?" The options were: "A religious person," "Not a religious person," "A convinced atheist," or "Do not know." The dataset "atheism" simplifies the responses into "atheist" and "non-atheist." The variables in the dataset "atheism" are: "nationality," "response," and "year." The Statistics There are 1,002 responses from US residents in 2005. Of those responses 10 reported "atheist." Question Use the statistics from the atheism dataset to answer the following question: "With 90% confidence, what percent of US residents in 2005 identified as atheist?" *If any conditions are not met, please state so and proceed with the inference.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The Data
In 2005 and 2012 a WIN-Gallup International asked respondents in 64 countries, "Irrespective of whether you attend a place of worship or not, would you say you are?"
The options were: "A religious person," "Not a religious person," "A convinced atheist," or "Do not know."
The dataset "atheism" simplifies the responses into "atheist" and "non-atheist."
The variables in the dataset "atheism" are: "nationality," "response," and "year."
The Statistics
There are 1,002 responses from US residents in 2005. Of those responses 10 reported "atheist."
Question
Use the statistics from the atheism dataset to answer the following question:
"With 90% confidence, what percent of US residents in 2005 identified as atheist?"
*If any conditions are not met, please state so and proceed with the inference.
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