A random sample of 90 American female soccer players found that 14 play professionally abroad. Build a 83% CI for the proportion of American female soccer players that play abroad. This will be a Z-Interval since it involves a proportion.
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.
![A random sample of 90 American female soccer players found that 14 play professionally abroad. Build a
83% CI for the proportion of American female soccer players that play abroad.
This will be a Z-Interval since it involves a proportion.
The formula for the sample proportion is: p
Round to three decimals.
a. p =
To find the Margin of Error, E, we need to find the Critical Value, Zc. To do this we use invNorm(C+ (1-
C)/2), where in this problem C = 0.83. Round to three decimals.
b. Z. =
Remember that ĝ = 1 – p. Round to three
Next we find the Margin of Error: E = Z. ·
decimals.
c. E =
Finally, we compute our Cl: p – E <p < p + E
d.
< p <](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0e180e9-bf8c-4123-bea2-599c108c9f59%2F2865ab62-040e-49e6-a1af-ee1ab548964d%2Fmahv52r_processed.jpeg&w=3840&q=75)
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