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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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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 <
Transcribed Image Text: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 <
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