All data is either qualitative or quantitative. In the last section we learned how to make probability computations and use them to make inferential decisions using
In this section you learned about an amazing result about the sampling distribution of the sample proportion.
All data is either qualitative or quantitative. In the last section we learned how to make probability computations and use them to make inferential decisions using ___ ________________ data and the random variable ___. In this section we will learn how to make probability computations and use them to make inferential decisions using _____ _____________ data and the random variable ____.
Turn to page 222 and fill in the following formulas:
μ_p ? =________ and σ_p ? = _________________
If a sample of size n is taken from a population with a population proportion, p, then the distribution of p ? is approximately normal if the following conditions are met:
1. ___ ____________ and __ _________________
2. ________________
Fill in the following as you work through your given problems in MyOpenMath.
1. Given: ____ = _______ and ____ = _______
a. Given: n = ____
Check conditions:
1. np =1.41 which <10 2. n (1-p) = 45.59 which >= 10 3. N = 27000 which >= 940
Can you say the shape of the sampling distribution of the proportion is approx. normal? Yes No
Why or why not? _____since the first condition did not check out_________________________________________________________
b. Given: n = ____
Check conditions:
1. np=42.3 which >=10 2. n (1-p) =4.7 which <10
Can you say the shape of the sampling distribution of the proportion is approx. normal? Yes No Why or why not? _____ since the second condition did not check out_________________________________________________________
c. Given: n = __500___
Check conditions:
1.np=15 which >=10 2. n (1-p) =485 which >=10 3.N = 27000 which >=10000
Can you say the shape of the sampling distribution of the proportion is approx. normal? Yes No
Why or why not? _________ since all 3 conditions check out_____________________________________________________
d. Given: n = _____ and N = ______
Check conditions:
1.np=15which >=10 2. n (1-p) =485 which >=10 3. N = 9235 which < 10000
Can you say the shape of the sampling distribution of the proportion is approx. normal? Yes No
Why or why not? _______ because the third condition did not check out_______________________________________________________
e. __________ The variable information collected from each individual is now qualitative instead of quantitative_________________________________________________________________________
2. Given info with correct symbols: ___p_ = _______ __n___ = ________
a. Fill in the following in the context of this problem:
Individual: ____ a randomly selected booked passenger____________________________________________________
Variable: _____ whether or not a randomly selected booked passenger shows up on time for their flight____________________________________________________
Type of variable: qualitative quantitative-discrete quantitative-continuous
rv X = ___ the number of 220 randomly selected booked passengers that show up on time for their flight____________________________________________________________
rvp ? = ____ the percentage of 220 randomly selected booked passengers that show up on time for their flight__________________________________________________________
b. Check conditions:
1.np =187 which is >= 10 2.n (1-p)= 33 which is >=10 3.N = 1000000 which is (or assumed to be ) >= 4400
Can you say the shape of the sampling distribution of the proportion is approx. normal? Yes No
Why or why not? ____all the three conditions are satisfied__________________________________________________________
c. P( p? ≥ 0.9 ) = __________________________________________ ≈ ___
d. Is _____% an unusually high sample percentage? Since P( p? ≤ 82% ) = 0.1063____________
which is ______>________, _% (is/is not) an unusually high sample percentage.
What might you conclude if you see a sample percentage this high?
_______ There is no evidence that the percentage of all booked passengers that show up on time for their flight has changed from 85%_________________________________________________________________________
e. Is _____% an unusually high sample percentage? Since P( p? ≤ 78% ) = ____________
which is __ ≤____________, ___% (is/is not) an unusually high sample percentage.
What might you conclude if you see a sample percentage this high?
______________ There is evidence that the percentage of all booked passengers that show up on time for their flight is now lower than 85%__________________________________________________________________
3. Given info with correct symbols: _____ = _______ __n___ = _______
a. Fill in the following in the context of this problem:
Individual: ________ a randomly selected college student________________________________________________
Variable: _________ whether or not a randomly selected college student is left-handed________________________________________________
Type of variable: qualitative quantitative-discrete quantitative-continuous
rv X = ____________ the number of 221 randomly selected college students that are left-handed___________________________________________________
rvp ? = _______ the percentage of 221 randomly selected college students that are left-handed_______________________________________________________
b. Check conditions:
1.np = 24.31 which is ≥ 10 2.n(1-p) = 196.69 which is ≥ 10 3. N = 5525 which is (or is assumed to be) ≥ 4420
Can you say the shape of the sampling distribution of the proportion is approx. normal? Yes No
Why or why not? ______because all the three _________conditions are satisfied_______________________________________________
c. P( p? ≤ 0.09 ) = __________________________________________ ≈ __
d. Is ______% an unusually low sample percentage? Since P( p? ≤ 9% ) = __________
which is _____________, ___% (is/is not) an unusually low sample percentage.
What might you conclude if you see a sample percentage this low?
There is no evidence that the percentage of all college students that are left-handed is now lower than 11%
e. Is ______% an unusually low sample percentage? Since P( p? ≤ 5% ) = ___________
which is _____________,___% (is/is not) an unusually low sample percentage.
What might you conclude if you see a sample percentage this low?
There is evidence that the percentage of all college students that are left-handed is now lower than 11%
Collepals.com Plagiarism Free Papers
Are you looking for custom essay writing service or even dissertation writing services? Just request for our write my paper service, and we'll match you with the best essay writer in your subject! With an exceptional team of professional academic experts in a wide range of subjects, we can guarantee you an unrivaled quality of custom-written papers.
Get ZERO PLAGIARISM, HUMAN WRITTEN ESSAYS
Why Hire Collepals.com writers to do your paper?
Quality- We are experienced and have access to ample research materials.
We write plagiarism Free Content
Confidential- We never share or sell your personal information to third parties.
Support-Chat with us today! We are always waiting to answer all your questions.
