MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Researchers conducted a study to find out if there is a difference in the use of online-learning by different age groups. Randomly selected participants were divided into two age groups. In the 16 to 29-year-old group, 7% of the 628 surveyed use online-learning, while 11% of the 2,309 participants 30 years old and older use online learning. (Set 1 for 16-29 year old group; Set 2 for 30 years old and older). Find X2. 

Oc
Question 39
39) Find 2
a. 44
b. 254
C. 628
d. 2309
O a
Question 40
4.5
40) Find the p-value of 2-prop-z-test
a. 0.07
b. 0.11
c. 0.0033
d. 0.1015
&
3
4.
8.
Y
G
C
<0
F.
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Transcribed Image Text:Oc Question 39 39) Find 2 a. 44 b. 254 C. 628 d. 2309 O a Question 40 4.5 40) Find the p-value of 2-prop-z-test a. 0.07 b. 0.11 c. 0.0033 d. 0.1015 & 3 4. 8. Y G C <0 F.
Expert Solution
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Step 1

Given Information:

16 - 29 years old:

Sample size (n1) = 628

Sample proportion (p^1) = 7% = 0.07

30 years old & above:

Sample size (n2) = 2309

Sample proportion (p^2) = 11% = 0.11

 

To find the value of X2:

Sample proportion is given by the formula:

p^=Xn

where, X is the number of successes and n is the sample size.

We need to find the number of successes (number of individuals who use online learning) of set 2 i.e., 30 years and above:

Substitute the values of sample proportion and sample size and solve for X as follows:

p^2=X2n20.11=X22309X2=0.11×2309X2=253.99254

Thus, the value of X2 is 254

 

 

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