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.
Given Information:
16 - 29 years old:
Sample size () = 628
Sample proportion () = 7% = 0.07
30 years old & above:
Sample size () = 2309
Sample proportion () = 11% = 0.11
To find the value of :
Sample proportion is given by the formula:
where, is the number of successes and 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:
Thus, the value of is 254
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