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Answer:
A. The value of the sample proportion is 0.4
B. The standard error of the sample proportion is 0.02619
C. 0.3487 ≤ p ≤ 0.4513
Step-by-step explanation:
The value of the sample proportion p' is calculated as:
Where x is the number of success in the sample or the number of students that use a laptop in class to take notes and n is the size of the sample or 350 students.
On the other hand, the standard error SE of the sample proportion is calculated as:
so, replacing the values, we get:
Finally, an approximate 95% confidence interval for the true proportion p is calculate as:
Where 1-α is equal to 95%, so is equal to 1.96. Then, replacing the values we get:
0.4 - 0.0513 ≤ p ≤ 0.4 + 0.0513
0.3487 ≤ p ≤ 0.4513