Answer:
x = 14
Step-by-step explanation:
Step 1: First, Simplify the fraction.

Step 2: Next, Multiply both sides by 7.
4x = 8 × 7
Step 3: Simplify 8 × 7 to 56.
4x = 56
Step 4: Then, Divide both sides by 4.

Step 5: Lastly, Simplify the fraction and you're done!
x = 14
Answer:
a. n=4148
b. n=3909
c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239
Step-by-step explanation:
a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:

Where:
Margin of error
is the assumed proportion
#Let p=0.5, substitute in the formula to solve for n:

Hence, the minimum sample size is 4148
b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:

Hence, the minimum sample size is 3909
c. Comparing the sample sizes from a and b:

Hence, the actual sample size is smaller for a known proportion from prior a prior study.
Answer:
Answer: D (3 or 4)
Step-by-step explanation: