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:
- 64%: 1024
- 96%: 1536
- 132%: 2112
- 232%: 3712
Step-by-step explanation:
<u>64% of 1600</u>
64% of 1600 = 2 × (32% of 1600) = 2×512
64% of 1600 = 1024
<u>96% of 1600</u>
96% of 1600 = 3 × (32% of 1600) = 3×512
96% of 1600 = 1536
<u>132% of 1600</u>
132% of 1600 = (100% of 1600) + (32% of 1600) = 1600 + 512
132% of 1600 = 2112
<u>232% of 1600</u>
232% of 1600 = (100% of 1600) + (132% of 1600) = 1600 +2112
232% of 1600 = 3712
Answer:
90 pages
Step-by-step explanation:
30% complete
70% to go = 63 pages
t = total number of pages
0.7t = 63
∴ t = ⁶³/₀.₇
⁶³/₀.₇ = 90
Answer:
the perimeter of rectangle is 52cm if two adjacent sides are (2×+3)cm and (×+5)cm
Answer:
18:12 (accurate)
3:2 (simplified)
Step-by-step explanation:
The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:
30 - 18 = 12
The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:
won:lost ⇒ 18:12
18:12 is the ratio.
If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:
(18)/6 : (12)/6
3:2
3:2 is your simplified ratio.
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