Answer: 24
Step-by-step explanation:
We can solve this problem by referring to the standard
probability distribution tables for z.
We are required to find for the number of samples given the
proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value
of z equivalent to:
z = 1.96
Since the problem states that it should be within the true
proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
<span> p = 0.5</span>
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
<span>Around 385students are required.</span>
Answer:
= 8
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
Here a = 8 and r = - 24 ÷ 8 = - 3, thus
= 8
2/5 X 100 = 200/5= 40 percent