Complete Question:
A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
Answer:
A) 0.61351
Step-by-step explanation:
Sample proportion = 0.4
Sample population = 200
A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion
Statistically:
P(0.4-0.03<p<0.4+0.03)
P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200
P[-0.03/0.0346410 < z < 0.03/0.0346410
P(−0.866025 < z < 0.866025)
P(z < - 0.8660) - P(z < 0.8660)
0.80675 - 0.19325
= 0.61351
B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion
Statistically:
P(0.4-0.08<p<0.4+0.08)
P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200
P[-0.08/0.0346410 < z < 0.08/0.0346410
P(−2.3094 < z < 2.3094)
P(z < -2.3094 ) - P(z < 2.3094)
0.98954 - 0.010461
= 0.97908
15 divided by 6 = 2.5 so to check your answer add 2.5 15 times
Answer:
If 3Tbs = 2 dozen cookies (24) u would need 1.5 more Tbs to make 3 dozen cookies
To get Tbs u would take 3+1.5=4.5 Tbs
2y-7>15
2y> 15+7
2Y > 22
2Y/2>22/2
y > 11
put any number below 11 in the left side it will be less then 15
2x-5> 1
2x > 1 +5
2x > 6
2x/2 > 6/2
x > = 3
put 3 instead of x in the left side it will be equal to the right side or put anything less then 3 then the left side will be less then 1
2x+5>1
2x > 1-5
2x > -4
2x/2>-4/2
x> -2
put -2 instead of x it will be equal to the right side anything less then -2 then it will be less the the right side
