1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
miskamm [114]
3 years ago
14

A market research firm conducts telephone surveys with a 50% historic response rate. suppose a sample of 400 is taken. what is t

he probability that the sample proportion will be at least 0.475?
Mathematics
1 answer:
solmaris [256]3 years ago
4 0
N=400
sample proportion >= .475 => n>=.475N=190
mean response rate of population, p=0.5
Problem satisfies criteria for binomial distribution, where
P(x>=190)=sum P(x=i), i=190 to 400
This can be obtained from binomial distribution tables, calculators, or software as 
P(x>=190)=1-P(x<190)=1-0.14685=0.85315

Alternatively, normal approximation can be used.
mean=Np=400*.5=200
variance=Npq=400(.5)(1-.5)=100
standard deviation=sqrt(variance)=sqrt(100)=10
Calculate P(X>=190)=1-P(X<190)
X with continuity correction = 189.5
Z=(X-mean)/standard deviation=(189.5-200)/10=-1.05
P(z<Z)=P(z<-1.05)=0.14686 (from normal probability tables)
hence
P(X>=190)=1-P(X<190)=1-P(z<-1.05)=1-0.14686=0.85314 (approximately)

almost same as the exact binomial solution.

You might be interested in
A rectangle has an area of 40 sq units , then length is 6 units greater than the width
devlian [24]

Answer:

A=L*W

Let w be width

L=(w+6)

40=(w+6)*w

40= w^{2} +6w

w^{2} +6w-40=0

w^{2}+10w-4w-40=0  

w(w+10)-4(w+10)=0

(w-4)(w+10)=0

w=4

Length= 10 units

Width=4 units

Step-by-step explanation:

6 0
3 years ago
Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation
Anestetic [448]

Answer:

27 hours

Step-by-step explanation:

Just do the reverse. 65-11 = 54. 54 / 2 = 27.

5 0
3 years ago
A single, standard number cube is tossed. What is the probability of getting a 4 or a 5?
jok3333 [9.3K]

Answer:

c) 1/3

Step-by-step explanation:

since there are 6 sides to the dice and 2 options could be chosen= 2/6 and that simplified is 1/3

5 0
3 years ago
Read 2 more answers
Formula for a prism i am in need of help please help me
LenaWriter [7]
V=1/2a*c*h this is to solve the volume of a prism
4 0
3 years ago
Dividing Mixed fractions
Komok [63]
First you would make the mixed fractions into improper fraction by multiplying the denominator and the whole number, then adding the numerator. Then you would flip the second fraction and multiply. 
Ex. 1 1/2 ÷1 1/2
1st. 3/2÷3/2
2nd: 3/2×2/3
3rd 3/2x2/3=1
6 0
3 years ago
Other questions:
  • Maggie has a ribbon 27 feet long.What is the length of the ribbon in yards?
    5·2 answers
  • Solve each equation 4y-x=16
    7·1 answer
  • Determine the value of the unknown 374=11(2n+8) ​
    12·2 answers
  • Evaluate 9 - 3 * 2 + 4.
    7·2 answers
  • What faction of the girls in the class have long brown hair and green hair? 3/4 of the girls have brown hair,3/4 of the girls ha
    6·1 answer
  • In AKLM, the measure of ZM=90°, the measure of ZL=76°, and LM = 99 feet. Find
    13·1 answer
  • Please please please help! I can Venmo you too if needed
    11·2 answers
  • Latoya's softball team won 75%, or 18, of its game. Define a variable. Write and solve an equations to determine the number of g
    9·2 answers
  • I’ll make brainliest
    9·2 answers
  • Solve for d.<br> 85 = 5(d − 68)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!