Question

5) If it is appropriate to do so, use the normal approximation to the  p^-distribution to calculate...

5) If it is appropriate to do so, use the normal approximation to the  p^-distribution to calculate the indicated probability:

n=60,p=0.40n=60,p=0.40

P( p̂  < 0.50)= ?

Enter 0 if it is not appropriate to do so.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution

Given that,

p = 0.40

1 - p = 1 -0.40 =0.60

n = 60

= p =0.40

=  [p ( 1 - p ) / n] =   [(0.40*0.60) / 60 ] = 0.063245553

P( <0.50 ) =

= P[( - ) / < (0.50 -0.40) /0.063245553 ]

= P(z < 1.58)

Using z table,   

=0.9429

probability=0.9429

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If it is appropriate to do so, use the normal approximation to the  p^  p^ -distribution to calculate...
If it is appropriate to do so, use the normal approximation to the  p^  p^ -distribution to calculate the indicated probability: Standard Normal Distribution Table n=80,p=0.715n=80,p=0.715 P( p̂  > 0.75)P( p̂  > 0.75) = Enter 0 if it is not appropriate to do so. Please provide correct answer. thanks
If it is appropriate to do so, use the normal approximation to the  p^  p^ -distribution to calculate...
If it is appropriate to do so, use the normal approximation to the  p^  p^ -distribution to calculate the indicated probability: n=80,p=0.715 P(p>0.75)=?
1. A sampling distribution of the mean has a mean  μ  X̄ =45 μ  X̄ =45 and a standard...
1. A sampling distribution of the mean has a mean  μ  X̄ =45 μ  X̄ =45 and a standard error  σ  X̄ =7 σ  X̄ =7 based on a random sample of n=15.n=15. a. What is the population mean? b. What is the population standard deviation? Round to two decimal places if necessary 2. If it is appropriate to do so, use the normal approximation to the  p^  p^ -distribution to calculate the indicated probability: Standard Normal Distribution Table n=80,p=0.715n=80,p=0.715 P( p̂  > 0.75)P( p̂  > 0.75) = Enter 0...
The normal approximation of the binomial distribution is appropriate when np ≥ 5. n(1 − p)...
The normal approximation of the binomial distribution is appropriate when np ≥ 5. n(1 − p) ≥ 5. np ≤ 5. n(1 − p) ≤ 5 and np ≤ 5. np ≥ 5 and n(1 − p) ≥ 5.
Determine if the conditions required for the normal approximation to the binomial are met. If so,...
Determine if the conditions required for the normal approximation to the binomial are met. If so, calculate the test statistic, determine the critical value(s), and use that to decide whether there is sufficient evidence to reject the null hypothesis or not at the given level of significance. H0 : p=0.139H0 : p=0.139 H1 : p < 0.139H1 : p < 0.139 xn α =5=80=0.025x=5n=80 α =0.025 Standard Normal Distribution Table a. Calculate the test statistic. z=z= Round to two decimal...
A binomial distribution has p? = 0.26 and n? = 76. Use the normal approximation to...
A binomial distribution has p? = 0.26 and n? = 76. Use the normal approximation to the binomial distribution to answer parts ?(a) through ?(d) below. ?a) What are the mean and standard deviation for this? distribution? ?b) What is the probability of exactly 15 ?successes? ?c) What is the probability of 14 to 23 ?successes? ?d) What is the probability of 11 to 18 ?successes
The normal approximation of the binomial distribution is appropriate when: A. np 10 B. n(1–p) 10...
The normal approximation of the binomial distribution is appropriate when: A. np 10 B. n(1–p) 10 C. np ≤ 10 D. np(1–p) ≤ 10 E. np 10 and n(1–p) 10
a)Use a normal approximation to find the probability of the indicated number of voters. In this​...
a)Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 111 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted.Probability that fewer than 29 voted. The probability that fewer than 29 of 111 eligible voters voted is ___ Round to 4 decimal points. b)If np ≥5 and nq ≥​5, estimate P(at least 8) with n equals=13 and p...
Consider a population proportion p = 0.88. a-1. Calculate the expected value and the standard error...
Consider a population proportion p = 0.88. a-1. Calculate the expected value and the standard error of P−P− with n = 30. a-2. Is it appropriate to use the normal distribution approximation for P−P− ? b-1. Calculate the expected value and the standard error of P−P− with n = 60. b-2. Is it appropriate to use the normal distribution approximation for P−P− ?
1. Normal Approximation to Binomial Assume n = 10, p = 0.1. a. Use the Binomial...
1. Normal Approximation to Binomial Assume n = 10, p = 0.1. a. Use the Binomial Probability function to compute the P(X = 2) b. Use the Normal Probability distribution to approximate the P(X = 2) c. Are the answers the same? If not, why?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT