Question

Based on historical data, your manager believes that 28% of the company's orders come from first-time...

Based on historical data, your manager believes that 28% of the company's orders come from first-time customers. A random sample of 175 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.22?



Answer =  (Enter your answer as a number accurate to 4 decimal places.)

Homework Answers

Answer #1

solution:

Given data

population Proportion (P) = 28% = 0.28

Sample size(n) = 175

Consider the sampling distribution of sample proportion follows normal distribution

So,Here Mean (p) = P = 0.28

Standard deviation (p) =

=

= 0.0339

Probability that sample proportion is greater than 0.22 = P( > 0.22)

=

=

= P(Z>-1.77)

= P(Z<1.77) [since , P(Z>-k) = P(Z<k) ]

= 0.9616 [ using standard normal distribution table ]

Probability that sample proportion is greater than 0.22 = 0.9616

  

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Based on historical data, your manager believes that 28% of the company's orders come from first-time...
Based on historical data, your manager believes that 28% of the company's orders come from first-time customers. A random sample of 154 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.44? Answer = (Enter your answer as a number accurate to 4 decimal places.)
Based on historical data, your manager believes that 28% of the company's orders come from first-time...
Based on historical data, your manager believes that 28% of the company's orders come from first-time customers. A random sample of 139 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.28 and 0.44? Answer =  (Enter your answer as a number accurate to 4 decimal places.)
Based on historical data, your manager believes that 28% of the company's orders come from first-time...
Based on historical data, your manager believes that 28% of the company's orders come from first-time customers. A random sample of 153 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.41?
Based on historical data, your manager believes that 33% of the company's orders come from first-time...
Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 245 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.22 and 0.39? (Enter your answer as a number accurate to 4 decimal places.)
Based on historical data, your manager believes that 38% of the company's orders come from first-time...
Based on historical data, your manager believes that 38% of the company's orders come from first-time customers. A random sample of 97 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.25 and 0.45? Answer = (Enter your answer as a number accurate to 4 decimal places.)
Based on historical data, your manager believes that 25% of the company's orders come from first-time...
Based on historical data, your manager believes that 25% of the company's orders come from first-time customers. A random sample of 165 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.32?
Based on historical data, your manager believes that 27% of the company's orders come from first-time...
Based on historical data, your manager believes that 27% of the company's orders come from first-time customers. A random sample of 79 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.3? Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations. Answer =  (Enter your answer as a number accurate to 4 decimal places.)
Based on historical data, your manager believes that 27% of the company's orders come from first-time...
Based on historical data, your manager believes that 27% of the company's orders come from first-time customers. A random sample of 152 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.33?
Based on historical data, your manager believes that 31% of the company's orders come from first-time...
Based on historical data, your manager believes that 31% of the company's orders come from first-time customers. A random sample of 128 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32? Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations. Answer = (Enter your answer as a number accurate to 4 decimal places.)
Based on historical data, your manager believes that 32% of the company's orders come from first-time...
Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 178 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.29? Note: You should carefully round any z-values you calculate to 4 decimal places to match wamap's approach and calculations. Answer =  (Enter your answer as a number accurate to 4 decimal places.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT