Question

In: Math

What are the approximate probabilities for the following situations for a random sample of 1000 individuals who have purchased fries at McDonald's?


In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its french fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that 97 out of 100 people cannot detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what are the approximate probabilities for the following situations for a random sample of 1000 individuals who have purchased fries at McDonald's? (If necessary, use the normal approximation to binomial, NOT the sampling distribution of p.) 


(a) At least 43 can taste the difference between the two oils? (Round your answer to four decimal places.) 

(b) At most 6% can taste the difference between the two oils? (Round your answer to four decimal places.)

Solutions

Expert Solution

milcah answered 2 years ago
Next > < Previous

Related Solutions

Find the probability (approximate) in the following cases: a) Of 1000 random digits, 7 does not...
Find the probability (approximate) in the following cases: a) Of 1000 random digits, 7 does not appear more than 968 times b) Rolling 12000 a die, the number of six is ​​between 1900 and 2150. c) In 182 days, the number of units demanded of a certain product exceeds 6370 units (Note: the daily demand of the product has average 30 and standard deviation 6, and the independence of the demand of each day is assumed with respect to the...
A simple random sample of size n=300 individuals who are currently employed is asked if they...
A simple random sample of size n=300 individuals who are currently employed is asked if they work at home at least once per week. Of the 300 employed individuals​ surveyed, 27 responded that they did work at home at least once per week. Construct a​ 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.
A simple random sample of size n=300 individuals who are currently employed is asked if they...
A simple random sample of size n=300 individuals who are currently employed is asked if they work at home at least once per week. Of the 300 employed individuals​ surveyed, 38 responded that they did work at home at least once per week. Construct a​ 99% confidence interval for the population proportion of employed individuals who work at home at least once per week. The lower bound is The upper bound is ​(Round to three decimal places as​ needed.)
A random sample of 1000 eligible voters is drawn. Let X = the number who actually...
A random sample of 1000 eligible voters is drawn. Let X = the number who actually voted in the last election. It is known that 60% of all eligible voters did vote. a) Find the approximate probability that 620 people in the sample voted, and b) Find the approximate probability that more than 620 people in the sample voted.
A simple random sample of size n equals 400 individuals who are currently employed is asked...
A simple random sample of size n equals 400 individuals who are currently employed is asked if they work at home at least once per week. Of the 400 employed individuals​ surveyed, 34 responded that they did work at home at least once per week. Construct a​ 99% confidence interval for the population proportion of employed individuals who work at home at least once per week. The upper bound is (Round to three decimal places as​ needed.)
1. A simple random sample of size n equals 350 individuals who are currently employed is...
1. A simple random sample of size n equals 350 individuals who are currently employed is asked if they work at home at least once per week. Of the 350 employed individuals​ surveyed, 32 responded that they did work at home at least once per week. Construct a​ 99% confidence interval for the population proportion of employed individuals who work at home at least once per week. QUESTION- what is the lower and upper bound 2. A simple random sample...
The proportion of individuals with an Rh-positive blood type is 84%. You have a random sample...
The proportion of individuals with an Rh-positive blood type is 84%. You have a random sample of n = 500 individuals. (a) What are the mean and standard deviation of p̂, the sample proportion with Rh-positive blood type? (Round your standard deviation to four decimal places.) (b) Is the distribution of p̂ approximately normal? Justify your answer. (c) What is the probability that the sample proportion p̂ exceeds 80%? (Round your answer to four decimal places.) (d) What is the...
A simple random sample of size n equals n=400 individuals who are currently employed is asked...
A simple random sample of size n equals n=400 individuals who are currently employed is asked if they work at home at least once per week. Of the 400 employed individuals​ surveyed, 40 responded that they did work at home at least once per week. Construct a​ 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.
1.A researcher collects a sample of 30 individuals who have a mean age of 34.6, a...
1.A researcher collects a sample of 30 individuals who have a mean age of 34.6, a median age of 41.5, and a modal age of 44. Make one observation regarding the nature of the distribution of data that the researcher collected.  What would be the best measure of central tendency to use in describing a distribution of this form?  Whydid you choose the measure of central tendency that you did? 2.A statistician computes a 95% confidence interval for the number of prior...
A simple random sample of 400 individuals provides 148 Yes responses. (a) What is the point...
A simple random sample of 400 individuals provides 148 Yes responses. (a) What is the point estimate of the proportion of the population that would provide Yes responses? 0.37 Correct: Your answer is correct. (b) What is your estimate of the standard error of the proportion, σp? _________ (Round your answer to four decimal places.) (c) Compute the 95% confidence interval for the population proportion. (Round your answers to four decimal places.) ______ to ______?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT