Question

In: Statistics and Probability

Suppose a large shipment of stereos contained 3% defectives. If a sample of size 396 is...

Suppose a large shipment of stereos contained 3% defectives. If a sample of size 396 is selected, what is the probability that the sample proportion will be greater than 5%? Round your answer to four decimal places.

Solutions

Expert Solution

p = 0.03

n = 396

                           

                            = P(Z > 2.33)

                            = 1 - P(Z < 2.33)

                            = 1 - 0.9901

                            = 0.0099


Related Solutions

Suppose a large shipment of microwave ovens contained 4% defectives. If a sample of size 362...
Suppose a large shipment of microwave ovens contained 4% defectives. If a sample of size 362 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%? Round your answer to four decimal places.
Suppose a large consignment of cameras contained 6% defectives. If a sample of size 226 is...
Suppose a large consignment of cameras contained 6% defectives. If a sample of size 226 is selcted what is the probablity that the sample proportion will differ from the population proportion by less than 3%? Round answer to four decimal places
Suppose that the proportion θ of defective items in a large shipment is unknown, and that...
Suppose that the proportion θ of defective items in a large shipment is unknown, and that the prior distribution of θ is a beta distribution for which the parameters are α = 2 and β = 200. If 100 items are selected at random from the shipment and if three of these items are found to be defective, what is the posterior distribution of θ?
Businesses often sample products to test the proportion of defectives. Suppose a company that assemble automobiles...
Businesses often sample products to test the proportion of defectives. Suppose a company that assemble automobiles wants to check the quality of batteries it buys from a supplier. Out of each shipment of 1,000 batteries, they will take a sample of 10 and test them. Assuming that, in fact, 2% of the batteries are defective, how likely are they to reject a shipment? Generate the binomial table (Even though it may seem illogical, consider a defective to be a ‘success’...
How does a large sample size affect statistical power? How does the large sample size affect...
How does a large sample size affect statistical power? How does the large sample size affect your interpretation of these particular results?
Suppose that a sample of size 3 is drawn from a population consisting of the six...
Suppose that a sample of size 3 is drawn from a population consisting of the six values 4, 8, 5, 3, 8, and 4, and that the proportion of values that are greater than 4 is recorded. Find the sampling distribution of this statistic by listing all possible such samples of size 3. Find the mean and variance of the sampling distribution.
A retailer discovers that 3 jars from his last shipment of Spiffy peanut butter contained between...
A retailer discovers that 3 jars from his last shipment of Spiffy peanut butter contained between 15.85 and 15.92 oz of peanut butter, despite the labeling indicating that each jar should contain 16 oz. of peanut butter. He is wondering if Spiffy is cheating its customers by filling its jars with less product than advertised. He decides to measure the weight of 50 jars from the shipment and use hypothesis testing to verify this. (a) What are the null and...
A retailer discovers that 3 jars from his last shipment of Spiffy peanut butter contained between...
A retailer discovers that 3 jars from his last shipment of Spiffy peanut butter contained between 15.85 and 15.92 oz of peanut butter, despite the labeling indicating that each jar should contain 16 oz. of peanut butter. He is wondering if Spiffy is cheating its customers by filling its jars with less product than advertised. He decides to measure the weight of 50 jars from the shipment and use hypothesis testing to verify this. (a) What are the null and...
A retailer discovers that 3 jars from his last shipment of Spiffy peanut butter contained between...
A retailer discovers that 3 jars from his last shipment of Spiffy peanut butter contained between 15.85 and 15.92 oz of peanut butter, despite the labeling indicating that each jar should contain 16 oz. of peanut butter. He is wondering if Spiffy is cheating its customers by filling its jars with less product than advertised. He decides to measure the weight of 50 jars from the shipment and use hypothesis testing to verify this. (a) What are the null and...
A retailer discovers that 3 jars from his last shipment of Spiffy peanut butter contained between...
A retailer discovers that 3 jars from his last shipment of Spiffy peanut butter contained between 15.85 and 15.92 oz of peanut butter, despite the labeling indicating that each jar should contain 16 oz. of peanut butter. He is wondering if Spiffy is cheating its customers by filling its jars with less product than advertised. He decides to measure the weight of 50 jars from the shipment and use hypothesis testing to verify this. (a) Should the null hypothesis be...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT