Question

In: Statistics and Probability

Two libraries are comparing their success rate at getting books returned on time. Sample data is...

Two libraries are comparing their success rate at getting books returned on time.

Sample data is as follows:

Library A:    n = 200 books        180 returned on time

Library B:    n = 200 books       160 returned on time

Create a confidence interval at 99% confidence for the difference between the proportion of books returned at library A vs. the proportion of books returned at library B.

Solutions

Expert Solution

Let X1 = Library A and X2 = Library B

99% confidence interval for the difference between the population proportions p1p2 is 0.009 < p < 0.191, which indicates that we are 99% confident that the true difference between population proportions is contained by the interval (0.009 , 0.191).

◆ Confidence Interval Calculation-


Related Solutions

1: Using the two-sample hypothesis test comparing old call time to new call time at a...
1: Using the two-sample hypothesis test comparing old call time to new call time at a .05 level of significance, discuss the hypothesis test assumptions and tests used. Provide the test statistic and p-value in your response. Evaluate the results of the hypothesis test with the scenario. Provide recommendations for the vice president. 2: Using new call time and coded quality, develop a prediction equation for new call time. Evaluate the model and discuss the coefficient of determination, significance, and...
Question 1. Using the two-sample hypothesis test comparing old call time to new call time at...
Question 1. Using the two-sample hypothesis test comparing old call time to new call time at a .05 level of significance, discuss the hypothesis test assumptions and tests used. Provide the test statistic and p-value in your response. Evaluate the results of the hypothesis test with the scenario. Provide recommendations for the vice president. Question 2. Using new call time and coded quality, develop a prediction equation for new call time. Evaluate the model and discuss the coefficient of determination,...
SPSS NEEDED Person is interested in comparing the success of two different mnemonics (memorization methods) on...
SPSS NEEDED Person is interested in comparing the success of two different mnemonics (memorization methods) on performance in a memory task. He assigns students to two groups, one which learns and uses a language-based rhyming memory technique, and one which learns and uses a visual “method of loci” spatial memory technique. He then administers a memory task to each group of students. The students are scored based on the percentage of correct answers. Using this table, enter the data into...
Two fair coins are flipped at the same time. 1) What is the probability of getting...
Two fair coins are flipped at the same time. 1) What is the probability of getting a match (same face on both coins)? Answer for part 1 [The answer should be a number rounded to five decimal places, don't use symbols such as %] 2) What is the probability of getting at least two heads? Answer for part 2 [The answer should be a number rounded to five decimal places, don't use symbols such as %]
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two...
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. Group members took a random sample of 18 toothbrushes from Company A and 15 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 1.74 hours; Company B toothbrushes operated for an average of 120.6 hours...
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two...
A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. Group members took a random sample of 25 toothbrushes from Company A and 20 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 1.74 hours; Company B toothbrushes operated for an average of 120.6 hours...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 5555 type K batteries and a sample of 7272 type Q batteries. The type K batteries have a mean voltage of 9.119.11, and the population standard deviation is known to be 0.6480.648. The type Q batteries have a mean voltage of 9.439.43, and the population standard deviation is known to be 0.2710.271. Conduct a hypothesis test for the conjecture that the mean voltage...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 5555 type K batteries and a sample of 7272 type Q batteries. The type K batteries have a mean voltage of 9.119.11, and the population standard deviation is known to be 0.6480.648. The type Q batteries have a mean voltage of 9.439.43, and the population standard deviation is known to be 0.2710.271. Conduct a hypothesis test for the conjecture that the mean voltage...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 35 type K batteries and a sample of 64 type Q batteries. The type K batteries have a mean voltage of 8.96, and the population standard deviation is known to be 0.511 . The type Q batteries have a mean voltage of 9.21 , and the population standard deviation is known to be 0.719 . Conduct a hypothesis test for the conjecture that...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 4949 type K batteries and a sample of 38 type Q batteries. The type K batteries have a mean voltage of 9.16, and the population standard deviation is known to be 0.669. The type Q batteries have a mean voltage of 9.36, and the population standard deviation is known to be 0.194. Conduct a hypothesis test for the conjecture that the mean voltage...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT