A package delivery service wants to compare the proportion of on-time deliveries for two of its...
A package delivery service wants to compare the proportion of on-time deliveries for two of its major service areas. In City A, 325 out of a random sample of 382 deliveries were on time. A random sample of 264 deliveries in City B showed that 209 were on time.
Calculate the difference in the sample proportion for the delivery times in the two cities.
Calculate the pooled estimate of the sample proportion.
Is the success-failure condition met for this scenario?
Calculate the test statistic for this hypothesis test.
Calculate the p-value for this hypothesis test
Compute a 90% confidence interval for the difference
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A package delivery service wants to compare the proportion of
on-time deliveries for two of its...
A package delivery service wants to compare the proportion of on-time deliveries for two of its...
A package delivery service wants to compare the proportion of on-time deliveries for two of its major service areas. In City A, 303 out of a random sample of 379 deliveries were on time. A random sample of 263 deliveries in City B showed that 200 were on time. 1. Calculate the difference in the sample proportion for the delivery times in the two cities. p^CityA−p^CityB = 2. What are the correct hypotheses for conducting a hypothesis test to determine...
A courier service advertises that its average delivery time is less than 3 hours for deliveries...
A courier service advertises that its average delivery time is less than 3 hours for deliveries in the Vancouver area. The distribution of delivery times is known to be normal, with standard deviation 0.9 hours. A random sample of 15 deliveries yielded a sample mean delivery time of 3.2 hours. Consider a test of the null hypothesis that the population mean is 3 against the one-sided alternative that the population mean delivery time is greater than 3. (a) What is...
An online retailer claims the proportion of on-time deliveries is 85%. To test this claim, a...
An online retailer claims the proportion of on-time deliveries is 85%. To test this claim, a random sample of deliveries are monitored and checked for on-time delivery status. Assume that the test statistic for this hypothesis test is 1.99. Since this is a two tailed hypothesis test, assume that the critical values for this hypothesis test are −1.96 and 1.96. Come to a decision for the hypothesis test and interpret your results with respect to the original claim. Select the...
A recent study of two vendors of desktop personal computers reported that out of 879 units...
A recent study of two vendors of desktop personal computers reported that out of 879 units sold by Brand A, 116 required repair, while out of 749 units sold by Brand B, 127 required repair. Round all numeric answers to 4 decimal places. 1. Calculate the difference in the sample proportion for the two brands of computers, ?̂??????−?̂??????= 3. Calculate the pooled estimate of the sample proportion, ?̂= 4. Is the success-failure condition met for this scenario? A. Yes B....
1. An insurance company selected a random sample of 380 automobile accident reports. Each report was...
1. An insurance company selected a random sample of 380 automobile accident reports. Each report was classified by size of automobile (large or small) and whether or not any of the occupants were killed. The data are shown below. Size of Automobile Small Large Fatal 21 Not fatal 181 139 Total 220 160 Call ps the proportion of all accidents involving small cars in which there is a fatality and Rl the corresponding proportion for large automobiles. (a) Compute the...
(10 points) A recent study of two vendors of desktop personal computers reported that out of...
(10 points) A recent study of two vendors of desktop personal computers reported that out of 858 units sold by Brand A, 118 required repair, while out of 775 units sold by Brand B, 119 required repair. Round all numeric answers to 4 decimal places. 1. Calculate the difference in the sample proportion for the two brands of computers, ParandA- PBrandB 2. What are the correct hypotheses for conducting a hypothesis test to determine whether the proportion of computers needing...
A recent study of two vendors of desktop personal computers reported that out of 877 units...
A recent study of two vendors of desktop personal computers reported that out of 877 units sold by Brand A, 147 required repair, while out of 710 units sold by Brand B, 114 required repair. Round all numeric answers to 4 decimal places. 1. Calculate the difference in the sample proportion for the two brands of computers, p̂ BrandA−p̂ BrandB = 2. What are the correct hypotheses for conducting a hypothesis test to determine whether the proportion of computers needing...
A recent study of two vendors of desktop personal computers reported that out of 898 units sold b...
A recent study of two vendors of desktop personal computers reported that out of 898 units sold by Brand A, 102 required repair, while out of 793 units sold by Brand B, 129 required repair. Round all numeric answers to 4 decimal places. 1. Calculate the difference in the sample proportion for the two brands of computers, p̂ BrandA−p̂ BrandBp^BrandA−p^BrandB = ________ 2. What are the correct hypotheses for conducting a hypothesis test to determine whether the proportion of computers...
Sylvia, a manager of a pizzeria wants to optimize the average delivery time of orders from...
Sylvia, a manager of a pizzeria wants to optimize the average delivery time of orders from the current 35 minutes. To do this, Sylvia overhauls the delivery ordering system and rejigs the delivery routes. After all the changes are implemented, she takes a random sample of 30 delivery orders and yields an average delivery time of 32 minutes. The population standard deviation is known to be 6 minutes. Were these changes successful in reducing the average delivery time of pizza?...
Problem: Proportion of "Cured” Cancer Patients: How Does Canada Compare with Europe? Lung cancer remains the...
Problem: Proportion of "Cured” Cancer Patients: How Does Canada Compare with Europe? Lung cancer remains the leading cause of cancer death for both Canadian men and women, responsible for the most potential years of life lost to cancer. Lung cancer alone accounts for 28% of all cancer deaths in Canada (32%. in Quebec). Most forms of lung cancer start insidiously and produce no apparent symptoms until they are too far advanced. Consequently, the chances of being cured of lung cancer...
A courier service advertises that its average delivery time is less than 3 hours for deliveries in the Vancouver area. The distribution of delivery times is known to be normal, with standard deviation 0.9 hours. A random sample of 15 deliveries yielded a sample mean delivery time of 3.2 hours. Consider a test of the null hypothesis that the population mean is 3 against the one-sided alternative that the population mean delivery time is greater than 3. (a) What is...
1. An insurance company selected a random sample of 380 automobile accident reports. Each report was classified by size of automobile (large or small) and whether or not any of the occupants were killed. The data are shown below. Size of Automobile Small Large Fatal 21 Not fatal 181 139 Total 220 160 Call ps the proportion of all accidents involving small cars in which there is a fatality and Rl the corresponding proportion for large automobiles. (a) Compute the...
(10 points) A recent study of two vendors of desktop personal computers reported that out of 858 units sold by Brand A, 118 required repair, while out of 775 units sold by Brand B, 119 required repair. Round all numeric answers to 4 decimal places. 1. Calculate the difference in the sample proportion for the two brands of computers, ParandA- PBrandB 2. What are the correct hypotheses for conducting a hypothesis test to determine whether the proportion of computers needing...
Sylvia, a manager of a pizzeria wants to optimize the average delivery time of orders from the current 35 minutes. To do this, Sylvia overhauls the delivery ordering system and rejigs the delivery routes. After all the changes are implemented, she takes a random sample of 30 delivery orders and yields an average delivery time of 32 minutes. The population standard deviation is known to be 6 minutes. Were these changes successful in reducing the average delivery time of pizza?...
Problem: Proportion of "Cured” Cancer Patients: How Does Canada Compare with Europe? Lung cancer remains the leading cause of cancer death for both Canadian men and women, responsible for the most potential years of life lost to cancer. Lung cancer alone accounts for 28% of all cancer deaths in Canada (32%. in Quebec). Most forms of lung cancer start insidiously and produce no apparent symptoms until they are too far advanced. Consequently, the chances of being cured of lung cancer...
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