Exam 7: Hypothesis Testing With One Sample

For the next questions, find the P-value using the given information -With .

For the next questions, find the P-value using the given information -For the next four years, medical researchers are following 4,500 randomly selected healthy women who have a high risk of developing breast cancer. The study of women in the U.S., Canada, and Spain is to examine whether Aromasin, a drug made by Pfizer, can prevent breast cancer. They claim that the proportion of women taking Aromasin who develop breast cancer will be less than 33%. Find the critical value z assuming application of a normal distribution.

For the next questions, find the P-value using the given information -With .

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume a simple random sample has been taken, the population standard deviation is known, and the population is normally distributed. At a dam in Oregon, fisheries biologists are studying the length of the pikeminnow fish to investigate the population structure of resident fish. They collect a sample of 60 pikeminnow and find that the mean length is 15 inches. Assume the population standard deviation is known from a previous study to be 1.5 inches. Use a .05 significance level to test the claim that the pikeminnow have a mean length greater than 14 inches. -Identify the null hypothesis and alternative hypothesis.

Determine which is the appropriate approach to conduct a hypothesis test. -Claim: The mean RDA of sodium is 2400mg. Sample data: , s = 550 . The sample data appear to come from a normally distributed population.

For the next questions, test the given claim using the P-value method for hypothesis testing about a proportion. Assume a simple random sample has been taken, the conditions for a binomial distribution are satisfied, and the sample proportions can be approximated by a normal distribution. In order to evaluate patient response to a course of therapy to treat brain tumors, a sample of 300 patients revealed that 96 patients were responsive to a certain course of treatment. Test the claim that more than 30% of patients with brain tumors were responsive to treatment. Use a .01 significance level. -Identify the null hypothesis and alternative hypothesis.

For the next questions, test the given claim using the traditional method for hypothesis testing about a standard deviation. Assume that a simple random sample has been taken and the population is normally distributed. According to the U.S. Department of Agriculture, imports of Canadian grown potatoes have depressed U.S. sales of potatoes during the last six years. From this sample, the standard deviation is 2.07. Assume we know from the past, the population standard deviation of sales was .79. Use a .05 significance level to test the claim that U.S. potato sales have more variation in the last six years than in the past. -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

For the next questions, find the P-value using the given information -With

For the next questions, test the given claim using the traditional method for hypothesis testing about a standard deviation. Assume that a simple random sample has been taken and the population is normally distributed. According to the U.S. Department of Agriculture, imports of Canadian grown potatoes have depressed U.S. sales of potatoes during the last six years. From this sample, the standard deviation is 2.07. Assume we know from the past, the population standard deviation of sales was .79. Use a .05 significance level to test the claim that U.S. potato sales have more variation in the last six years than in the past. -Identify the test statistic.

Identify the Type I error. -The standard deviation of the diameter at breast height, or DBH, of the slash pine tree is less than one inch.

For the next questions, test the given claim using the P-value method for hypothesis testing about a proportion. Assume a simple random sample has been taken, the conditions for a binomial distribution are satisfied, and the sample proportions can be approximated by a normal distribution. In order to evaluate patient response to a course of therapy to treat brain tumors, a sample of 300 patients revealed that 96 patients were responsive to a certain course of treatment. Test the claim that more than 30% of patients with brain tumors were responsive to treatment. Use a .01 significance level. -Identify the P-value and level of significance.

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed. Biologists are investigating if their efforts to prevent erosion on the bank of a stream have been statistically significant. For this stream, a narrow channel width is a good indicator that erosion is not occurring. Test the claim that the mean width of ten locations within the stream is more than 3.7 meters. Use a .05 significance level and the following sample data: -Identify the null hypothesis and alternative hypothesis.

Find the critical value z assuming application of a normal distribution. -In a lawsuit challenging Kraft Foods, General Mills, and Kellogg, a consumer alleges that they are misrepresenting the nutritional advantages of "low sugar" cereals. The suit states that although the amount of sugar in their "low sugar" cereals is reduced, the total amount of carbohydrates has not been reduced. The claim states that the mean amount of total carbohydrates in the "low sugar" cereals is equal to 25 grams. Find the critical value z assuming application of a normal distribution.

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed. The Common Murre population of birds became endangered in California due to an oil spill. Biologists want to know if their efforts to restore the colony have been successful. Since the breeding colony of birds is site dependent, the mean number of breeding pairs of Common Murres were observed at a specific rock known to be a breeding site. Test the claim that the mean number of breeding pairs of the Common Murre is greater than 400. Use a .05 significance level and the following raw data collected from seven days of observations: -Identify the null hypothesis and alternative hypothesis.

For the next questions, test the given claim using the P-value method for hypothesis testing about a proportion. Assume a simple random sample has been taken, the conditions for a binomial distribution are satisfied, and the sample proportions can be approximated by a normal distribution. In order to track the percentage of misdiagnoses by Emergency Room doctors, a sample of 900 patients revealed that 45 patients were misdiagnosed with indigestion instead of a heart attack. Test the claim that physicians misdiagnose less than 6% of heart attacks. Use a .01 significance level. -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume a simple random sample has been taken, the population standard deviation is known, and the population is normally distributed. Medical researchers evaluating a drug for Multiple Sclerosis found in a sample of 500 patients that the mean number of relapses was 165. Assume the population standard deviation is known from a previous study to be 50. Use a .05 significance level to test the claim that the drug has a mean number of relapses less than 170. -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

For the next questions, test the given claim using the traditional method for hypothesis testing about a standard deviation. Assume that a simple random sample has been taken and the population is normally distributed. Health care administrators at Atlanta area hospitals are investigating whether the quality of care given to pneumonia patients varies less than the United States hospital population standard deviation of 16. From a sample of nine Atlanta area hospitals, they found the portion of pneumonia patients who were given initial antibiotics within the first four minutes of arrival had a standard deviation of 10. Use a .05 significance level to test the claim that Atlanta area hospitals have less variation in the quality of care given to pneumonia patients than United States hospitals. -Identify the test statistic.

For the next questions, test the given claim using the P-value method for hypothesis testing about a mean. Assume that a simple random sample has been taken, the population standard deviation is not known, and the population is normally distributed. The Common Murre population of birds became endangered in California due to an oil spill. Biologists want to know if their efforts to restore the colony have been successful. Since the breeding colony of birds is site dependent, the mean number of breeding pairs of Common Murres were observed at a specific rock known to be a breeding site. Test the claim that the mean number of breeding pairs of the Common Murre is greater than 400. Use a .05 significance level and the following raw data collected from seven days of observations: -Identify the P-value and level of significance.

For the next questions, test the given claim using the traditional method for hypothesis testing about a standard deviation. Assume that a simple random sample has been taken and the population is normally distributed. Health care administrators at Atlanta area hospitals are investigating whether the quality of care given to pneumonia patients varies less than the United States hospital population standard deviation of 16. From a sample of nine Atlanta area hospitals, they found the portion of pneumonia patients who were given initial antibiotics within the first four minutes of arrival had a standard deviation of 10. Use a .05 significance level to test the claim that Atlanta area hospitals have less variation in the quality of care given to pneumonia patients than United States hospitals. -State a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

Find the value of the test statistic z using the following information. -An environmental non-profit group collected a sample of 200 juvenile salmon from a created wetland to test whether the population of fish is eating less than 40% Chironomids, a type of fly. After flushing the contents of the stomachs, they find that the sample of juvenile salmon is eating 38% Chironomids. For the next two questions, find the P-value using the given information.