Construct a 95% confidence interval for the ratio of the two population variances. Provide the numerical value of the Lower Confidence Limit (LCL). Round your answer to four decimal places.
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- The recommended intake for Calcium for adults is 1000 mg per day. A researcher is interested to determine if adults with high income level have more calcium intake than the recommended amount. A hypothesis test is conducted. What is the alternative hypothesis?In an observational study it was found that people who had received the flu shot this year had better blood pressure readings, on average, than people who did not. Can it be claimed that the flu shot is the cause of the lower overall blood pressure? Why or why not?Suppose data shows that only 50% of breast cancer patients can survive more than 5 years. You suspect the percentage is too low, so you'd like to conduct a study to examine this situation. What is the null and alternative hypothesis in this situation?
- Left ventricular mass (LVM) is an important risk factor for subsequentcardiovascular disease. A study is conducted to assess the relationship between the size of LVM in children (as determined from an echocardiogram) and the size of LVM four years later in the same individuals. Does LVM change over time in children? Completely conduct the appropriate hypothesis and list any additional necessary assumptions (you can assume that additional assumptions are met by the data) test with alpha =0.01. i Baseline LVM LVM 4 years later 1 134 126 2 86 142 3 78 111 4 73 82A study is conducted to test a new drug claimed to reduce diastolic blood pressure in adults with a history of coronary heart disease. What is the most efficient study to test whether the drug reduces diastolic blood pressure?If the cost is low, might a very small but statistically significant difference be of practical significance?
- Among individuals who eat a healthy diet and exercise frequently the point prevalence of hypertension is 0.09. Individuals subject to poverty, making it more difficult for them to eat a healthy diet and exercise frequently, have a 0.31 point prevalence for hypertension. What is the risk difference between the two groups? 0.29 0.76 0.78 0.22Iron is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron were developed by an institute of medicine for a certain region. The recommended dietary allowance (RDA) of iron for adult females under the age of 51 years is 17.5 milligrams (mg) per day. A hypothesis test is to be performed to decide whether adult females under the age of 51 years are, on average, getting more than the RDA of 17.5 mg of iron per day. Complete parts (a) through (c). a. Determine the null hypothesis. Ho: H mg (Type an integer or a decimal. Do not round.)Color blindness, or dyschromatopsia, is a form of genetic deficiency in color perception. The condition is much more prevalent among males than females, pointing to a genetic connection with the X chromosome. The frequency of dyschromatopsia in the Caucasian American male population is about 8%. However, it is thought that this proportion might be smaller among males of other ethnicities. We want to estimate the proportion of Asian American males who are color-blind. How large a sample size do we need in order to obtain a 95% confidence interval with a margin of error no greater than 4%, or 0.04? n=__________
- If the odds of catching the flu among individuals who take vitamin C is 0.0342 and the odds of catching the flu among individuals not taking vitamin C is 0.2653, then the individuals not taking vitamin C are 7.7573 times more likely to catch the flu than individuals taking vitamin C.What is null and alternative hypothesis for this case? The U.S. Department of Health monitors fishing waters, to determine if the bacteria count has risen above a maximum safe level of 70.A pharmaceutical company is testing a new drug for a rare disease. In a clinical trial, 1000 patients with the disease were randomly assigned to receive either the new drug or a placebo. After one year, it was found that 60% of the patients who received the new drug experienced improvement, compared to only 40% of those who received the placebo. Is the difference in improvement rates statistically significant? Provide your rationale.