For a mortality study of insurance applicants in two countries, you are given: (i) Country B Y, Country A d, Y, 0, d, 1 20 200 0.05 15 100 0.10 2 54 180 0.10 20 85 0.10 3 14 126 0.15 20 65 0.10 4 22 112 0.20 10 45 0.10 Y, is the number at risk over the period (t-1,4). Deaths during the period (t-1,4) a assumed to occur at t,. (ii) 0, is the reference hazard rate over the period (t-1,4,). Within a country, 0, is the same for all study participants. (ii) (iv) s" (t) is the Product-Limit estimate of S(t) based on the data for all study participants. (v) S(t) is the Product-Limit estimate of S(t) based on the data for study participants in Country B. Determine s"(4)– s®(4) .
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- Consider the CAPM. The risk-free rate is 6% and the expected return on the market is 18%. What is the expected return on a stock with a beta of 1.3 when market is efficient?A researcher has developed a new drug designed to reduce blood pressure. In an experiment, 22 subjects were assigned randomly to the treatment group and received the new experimental drug. The other 24 subjects were assigned to the control group and received a standard, well-known treatment. After a suitable period, the reduction in blood pressure for each subject was recorded. A summary of these data is: nn x¯x¯ ss Treatment group (new drug) 22 23.48 8.01 Control group (old drug) 24 18.52 7.15 Without using software, how would you estimate the number of degrees of freedom for this problem? Select one: use the larger value, 23, chosen from the two options 21 and 23 use the smaller value, 22, chosen from the two options 22 and 24 use the larger value, 24, chosen from the two options 22 and 24 use the smaller value, 21, chosen from the two options 21 and 23If I am conducting a one-tailed z test and my risk is 1% what should my critical value be?
- 1) In the largest clinical trial ever conducted, 401,974 children were randomly assigned to twogroups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, andthe other 200,745 children were given a placebo. Among those in the treatment group, 33developed polio, and among those in the placebo group, 115 developed polio. a. If we want to use the methods of this section to test the claim that the rate of polio isless for children given the Salk vaccine, are the requirements for a hypothesis testsatisfied? b. Identify the values of ?1, ?1(hat), ?1(hat), ?2, ?̂2, ?2(hat), ?̅,?(bar). Round all values so that they havesix significant digits. c. Identify the null and alternative hypotheses. d. If the P-value for the test is reported as “less than 0.0001,” what should we concludeabout the original claim?A physician wants to test if temperature has an effect on heart rate. In order to do this, she compares the heart rates in beats per minute of several random volunteers after a period of time in a room with a temperature of 50∘F and after a period of time in a room with a temperature of 75∘F. Suppose that data were collected for a random sample of 11 volunteers, where each difference is calculated by subtracting the heart rate in beats per minute in the 50∘F room from the heart rate in beats per minute in the 75∘F room. Assume that the populations are normally distributed. The physician uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is computed as t≈5.627, which has 10 degrees of freedom. What range contains the p-value?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.
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- We have a sample of 2,400 geriatric patients who are in an assisted living home, of which 1,200 participated in a new preventative Drug A. Rates of UTIs tend to be higher than average among this population. As part of a preventative and treatment intervention, we are examining the performance of several drugs: Preventative Drug (before the onset of UTI) Drug A: preventative UTI drug taken daily in hopes to prevent the growth of bacteria that causes UTIs Treatment Drugs (after the onset of UTI) Drug B: New antibiotic for treating UTIs Drug C: Conventional antibiotic for treating UTIs Information for how many patients took each drug or combination of drugs is summarized below in the two tables. Use these to answer questions a) -d) Table 1. Summary of performance of drug A: UTI rates among those taking and not taking drug A Did not take Drug A Did take Drug A Total UTI 759 887 1646 No UTI 441 312 753 Total 1200 1200 2400 Table 2. Summary of performance of drug B and C: recovery…We plan to run a two-tailed t-test. Our sample size is 8, and we've decided upon an alpha level of 0.01. From the t-table, what is the t critical value(s)?In Table 11.2 the estimated coefficient on black is 0.084 in column (1),0.688 in column (2), and 0.389 in column (3). In spite of these large differences, all three models yield similar estimates of the marginal effect of race on the probability of mortgage denial. How can this be?