A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 306 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 252 had no visible scars after treatment. Another random sample of n2 = 428 patients with minor burns received no plasma compress treatment. For this group, it was found that 105 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let p2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limit upper limitarrow_forwardAt Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of n1 = 304 patients with minor burns received the plasma compress treatment. Of these patients, it was found that 254 had no visible scars after treatment. Another random sample of n2 = 414 patients with minor burns received no plasma compress treatment. For this group, it was found that 93 had no visible scars after treatment. Let p1 be the population proportion of all patients with minor burns receiving the plasma compress treatment who have no visible scars. Let P2 be the population proportion of all patients with minor burns not receiving the plasma compress treatment who have no visible scars. (a) Find a 90% confidence interval for Pi – P2. (Round your answers to three decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval found in part (a) in the context of the problem. Does the interval contain numbers that are all positive? all…arrow_forwardhave 15mins help ASAP!arrow_forward
- Suppose P(A) = .5 and P(B) = .3 and A andB are independent. What is P(A and B)? %D %3Darrow_forwardIn 1973, only 8% of the students in the city school district were classified as being learning disabled. A school psychologist suspects that the proportion of learning-disabled children has increased dramatically over the years. To demonstrate this point, a random sample of n = 13 students is selected. In this sample there are 3 students who have been identified as learning-disabled. You will use this information to determine if the sample indicates a change in the proportion of learning-disabled students at a 0.02 level of significance. Part 1: What is the hypothesized (assumed constant) population proportion for this test? p = (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the researcher's understanding of the situation, how many tails would this hypothesis test have? O one-tailed test two-tailed testarrow_forward1. For a certain year a study reports that the percentage of Americans aged 21 – 30 that had personal credit card debt was 72%. A researcher claims that this is too high for Americans aged 21 – 30 that have at least a Bachelor's degree. In a random sample of 320 Americans aged 21 – 30 with at least a Bachelor's degree, 208 of them had personal credit card debt. At a = 0.01, is the researcher correct %3D about her claim? а. State the null and alternative hypotheses AND identify which is the researcher's claim. b. Determine the critical value(s) that separate the rejection region(s) from the non-rejection region. c. Compute the appropriate test statistic and provide the corresponding p-value. d. Make your decision about the evidence and provide a justification.arrow_forward
- A psychologist would like to examine the effects of a new drug on the activity level of animals. Three samples of rats are selected with n=5 in each sample. One group gets no drug, one group gets s small dose, and the third group gets a large dose. The psychologist records the activity level for each animal. The data from this experiment are presented below. No drug Small dose Large dose 5, 3 , 1 , 1 , 5 5, 5, 9, 6, 5 10, 12, 9, 6, 8 =3, SS=16 =6, SS=12 =9, SS=20 Do these data indicate any significant differences among the three groups? Test with α=0.05. Compute the effect size and interpret the result.arrow_forward(2.1)arrow_forwardSample space S is partitioned into E1, E2, E3, and E4 such that P(E,) = 0.28, P(E2) = 0.03, and P(E3) = 0.48. %3D a. Find P(E4). b. Find the odds in favor of and the odds against E, occurring. ..... a. P(E4) = (Simplify your answer.) %3D b. The odds in favor of E4 occurring, in lowest terms, are (Type whole numbers.) The odds against E4, in lowest terms, are (Type whole numbers.)arrow_forward
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