The probability of catching Lyme disease after on day of hiking in the Cuyamaca mountains are estimated at less than 1 in 10000. You feel bad after a

day of hike in the Cuyamacas and decide to take a Lyme disease test. The

test is positive. The test specifications say that in an experiment with 1000

patients with Lyme disease, 990 tested positive. Moreover. When the same

test was performed with 1000 patients without Lyme disease, 200 tested

positive. What are the chances that you got Lyme disease.

7. This problem uses Bayes' theorem to combine probabilities as subjective

beliefs with probabilities as relative frequencies. A friend of yours believes

she has a 50% chance of being pregnant. She decides to take a pregnancy

test and the test is positive. You read in the test instructions that out of

100 non-pregnant women, 20% give false positives. Moreover, out of 100

pregnant women 10% give false negatives. Help your friend upgrade her

beliefs

An informational collection about speed dating includes? "like" appraisals of male dates made by the female dates. The outline measurements are n=188?, x overbar=7.89?, s=2.05. Utilize a 0.05 importance level to test the case that the populace mean of such appraisals is under 8.00. Expect that a straightforward arbitrary example has been chosen. Distinguish the invalid and alternative? theories, test? measurement, P-worth, and express the last end that tends to the first case.

What are the invalid and alternative? speculations?

Decide the test measurement ___ ?(Round to two decimal spots as? required.)

Decide the? P-esteem ___ ?(Round to three decimal spots as? required.)

Express the last end that tends to the first case.

? Reject, Fail to dismiss H0. There is? not adequate, adequate proof to presume that the mean of the number of inhabitants in evaluations is ? equivalent to, not

more prominent than, under, 8.00.

Settle on a choice about the given case. Utilize just the uncommon event? rule, and make abstract evaluations to decide if occasions are likely. For? model, if the case is that a coin favors heads and test results comprise of 11 heads in 20? flips, reason that there isn't adequate proof to help the case that the coin favors heads? (on the grounds that it is not difficult to get 11 heads in 20 flips by chance with a fair? coin).

?Claim: The mean breath rate left enclosure in breaths each moment right bracket of understudies in a huge math class is more prominent than12.

A basic arbitrary example of the understudies has a mean breath pace of 31.6.

Pick the right answer beneath.

A. The example isn't surprising if the case is valid. The example is strange if the case is false.? Therefore, there isn't adequate proof to help the case.

B. The example is surprising if the case is valid. The example isn't strange if the case is false.? Therefore, there isn't adequate proof to help the case.

C. The example is uncommon if the case is valid. The example isn't uncommon if the case is false.? Therefore, there is adequate proof to help the case.

D. The example isn't strange if the case is valid. The example is uncommon if the case is false.? Therefore, there is adequate proof to help the case.

Information on the weights? (lb) of the substance of jars of diet soft drink versus the substance of jars of the customary form of the soft drink is summed up to one side. Expect that the two examples are autonomous basic arbitrary examples chose from ordinarily distributed? populaces, and don't accept that the populace standard deviations are equivalent. Complete parts? (a) and? (b) beneath. Utilize a 0.05 importance level for the two sections.

a) Test the case that the substance of jars of diet soft drink have loads with an imply that is not exactly the mean for the customary pop.

What are the invalid and alternative? speculations?

The test? measurement, t, is_____.?(Round to two decimal spots as? required.)

The? P-esteem is____. ?(Round to three decimal spots as? required.)

Express the end for the test.

A. Neglect to dismiss the invalid theory. There isn't adequate proof to help the case that the jars of diet soft drink have mean loads that are lower than the mean load for the ordinary pop.

B. Reject the invalid speculation. There is adequate proof to help the case that the jars of diet soft drink have mean loads that are lower than the mean load for the standard pop.

C. Neglect to dismiss the invalid theory. There is adequate proof to help the case that the jars of diet soft drink have mean loads that are lower than the mean load for the customary pop.

D. Reject the invalid theory. There isn't adequate proof to help the case that the jars of diet soft drink have mean loads that are lower than the mean load for the ordinary pop.

b.) Construct a certainty stretch suitable for the theory test in part? (a).

_____ lb

Does the certainty stretch help the end found with the hypothesis? test?

2 Concepts 3. From Table 3, select three (3) and for each, briefly explain the underlying concept in your own words and using the appropriate vocabulary terms. Also briefly provide a real-world example/application. (20 points total) Frequentist probability Classical probability Subjective probability Addition Rule for probability Multiplication Rule for probability Independence of events Bayes' Rule Factorial Principle Permutation Principle Combination Principle Multinomial Principle Expected value Binomial distribution Poisson distribution Normal distribution Standardization Sampling distribution Central Limit Theorem Normality of sample data Normal approximation to Binomial Table 3: Concepts for Question 3elected financial data for Bahama Bay and Caribbean Key are as folows (5 in millions) Bahama Bay Caribbean Kay 2018 2017 2018 2017 Total mounts 5 9,643 5 0,562 5 8,643 $ 8.082 Total Liabilities 8.052 7.516 7.493 7:483 Total Stockholders equity 1.591 2016 1.350 1.390 Sales revenue 5 5877 12.849 Internet exponge 201 157 Tax expense 73 347 Net Income 323 356 Required:Dr. Rooker is studying spotted seatrout and is interested if the size of seatrout in Galveston Bay is different from the seatrout in Matagorda Bay. a. What are Dr. Rooker's null and alternative hypotheses? b. Using the information below, determine if there is a significant difference in seatrout size in Galveston Bay and Matagorda Bay at a = 0.05? Galveston Bay: mean = 39 cm + 10 SD; n = 50 Matagorda Bay: mean = 35 cm + 8 SD; n = 30ADH 5. An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that will be renewed at the end of their terms and Y the percentage of collision policies that will be renewed at the end of their terms. Given that * and Y have joint cumulative distribution function: xy(x+y) F(x, y) = { 2,000,000' 0 x $ 100,0 sys 100 otherwise calculate Var X. A) 764 833 C) 3402