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The CDC suspects that the prevalence of Zika virus in Brazil is around 10%. Researchers have a new screening tool that correctly identifies 75% of those infected with the virus. For those that do not have the virus, it incorrectly identifies them as having the virus 15% of the time. (fictitious data) 1. If 10 individuals are randomly sampled from the population, what is the probability that 1 or fewer would have Zika? Express your answer as a decimal to two places, e.g. 0.XX. 2. Suppose we sample 100 independent subjects from the population of interest where the prevalence is still 10%. How many would we expect to have Zika? 3. Suppose we sample 100 independent subjects from the population of interest and want to compute the probability that more than 30 have Zika using the normal approximation to the binomial. What probability statement should we use when computing our standard normal (z) score? Group of answer choices P(X < 30.5) P(X < 29.5) P(X > 30.5) P( X > 29.5) This probability will be exactly zero. 4.Researchers collect a sample of 100 subjects and found that 16 had Zika. Is there evidence that the proportion with Zika is different from 10%? Provide the researchers with the value of their test statistic and the p-value. a. Round your test statistic to one decimal place, e.g. X.X. Test statistic = b. Express your p-value as a decimal to two places, e.g. 0.XX. P-value = 5.Suppose that instead of doing a two-sided test, researchers instead wanted to test if the proportion with Zika is less than 10%. How will it compare to the p-value you computed in Problem 10? Group of answer choices It will be smaller It will be larger It will be the same Cannot be determined

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When Gregory was asked how many days there were in the month of August he recited the rhythm 30 days half September April, June, and November and quickly arrived at the correct solution Gregory used

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All the following are shapes of prokaryotes EXCEPT ______. Spirilla Cocci Bacilli Polyhedral

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Show, using dimensional analysis, how many nickels you should receive in exchange for 74 quarters. (number) (unit) 74 quarters \times \frac{(number)}{(unit)} = \text{ nickels}

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2. Let A and B be the set of all real numbers. Let g be the function that, to each element x in A, assigns 5 times the element squared and 4 subtracted. Another way of writing this is g(x) = 2x$^2$ - 5. Determine the following: a) g(3) = b) g(-5) = c) g(2x) = d) g(x-3) =

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The handicap hypothesis An important hypothesis explaining the purpose of intersexual selection is that it increases female fitness to be choosy, and that males need to signal their quality as a potential mate so that females will choose them. The handicap hypothesis proposes that a male can signal his quality by surviving in spite of having a trait that could potentially be detrimental to his health. For example, exaggerated traits such as large antlers on male deer could be a hindrance to walking through thick brush or inhibit their ability to elude a predator, and since new antlers are grown every year they signal his ability to obtain the food needed to provide raw materials for a new set of antlers. Similarly, while bright coloration indicates good health, it also increases visibility to predators. As you consider the following studies, think about how they relate to the handicap hypothesis. Researchers have conducted several studies to investigate the influence of coloration and tail length in widowbird mate choice and reproduction. Results of several experiments are described below. Tail Length Study #1 In an initial field study, researchers compared the number of active nests and date of the first egg production in a nest among males with different tail lengths. What is the hypothesis being tested in this study? Females prefer males with longer tails Changing the length of male tails has no effect on female attraction to them Long tails make males lose muscle and fat Long tails indicate good male genes

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An ideal gas is slowly changed from state #1 to state #2. During this process no work is done on or by the gas. This process must be: Question 11 options: a) isobaric b) isothermal c) isochoric d) adiabatic

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Please show the work and formula used step by steps: Solve the following recurrence relations. (In case of complex roots, only general solution is enough.) (10 pts.) 2a_(n+2)-11a_(n+1)+5a_(n)=0,n>=0,a_(0)=2,a_(1)=-8 a_(n+2)+a_(n)=0,n>=0,a_(0)=0,a_(1)=3 3. Solve the following recurrence relations. (In case of complex roots, only general solution is enough.) (10 pts.) 1) 2an+2 -11an+1+5an =0,n 0,ao =2, a1=-8 2) an+2+an=0,,n0, ao=0,a1=3

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Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. $\int_{-1}^{1} \frac{1}{\ln|4x|} dx$ Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) A. The integral converges because B. The integral diverges because $\int_{-1}^{1} \frac{1}{\ln|4x|} dx = $

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Solve the system of equations. If the system has no solution, say that it is inconsistent. { 3x - 2y = -1 5x + y = 7 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. The solution of the system is x = and y = (Type an integers or simplified fractions.) B. There are infinitely many solutions. Using ordered pairs, the solution can be written as {(x,y) | x = , y any real number}. (Simplify your answer. Type an expression using y as the variable as needed.) C. The system is inconsistent.

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alex b.