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Evolution vs. creationism. A Gallup Poll released in December 2010 asked 1019 adults living in the Continental U.S. about their belief in the origin of humans. These results, along with results from a more comprehensive poll from 2001 (that we will assume to be exactly accurate), are summarized in the table below:
(a) Calculate the actual number of respondents in 2010 that fall in each response category.
(b) State hypotheses for the following research question: have beliefs on the origin of human life changed since 2001?
(c) Calculate the expected number of respondents in each category under the condition that the null hypothesis from part (b) is true.
(d) Conduct a chi-square test and state your conclusion. (Reminder: Verify conditions.)
Write the contrapositive of the following statement:
If we add 20 kJ of energy to 2 kg of liquid water originally at 20 C, 100kPa, a) How hot does it get if it is heated at constant pressure? b) How fast does it move if it is pushed by a constant horizontal force?
Estimate the error in the the Trapezoid rule approximation. How large must n be so that Tn is accurate within 0.001? Sketch a direction field for the ordinary equation y' = k(y-a).
You are designing a rectangular enclosure with 2 rectangular interior sections separated by parallel walls. If you have 2100 feet of fencing, what is the maximum area that can be enclosed?
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
Derive an identity for nCk via inclusion-exclusion by counting the k-multisets of [n] in which each element of [n] appears at most once. use p_i = "element i appears more than once in the multiset" as the i-th property, for 1
A very important skill to have is the ability to read a sentence and translate it into a mathematical expression, equation, or inequality. Below I have three sentences that I would like you to translate into inequalities. Once complete, write three..
Determine convergent or divergence. SUM from n=0 to infinity for
Outline which type of collaboration technology you recommend for your project and how it will be implemented. Your goal is to enhance an internal (employee) or external (customer) facing business experience in a way that will increase or facilitat..
The time to attend a breakdown call is found to follow exponential with a mean of 2 hours. Generate exponential random variates representing the time to attend.
Find the two mean proportionals between two cubes guaranteed by Proposition VIII-12.
A spring has a natural length of 24 cm. If a 28 N force is required to keep it stretched to a length of 36 cm, how much work W is required to stretch it from 24 cm to 32 cm? (Round your answer to the nearest hundredth.)
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