Find the probability that a randomly selected student is in sports using the two-way table below.

Tolnaio 2021-09-07 Answered

Find the probability that a randomly selected student is in sports using the to-way table below.

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Answered 2021-09-08 Author has 83 answers

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asked 2022-08-17
Please, answer the question: if there is no association between the categorical variables, which of the following is true?
a) The observed counts in the two-way table should be close to the expected points.
b) The observed counts in the two-way table will be different from the expected points.
c) The chi-square statistic will have a large value and the observed counts in a two-way table will be very different from the expected points.
d) The chi-square statistic will have a large value.
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Complete the table.
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(Round to two decimal places as needed.)

asked 2021-09-07
Tell whether the statement is TRUE or FALSE.
1. The F distribution is not symmetric but skewed to the right (or skewed positively).
2. If the null hypothesis of an ANOVA F-test is true, the F statistic is close to one.
3. In a two-way table, if the expected counts are about the same as the observed counts, we fail to reject the null hypothesis.
4. If the conditional distributions in a two-way table are similar to each other, the P-value of the test is close to zero.
5. A small P-value indicates that the two variables in a two-way table are not associated.
asked 2021-09-16

Find P(A) using the following table.

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Using data from the 2000 census, a random sample of 348 U.S. residents aged 18 and older was selected. The two-way table summarizes the relationship between marital status and housing status for these residents. MarriedNotmarriedTotalOwn17282254Rent405494Total212136348
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Gastric freezing was once a recommended treatment for ulcers in the upper intestine. One experiment compared 82 subjects randomly assigned to gastric freezing and 78 subjects randomly assigned to receive a placebo. The two-way table shows the results of the experiment. Is there convincing evidence of an association between treatment and outcome for subjects like these?
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New questions

i'm seeking out thoughts for a 15-hour mathematical enrichment course in a chinese language high faculty. What (pretty) simple concern would you advocate as a subject for any such course?
historical past/issues:
My students are generally pretty good at math, but many of them have no longer been uncovered to rigorous or summary mathematical reasoning. an amazing topic would be one that could not be impossibly hard for students who have by no means written or study proofs in English.
i have taught this magnificence three times earlier than. (a part of the purpose that i'm posting that is that i have used up all my thoughts!) the primary semester I taught an introductory range theory elegance (which meandered its way toward a proof of quadratic reciprocity, though I think this become in the end too advanced/abstract for some of the students). the second one semester I taught fundamental graph idea and packages (with a focal point on planarity and coloring). The 1/3 semester I taught a class at the Rubik's dice.
the students' math backgrounds are pretty numerous: a number of them take part in contest math competitions, and so are familiar with IMO-fashion techniques, however many aren't. a number of them may additionally realize some calculus, however I cannot assume it. all of them are superb at what in the united states is on occasion termed "pre-calculus": trigonometry, conic sections, systems of linear equations (though, shockingly, no matrices), and the like. They realize what a binomial coefficient is.
So, any ideas? preferably, i'd like to find some thing a bit "sexy" (like the Rubik's cube) -- tries to encourage wide variety theory through cryptography seemed to fall on deaf ears, however being capable of "see" institution idea on the cube became pretty popular.
(Responses specifically welcome from folks who grew up in the percent -- any mathematical subjects you desire were protected within the excessive college curriculum?)