While imprisoned by the Germans during World War II, the English mathematician John Kerrich tossed a coin 10,000 times and obtained 5,067 heads, resulting in an experimental probability ofp = 50.67% that the coin would land heads-up on a single toss. Let p be the true probability of heads on a single toss. We wish to check if Kerrich's data are consistent with the hypothesis that the coin is fair (ie., p = 0.50) a. Set-up the null and alternative hypotheses. H. XR
b. Calculate the test statistic, zo
c. Calculate the P-value.

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

If a || b and b | y, then ? a) x || y. b) x | a. c) a | y. d) a || y.

The area of square garden is 300m squared. how long is the diagonal?