F. N. David used a modern sheep astragalus to estimate the chances of its landing on each of the four sides and provided us with the frequencies that we considered for the "fair" astragalust. You attempt to check that the frequency of getting a "1" that we used for a "fair" astragalus is accurate by conducting an experiment of your own. Your experiment consists of throwing a goat astragalus 1,000 times. Out of your sample of 1,000 throws of the goat astragalus, 89 times it landed on “1". Write the null and the alternative hypothesis that the population proportion of "1"s obtained from throwing a goat astragalus is the same as the number obtained by F. N. David using a sheep astragalus (i.e. the probability we used for a "fair" astragalus up to now).
F. N. David used a modern sheep astragalus to estimate the chances of its landing on each of the four sides and provided us with the frequencies that we considered for the "fair" astragalust. You attempt to check that the frequency of getting a "1" that we used for a "fair" astragalus is accurate by conducting an experiment of your own. Your experiment consists of throwing a goat astragalus 1,000 times. Out of your sample of 1,000 throws of the goat astragalus, 89 times it landed on “1". Write the null and the alternative hypothesis that the population proportion of "1"s obtained from throwing a goat astragalus is the same as the number obtained by F. N. David using a sheep astragalus (i.e. the probability we used for a "fair" astragalus up to now).
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 24CT: Show the sample space of the experiment: toss a fair coin three times.
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Question
Calculate the statistic needed to test the hypothesis stated in Question 11 based on your sample of 1,000 throws of a goat astragalus.
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