11. 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" astragalus“. 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).
11. 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" astragalus“. 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).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
Calculate the 95% interval estimate for the population proportion of getting “1”s from throwing a goat astragalus based on the sample of 1,000 throws described in Question 11
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