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The numbers and frequencies associated with throwing one astragalus (which can only rest on one of four sides) were: Number Percentage of times the astragalus lands on a particular side “1" (lateral side: flat and narrow) 10 "3" (lower side: broad and concave) 40 “4" (upper side: broad and convex) 40 "6" (lateral side: flat and slightly hollow) 10 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" astragalus4. 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". (a) 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). (b) Use the p-value approach and a level of significance of 5% to test the hypothesis stated in part (a). What do you conclude? (c) Use the critical value approach and an a of 10% to test the hypothesis stated in part (a). What do you conclude in this case? (d) What is statistical inference?

The numbers and frequencies associated with throwing one astragalus (which can only rest on one of four sides) were: Number Percentage of times the astragalus lands on a particular side “1" (lateral side: flat and narrow) 10 "3" (lower side: broad and concave) 40 “4" (upper side: broad and convex) 40 "6" (lateral side: flat and slightly hollow) 10 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" astragalus4. 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". (a) 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). (b) Use the p-value approach and a level of significance of 5% to test the hypothesis stated in part (a). What do you conclude? (c) Use the critical value approach and an a of 10% to test the hypothesis stated in part (a). What do you conclude in this case? (d) What is statistical inference?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The numbers and frequencies associated with throwing one astragalus (which can only rest on one of four sides) were: Number Percentage of times the astragalus lands on a particular side "1" (lateral side: flat and narrow) 10 "3" (lower side: broad and concave) 40 “4" (upper side: broad and convex) 40 “6" (lateral side: flat and slightly hollow) 10 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" astragalus4. 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". (a) 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). (b) Use the p-value approach and a level of significance of 5% to test the hypothesis stated in part (a). What do you conclude? (c) Use the critical value approach and an a of 10% to test the hypothesis stated in part (a). What do you conclude in this case? (d) What is statistical inference?
Transcribed Image Text:The numbers and frequencies associated with throwing one astragalus (which can only rest on one of four sides) were: Number Percentage of times the astragalus lands on a particular side "1" (lateral side: flat and narrow) 10 "3" (lower side: broad and concave) 40 “4" (upper side: broad and convex) 40 “6" (lateral side: flat and slightly hollow) 10 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" astragalus4. 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". (a) 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). (b) Use the p-value approach and a level of significance of 5% to test the hypothesis stated in part (a). What do you conclude? (c) Use the critical value approach and an a of 10% to test the hypothesis stated in part (a). What do you conclude in this case? (d) What is statistical inference?
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