(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?

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
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Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 20A: Mating parts are shown in Figure 29-16. The pins in the top piece fit into the holes in the bottom...
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I need part c and d

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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