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Chapter 9: Q .15. (page 564)
pg
No homework Refer to Exercises 1 and 9. What conclusion would you make at thelevel?
There is not enough convincing evidence to help the claim that less thanof the students at researcher's school finished their homework last night.
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Reality TVTelevision networks rely heavily on ratings of TV shows when deciding
whether to renew a show for another season. Suppose a network has decided that
鈥淢iniature Golf with the Stars鈥� will only be renewed if it can be established that more than of U.S. adults watch the show. A polling company asks a random sample of U.S. adults if they watch 鈥淢iniature Golf with the Stars.鈥� The network uses the data to perform a test of
where is the true proportion of all U.S. adults who watch the show. Describe a Type error and a Typeerror in this setting, and give a possible consequence of each.
Significance tests A test of against
based on a sample of size yields the standardized test statistic .
a. Find and interpret the -value.
b. What conclusion would you make at the significance level? Would
your conclusion change if you used instead? Explain your reasoning.
c. Determine the value of = the sample proportion of successes.
Ski jump When ski jumpers take off, the distance they fly varies considerably depending on their speed, skill, and wind conditions. Event organizers must position the landing area to allow for differences in the distances that the athletes fly. For a particular competition, the organizers estimate that the variation in distance flown by the athletes will be \(\sigma=10\) \(\sigma=10\) meters. An experienced jumper thinks that the organizers are underestimating the variation.
Significance tests A test of versus based on
a sample of size yields the standardized test statistic . Assume that the conditions for performing inference are met.
a. Find and interpret the P-value.
b. What conclusion would you make at the significance level? Would
your conclusion change if you used 伪=0.05 instead? Explain your reasoning.
c. Determine the value of p^= the sample proportion of successes.
Potato power problems Refer to Exercises and
a. Explain one disadvantage of using instead of when
performing the test.
b. Explain one disadvantage of taking a random sample of potatoes instead of potatoes from the shipment.
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