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to determine the age of each object. The machine correctly determines the age of 78 of the objects in the sample. What is the value of the standardized test statistic? (Round to 2 decimal places)

to determine the age of each object. The machine correctly determines the age of 78 of the objects in the sample. What is the value of the standardized test statistic? (Round to 2 decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Researchers analyze a new portable radiocarbon dating machine and determine that the machine will correctly predict the age of an archaeological object within established tolerances 70% of the time. The machine's inventor wants to test this claim, believing that her machine correctly predicts age at a greater rate. Let p represent the proportion of times that the new portable radiocarbon dating machine correctly determines the age of an archaeological object to within the established tolerances. The inventor's null and alternative hypotheses are as follows. Но : р 0.70 На : р> 0.70 The inventor takes a random sample of n = 100 archaeological objects for which the age is already known and uses her machine to determine the age of each object. The machine correctly determines the age of 78 of the objects in the sample. What is the value of the standardized test statistic? (Round to 2 decimal places)
Transcribed Image Text:Researchers analyze a new portable radiocarbon dating machine and determine that the machine will correctly predict the age of an archaeological object within established tolerances 70% of the time. The machine's inventor wants to test this claim, believing that her machine correctly predicts age at a greater rate. Let p represent the proportion of times that the new portable radiocarbon dating machine correctly determines the age of an archaeological object to within the established tolerances. The inventor's null and alternative hypotheses are as follows. Но : р 0.70 На : р> 0.70 The inventor takes a random sample of n = 100 archaeological objects for which the age is already known and uses her machine to determine the age of each object. The machine correctly determines the age of 78 of the objects in the sample. What is the value of the standardized test statistic? (Round to 2 decimal places)
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