AnswersCA-Statistics and Probability BPreparing to Test a Claim about a Population ProportionQuestion 8
8
QuizMultiple Choice
Preparing to Test a Claim about a Population Proportion
Question 8 • CA-Statistics and Probability B
A nutritionist believes that 10% of teenagers eat cereal for breakfast. To investigate this claim, she selects a random sample of 150 teenagers and finds that 25 eat cereal for breakfast. She would like to know if the data provide convincing evidence that the true proportion of teenagers who eat cereal for breakfast differs from 10%. What are the values of the test statistic and P-value for this test?Find the z-table here.
Answer
A
z = StartStartFraction 0.167 minus 0.1 OverOver StartRoot StartFraction 0.1 (1 minus 0.1) Over 150 EndFraction EndEndFraction, p-value = 0.0066
B
z = StartStartFraction 0.167 minus 0.1 OverOver StartRoot StartFraction 0.167 (1 minus 0.167) Over 150 EndFraction EndEndFraction, p-value = 0.0278
C
z = StartStartFraction 0.167 minus 0.1 OverOver StartRoot StartFraction 0.1 (1 minus 0.1) Over 150 EndFraction EndEndFraction, p-value = 0.0033
D
z = StartStartFraction 0.167 minus 0.1 OverOver StartRoot StartFraction 0.167 (1 minus 0.167) Over 150 EndFraction EndEndFraction, p-value = 0.0139