MATH 118 CH 1
Which of the following will always be true about the p-value for the racquet-spinning study?
D.The p-value decreases as the sample proportion that land "up" gets farther from 0.50.
Does this racquet-spinning study call for a one-sided or a two-sided alternative?
D.Two-sided, because the researchers want to know whether the spinning process is fair or biased in either direction
State your null hypothesis and an appropriate one-sided alternative hypothesis
Null: The long-run proportion of times that Krieger chooses the correct object is 50%; Alt: The long-run proportion of times that Krieger chooses the correct object is more than 50%.
What statistical term is given to the long-run proportion you described in (a)?
Parameter
What values would you enter into the One Proportion applet to run an analysis for Jerry?
a) Probability of heads _.50_____ b) Number of tosses 20______ (c) Number of repetitions 1000______
) Identify the parameter of interest for this study and assign a symbol to it
he long run proportion of times that Krieger chooses the correct object, π.
Identify these statements as either true or false.
(b)A standardized statistic can be negative.
If an observed statistic from a study turns out to be a likely value under the chance model, then:
)We can say that the chance model is plausible.
Which standardized statistic (standardized sample proportion) gives you the strongest evidence against the null hypothesis? A.z=1
-.3
3.2.7 Suppose a 95% confidence interval for a population proportion is (0.27, 0.49). Rewrite this interval in the form of p^±margin of error.
0.38 plus minus .11
Suppose that the spun racquet lands with the label facing up 48 times out of 100. Explain, as if to a friend who has not studied statistics, why this result does not constitute strong evidence against believing that the spinning process is fair.
48 out of 100 does not constitute strong evidence that the spinning process is not fair, because if the spinning process was fair (50% chance of racquet landing face up), getting 48 out of 100 spins landing face up is a typical result.
What value does the chance model assert for the long-run proportion?
50%
The simulation (flipping coins or using the applet) done to develop the distribution we use to find our p-values assumes which hypothesis is true?
A.Null hypothesis
The p-value of a test of significance is:
A.The probability, assuming the null hypothesis is true, that we would get a result at least as extreme as the one that was actually observed
Which of the following will always be true about the standardized statistic for the racquet-spinning study?
A.The standardized statistic increases as the sample proportion that land "up" increases.
When we get a p-value that is very large, we may conclude that:
C.The null hypothesis is plausible.
Describe the relevant long-run proportion of interest in words.
The true proportion of times the racquet lands face up
