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Inference: The differing meanings of "valid inference" and "warranted inference" are closely related to the differing purposes of deductive and inductive arguments – the purpose of deductive being to prove; the purpose of inductive to make the conclusion most probable. Look up the words "valid" and "warranted." Each of these words, you will find, has what is known as a lexical definition – that is just the dictionary definition of the word. Words also have a certain connotations - meanings...
Professor Johnson is interested in the probability that a certain type of randomly generated matrix has a positive determinant. His student attempts to calculate the probability exactly, but runs into difficulty because the problem requires her to evaluate an integral in 9 dimen- sions. Professor Johnson therefore decides to obtain an approximate probability by simulation, i.e., by randomly generating some matrices and observing the proportion that have positive determinants. His pre- liminary investigation reveals that the probability is roughly 0.05....
According to The Justice Project, “John Spirko was sentenced to death on the testimony of a witness who was ‘70 percent certain’ of his iden- tification.” Formulate this case as a problem in hypothesis testing. What can be deduced about the significance level used to convict Spirko? Does this choice of significance level strike you as suitable for a capital murder trial?
(a) Determine the sample proportions for each
sample. The proportions of the females and males who took the
survey who are annoyed by the behavior in question are _____ and
_____, respectively. (Round to four decimal places as needed.)
(b) Explain why this study can be analyzed
using the methods for conducting a hypothesis test regarding two
independent proportions.
(c) What are the null and alternative
hypotheses?
(d) Describe the sampling distribution of
(pfemale − pmale). Draw a normal model...
The hypothesis test for the proportions is calculated using a z test statistic since proportions are based on a binomial distribution. True or False
What is the importance of the ladder of inference?
After many years of teaching, a statistics professor computed the variance of the marks on her final exam and found it to be σ2 = 250. She recently made changes to the way in which the final exam is marked and wondered whether this would result in a reduction in the variance. A random sample of this year’s final exam marks are listed here. Can the professor infer at the 10% significance level that the variance has decreased?57 92 99 ...
A management professor was in the process of investigating the relationship between education and managerial level achieved. The source of his data was a survey of 385 CEOs of medium and large companies. He discovered that there was only one CEO who did not have at least one university degree. Estimate (using a Wilson estimator) with 99% confidence the proportion of CEOs of medium and large companies with no university degrees.
writing a end of week summary....what is inference for one proportion vs inference for two proportion?