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a. Show that another expression for the chi-squared statistic is
Why is it more efficient to compute x2 using this formula?
b. When the null hypothesis is how does the formula of part (a) simplify? Use the simplified expression to calculate x2 for the pigeon/direction data in Exercise 4
Exercise 4 The article "Application of Methods for Central Statistical Monitoring in Clinical Trials" (Clinical Trials, 2013: 783-806) made a strong case for central statistical monitoring as an alternative to more expensive onsite data verification. It suggested various methods for identifying data characteristics such as outliers, incorrect dates, anomalous data patterns, unusual correlation structures, and digit preference. Exercise 3.21 of this book introduced Benford's Law, which gives a probability model for the first significant digit in many large data sets: The cited article gave the following frequencies for the first significant digit in a variety of variables whose values were determined in one particular clinical trial:
Carry out a test of hypotheses to see whether or not these frequencies are consistent with Benford's Law (the cited article gave P-value information).
In a survey conducted to see how long Americans keep their cars, 2000 automobile owners were asked how long they plan to keep their present cars. The results of the survey follow. Find out the probability distribution associated with these data.
Compute the mean, median, mode and standard deviation for the following discrete probability distribution.
a gmac mba new-matriculants survey provided the following data for 2018 students. given that a person applied to more
an internal revenue oversight board survey found that 82 of taxpayers said that it was very important for the internal
If you were to conduct right-tailed hypothesis test at 5% significance level, you choose the critical value this way. Assuming that the null hypothesis is true
the department of transportation in georgia did a study a number of years ago that showed that the proportion of cars
When do you use a one-tailed test? How do you find the critical values for one-and two tailed tests? When do you reject the null hypothesis? Under what circumstances is the null accepted?
A report states that 46% of home owners have a vegetable garden. How large a sampl.e is needed to estimate the true proportion of home owners who have vegetable gardens to within 4 percentage points with 95% confidence?
a and b could have a relationship that is negative meaning they are headed in opposite directions or positive meaning
The booster club has gotten several businesses and car dealers to donate gasoline and cars for the college students to use to make a maximum of 575 personal contacts daily during the fund-raising drive. The college student will donate a total of 2..
Medical research team studied the ages of patient who had strokes caused by stress. Ages of 34 patients who suffered stress strokes. Create frequency distribution for these ages.
how is the denominator influenced by sample variability and given this why do we need a larger sample for between
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