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Hypothesis, Null and Alternative, & P-values
Q1: What is a p-value in testing hypothesis?
Q2: How does this p-value help us to decide to/not to reject a Null hypothesis? What might happen if we do not use this p-value in particular, when we are rejecting a Null hypothesis?
Q3: What are the limits of these p-values to decide if we have made a right decision on rejecting a false Null hypothesis?
Q4: how do you find this p-value from the tables?
There are 500 employees in a firm, 45% are female. A sample of 60 employees is selected randomly. (a) Determine the standard error of the proportion.
Pedro wants to know if the weight loss of his group on the chocolate-only diet is representative of weight loss in a large population of middle aged men.
At a = 0.05, can you reject claim that at least 52% of adults are more probable to purchase a product when there are free samples?
What is the purpose of a Wilcoxon signed-rank test? Explain. The Wilcoxon signed-rank test resembles which parametric test(s)? Explain.
Find out the probability that temperature of oven will range from 460 to 470 F?
The bank wishes to inform prospective customers that '99 times out 100 we can process your application in q working days'. Assuming that the normal distribution is still an adequate model, calculate q.
Suppose that January sales for the fourth year turn out to be $295,000. What was your forecast error? If this is a large error, Karen might be puzzled about the difference between your forecast and actual sales value.
Determine regression line for predicting January temperature from latitude.
You are asked to match three songs with the performers who made those songs famous. if you guess, the probability distribution for the number of correct matches is:
Where does the p-value come from for the spatial scan statistic used in SaTScan? Explain how Monte Carlo simulation is used to derive a p-value for a cluster.
A researcher is estmating influence of treatment using sample selected from normally distributed population with mean of µ = 80 and standard deviation of σ = 20. Calculate power of test if researcher uses sample of n = 25 individuals.
To compute all the descriptive statistics for the following set of three test scores over the course of a semester. Which test had the highest average score? Which test had the smallest amount of variability?
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