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Hypothesis testing and confidence interval for two proportions:
In a study to estimate the proportion of housewives who own IPods, it is found that 120 out of 200 suburban residents and 240 out of 500 urban residents own IPods.
a) Is there a significant difference between the proportion of suburban and urban housewives who own IPods? Use α = 0.04.
b) Establish a 99% confidence interval for the difference in the proportion of suburban and urban housewives who own IPod.
c) Estimate the type II (β) if the alternative hypothesis is:
i)two-sided, i.e.: p1 ¹ p2, with α = 0.01 ii)one-sided, i.e.: p1 > p2, with α = 0.05 iii)one-sided, i.e.: p1 < p2, with α = 0.025
d) Compute the common sample size for the two sided alternative hypotheses in part (c)
When using the distribution of sample means to estimate the population mean, what is the benefit of using larger sample sizes?
Two types of flares are tested for their burning times (in minutes) and sample results are given below.
Determine the probability of randomly selecting a person graduating with Master's degree who didn't major in Education.
Suppose you are given a grant to run a controlled experiment. Explain how you would structure the experiment in order to estimate the casual effect of hours on sat.
Explain your answer to someone who is familiar with the T test for a single sample, but not with the T test independent means.
36 values given here are based on summary statistics from research by cumming. Do you think that these data are normally distributed?
Below you are given a partial computer output based on a sample of 21 observations, relating an independent variable (x) and a dependent variable (y).
Calculate and interpret standard error of estimate se and coefficient of determination R2 for these data.
Researchers are studying the absorption of two drugs into the bloodstream. Each drug is to be injected at three dosages. There are 24 people in the study, and they are randomly divided into six groups.
Determine the pairs which are significant according to LSD and what pairs are important according to Bonferroni?
Determine the cost Xs to develop the support system for which the probability of exceeding Xs is equal to 0.01?
The amount ($1.00, $5.00, $10.00, $25.00, or $50.00) promised to each person was determined by randomization. For each person who was sent one of the surveys, The value of the X2 test statistic for testing the hypothesis
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