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In a Gallup poll of 1038 randomly selected adults, 85% said that secondhand smoke is somewhat harmful or very harmful, but a representative of the tobacco industry claims that only 50% of adults believe that secondhand smoke is somewhat harmful or very harmful. Is there statistically significant evidence against the representative's claim? Why or why not?
One environmental group did a study of recycling habits in a California community. It found that 73% of the aluminum cans sold in the area were recycled. (Round your answers to four decimal places.)
Suppose there are two samples of size 6 and 7, with a rank sum of 58 in the sample of size 6. Using the Wilcox on rank-sum test, evaluate the significance of the results, assuming there are no ties.
A researcher predicts that watching a film on institutionalization will change students' attitudes about chronically mentally ill patients.
What is the probability that next week's show will: Have between 30 and 37 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.
Suppose you are testing the differences in attitudes toward health care reform using Democrats, Republications, and Independents. What statistical test would you use?
Many believe that GM's demise could lead to a ripple effect and cause many other businesses to go under. This ripple effect, many think, could cause the United States to slip out of a recession and lead the country into a depression.
A corporate CEO reviews the earnings of three divisions over the last eighteen months. Each division reports its earnings quarterly.
An investor estimates that there is a 1 in 10 chance that a stock purchase will lose 20% of its value, a 2 in 10 chance it will break even, a 4 in 10 chance it will gain 15% and 3 in 10 chance it will gain 30%. What is the expected return.
A relation R is defined on the set Z of all integers. In each case, prove that R is an equivalence relation. Find the distinct equivalence classes of R and list at least four members of each.
Suppose that you perform a significance test regarding a population mean, and that the evidence does not warrant rejection of the null hypothesis.
At the end of a year the change in participants' blood pressure over the year was measured, and the change was compared for the two groups.
Use the normal approximation to find the probability that the student scores 70% or lower on a 100-question test.
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