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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)
Whenever the calculated value of t is equal to or greater than the tabled value of t, for a given number of degrees of freedom, then
What is the probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean, $168,000 (to 4 decimals)?
Suppose you were to cut up the directory and pull out one listing at random to contact.
To test whether there is a significant mean difference among the three.
Based on the equation of the least-squares line, we use software to predict the average number of home runs hit per game per team for the year 2001. We obtain the following.
Compute mean, standard deviation, coefficient of variation and 5 key percentiles for these data.
There are two telephone lines A and B. Let E1 be the event that line A is being used and E2 be the event that line B is being used
Would it be reasonable to conclude that the population mean is 63 pounds?
At.05 significance level, is there a difference in mean number of calls per day between 2 employees? Compute the p -value?
We are interested in testing to find out whether the variance of the population is vitally more than 0.003
Assume P1 and P2 move simultaneously. Represent this game in normal form.
Five test vehicles of each kind were crashed, with results given below. Research question: Are mean crash damages the same for these 3 vehicles?
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