The Left is Right Club of America claims that 9% of U.S. adults are left handed. You randomly call
1237 adults and 87 say that they are left-handed. Is there a difference in the percent of left handers?
Find/use p to 2 decimals.
a) Write the H0 and Ha to test.
b) Check the conditions and assumptions for statistical inference.
c) Calculate the standard deviation, to 4 decimals. (no sentence)
d) Sketch the model for the problem, include p in the sketch. (no sentence)
e) Calculate the p-value, to 4 decimals. Showing ALL work. (Remember “difference”)
h) At a significant level of α= 2% or α = .02, state your conclusion in context of the problem.
g) Find a 98% confidence level and interpret it. Show work. [Remember SD(p) ≠ SE(p) ]
The Left is Right Club of America claims that 9% of U.S. adults are left handed....
It has been claimed that, on average, right-handed people have a left foot that is larger than the right foot. Here we test this claim on a sample of 10 right-handed adults. The table below gives the left and right foot measurements in millimeters (mm). Test the claim at the 0.05 significance level. You may assume the sample of differences comes from a normally distributed population. Person Left Foot (x) Right Foot (y) 1 272 272 2 269 267 3...
Foot-Length: It has been claimed that, on average, right-handed people have a left foot that is larger than the right foot. Here we test this claim on a sample of 10 right-handed adults. The table below gives the left and right foot measurements in millimeters (mm). Test the claim at the 0.01 significance level. You may assume the sample of differences comes from a normally distributed population. Person Left Foot (x) Right Foot (y) difference (d = x − y)...
Professor Jennings claims that only 35% of the students at Flora
College work while attending school. Dean Renata thinks that the
professor has underestimated the number of students with part-time
or full-time jobs. A random sample of 85 students shows that 40
have jobs. Do the data indicate that more than 35% of the students
have jobs? Use a 5% level of significance.
What are we testing in this problem?
single meansingle proportion
(a) What is the level of significance?...
The manufacturer of a sports car claims that the fuel injection
system lasts 48 months before it needs to be replaced. A consumer
group tests this claim by surveying a random sample of 10 owners
who had the fuel injection system replaced. The ages of the cars at
the time of replacement were (in months):
27
44
43
48
53
46
30
51
42
52
(i) Use your calculator to calculate the mean age of a car when
the fuel...
1) Dr. Dumbledore decides to use these data to test whether
there is a significant difference in mean distance walked between
men with and without beards. What is the appropriate statistical
test for him to use?
2) Carefully write down the null and alternative hypotheses for
Dumbledore's test, being sure to define any symbols you use. (You
may use words like "mu" in place of the Greek letter.)
3) Dr. Dumbledore conducts the test and (correctly) obtains a
test statistic...
Some dietitians have suggested that highly acidic diets can have an adverse affect on bone density in humans. Alkaline diets have been marketed to avoid or counteract this effect. Veterinary researchers wondered if the same thing true for cats, and whether an alkaline diet might be beneficial. Two groups of 4 cats each were fed diets for 12 months that differed only in acidifying or alkalinizing properties. The bone mineral density (g/cm2) of each cat was measured at the end...
The price to earnings ratio (P/E) is an important tool in financial work. A random sample of 14 large U.S. banks (J. P. Morgan, Bank of America, and others) gave the following P/E ratios.† 24 16 22 14 12 13 17 22 15 19 23 13 11 18 The sample mean is x ≈ 17.1. Generally speaking, a low P/E ratio indicates a "value" or bargain stock. Suppose a recent copy of a magazine indicated that the P/E ratio of...
10. A science teacher claims that the mean scores on a science assessment test for fourth grade boys and girls are equal. The mean score for 13 randomly selected boys is 151 with a standard deviation of 36, and the mean score for 15 randomly selected girls is 149 with a standard deviation of 34. At a 0.01, can you reject the teacher's claim? Assume the populations are normally distributed and the population variances are not equal. Но Type of...
For each question below select the best answer from those listed and give your reasoning. Your reasoning need only be a sentence or two. It is not enough to get the right answer, you must know why it is the right answer. Question 5 Fred's friend claimed that Canadians tend to be jerks. Fred wondered if that was true, and tested it by checking to see how many Canadian jerks he could think of. Fred's cognitive strategy is ["the availability...
CASE 20 Enron: Not Accounting for the Future* INTRODUCTION Once upon a time, there was a gleaming office tower in Houston, Texas. In front of that gleaming tower was a giant "E" slowly revolving, flashing in the hot Texas sun. But in 2001, the Enron Corporation, which once ranked among the top Fortune 500 companies, would collapse under a mountain of debt that had been concealed through a complex scheme of off-balance-sheet partnerships. Forced to declare bankruptcy, the energy firm...