.A sample of 200 individuals are tested for their blood type is given in the first table, and the results are used to test the hypothesized distribution of blood types. The observed results are given in the second table. At the .05 level of significance, is there sufficient evidence to show that the stated distribution is incorrect?
Blood Type | A | B | O | AB |
Percent | 0.41 | 0.06 | 0.41 | 0.12 |
Blood Type | A | B | O | AB |
Number | 73 | 17 | 84 | 26 |
(a) Find the test statistic. (Give your answer correct to two
decimal places.)
(ii) Find the p-value. (Give your answer bounds
exactly.)
_____< p <_____
(b) State the appropriate conclusion.
Reject the null hypothesis, there is significant evidence that the stated distribution is incorrect. Reject the null hypothesis, there is not significant evidence that the stated distribution is incorrect. Fail to reject the null hypothesis, there is significant evidence that the stated distribution is incorrect. Fail to reject the null hypothesis, there is not significant evidence that the stated distribution is incorrect.
You may need to use the appropriate table in Appendix B to answer
this question.
.A sample of 200 individuals are tested for their blood type is given in the first...
A sample of 200 individuals are tested for their blood type is given in the first table, and the results are used to test the hypothesized distribution of blood types. The observed results are given in the second table. At the .05 level of significance, is there sufficient evidence to show that the stated distribution is incorrect? Blood Type   A     B     O     AB   Percent...
A sample of 200 individuals are tested for their blood type is given in the first table, and the results are used to test the hypothesized distribution of blood types. The observed results are given in the second table. At the .05 level of significance, is there sufficient evidence to show that the stated distribution is incorrect? Blood Type   A     B     O     AB   Percent...
Results on seat belt usage from the 2003 Youth Risk Behavior Survey were published in a USA Snapshot on January 13, 2005. The following table outlines the results from the high school students who were surveyed in the state of Nebraska. They were asked whether or not they rarely or never wear seat belts when riding in someone else's car. Using α = .05, does this sample present sufficient evidence to reject the hypothesis that gender is independent of seat...
A certain genetic characteristic of a particular plant can
appear in one of three forms (phenotypes). A researcher has
developed a theory, according to which the hypothesized proportions
are p1 = 0.25, p2 = 0.50, and p3 = 0.25. A random
sample of 200 plants yields X2 = 5.08. (a) Carry out a test of the
null hypothesis that the theory is correct, using level of
significance α = 0.05. What is the critical value for the test?
(Round your...
The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses Ho: Site type and pottery are not independent. Hy: Site type and pottery are not independent. Ho: Site type and pottery are independent. Hy: Site type...
Question (9) The manager of an assembly process wants to determine whether or not the number of defective articles manufactured depends on the day of the week the articles are produced. She collected the following information. Is there sufficient evidence to reject the hypothesis that the number of defective articles is independent of the day of the week on which they are produced? Use α = 0.05. Day of Week M Tu W Th F Nondefective 85 87 93 86...
The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use α = 0.01 and assume normality. n = 36, Σd = 223, Σd2 = 6157 (a) Find t....
Skittles Original Fruit bite-size candies are multicolored candies in a bag, and you can "Taste the Rainbow" with their five colors and flavors: green, lime; purple, grape; yellow, lemon; orange, orange; and red, strawberry. Unlike some of the other multicolored candies available, Skittles claims that their five colors are equally likely. In an attempt to reject this claim, a 4-oz bag of Skittles was purchased and the colors counted. Does this sample contradict Skittle's claim at the .05 level? Red...
Skittles Original Fruit bite-size candies are multicolored candies in a bag, and you can "Taste the Rainbow" with their five colors and flavors: green, lime; purple, grape; yellow, lemon; orange, orange; and red, strawberry. Unlike some of the other multicolored candies available, Skittles claims that their five colors are equally likely. In an attempt to reject this claim, a 4-oz bag of Skittles was purchased and the colors counted. Does this sample contradict Skittle's claim at the .05 level? Red...
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left. No, the...