An experiment tests whether or not dogs can detect cancer by sniffing 7 urine vials, one of which was from a cancer patient. When the hypothesis is tested that the dogs randomly guess, Ho: p = 1/7, against the hypothesis that the dogs do not randomly guess, Ha: p ≠ 1/7, a p-value of 0.05 is obtained. If the null hypothesis is wrongly rejected, what type of error has been committed? Explain using the context of the experiment. Group of answer choices A type II error. The p-value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they do randomly guess. A type II error. The p-value would not cause the rejection of the hypothesis that the dogs randomly guess when in reality they have a method for determining the cancer vial. A type I error. The p-value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they have a method for determining the cancer vial. A type I error. The p-value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they do randomly guess.
Correct options are:
A type II error: he p-value would not cause the rejection of the hypothesis that the dogs randomly guess when in reality they have a method for determining the cancer vial
A type I error. The p-value would cause the rejection of the hypothesis that the dogs randomly guess when in reality they do randomly guess.
An experiment tests whether or not dogs can detect cancer by sniffing 7 urine vials, one...
Problem: Proportion of "Cured” Cancer Patients: How Does Canada Compare with Europe? Lung cancer remains the leading cause of cancer death for both Canadian men and women, responsible for the most potential years of life lost to cancer. Lung cancer alone accounts for 28% of all cancer deaths in Canada (32%. in Quebec). Most forms of lung cancer start insidiously and produce no apparent symptoms until they are too far advanced. Consequently, the chances of being cured of lung cancer...
2. (2 True-False. Just say whether each statement is True or False – no need to justify your answer. 1. If the number of trials in the binomial distribution increases by 1 (and P equals .50), the probability of getting either of the most extreme possible outcomes (that is, 0 or N) is cut in half. 2. If the number of trials in the binomial distribution increases by 1 (and P does not equal .50), the probability of getting either of...
1. What are null hypothesis and alternative hypothesis? 2. Inastatisticaltest,wehavethechoiceofatwo-tailedtest,aleft- tailed test, or a right-tailed test. Which hypothesis is the determining factor for choosing the direction of the test? (In other words, how would you decide it) 3. Forthesamesampledataandnullhypothesis,howdoesthe P-value for a two-tailed test compare to that for a one-tailed test? 4. Using P-value method, how would you reject or fail to reject the null hypothesis? (what is the decision criteria?) How does level of significance matter to the hypothesis...
Please answer all
Question 33 1 pts If the significance level for a hypothesis test is 0.01 and the p-value for the test ends up being 0.0034, after forming the appropriate conclusion based on the p-value, which possible error could have be committed, type I or type II. Since we did not reject the null, we might have committed a type one error. O Since we did not reject the null, we might have committed a type two error. Since...
Question 3 (7 marks) A manufacturer has developed a new type of bicycle frame which will be sold with a 2-year warranty. To see whether this is economically feasible, 20 prototype frames are subjected to an accelerated life experiment to simulate 2 years of use. The proposed warranty will be modified only if fewer than 90% of such frames would survive the 2-year period. (a) Let p be the true proportion of frames that survive. Find a rejection region for...
A genetic experiment involving peas yielded one sample of offspring consisting of 426 green peas and 134 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 25% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. What are the...
One measure of variation that we can look at is the Range when we have continuous variables. We will be using this measure to create a histogram. A histogram is used to show the frequencies of certain events or categories of data values in a set of data from one time period. Data are plotted in increasing or deceasing order based on the frequency count for each data categories. Assignment I Below is a data file containing the average number...
Can Dogs Understand Human Cues? EXPLORATION Dogs have been domesticated for about 14,000 years. In that time, have they been able to develop an understanding of human gestures such as pointing or glancing? How about simi lar nonhuman cues? Researchers Udell, Giglio, and Wynne tested a small number of dogs in order to answer these questions. In this exploration, we wll first see whether dogs can understand human gestures as well as nonhuman gestures. To test this, the researchers positioned...
An experiment on memory was performed, in which 16 subjects were randomly assigned to one of two groups, called "Sentences" or "Intentional". Each subject was given a list of 50 words. Subjects in the "Sentences" group were told to form multiple sentences, each using at least two words from the list, and to keep forming sentences until all the words were used at least once. Subjects in the "Intentional" group were told to spend five minutes memorizing as many of...
Name: Section Number To be graded assignments must be completed and submitted on the original book page Hypothesis Testing -As a Diagnostic Test ? Answer the following questions over the content material you just read or watched. 1. What is a false positive rate in the context of hypothesis testing? 2. What is the goal of hypothesis testing? 3. What is a Type I error, and how is it related to an "alpha level?" 4. What does it mean to...