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- Lecture 2: Types of Error Level of Significance Type 1 Error occurs when we reject the null hypothesis when it is The probability of committing type 1 error is called level of significance. true. It is also called as alpha error (a error). Type 2 Error occurs when we fail to reject (accept) the null hypothesis when it is false. It is also called beta error (8 error). It is denoted by the Greek letter alpha error (cc error). Thus, the value of alpha tells us the probability of making error in rejecting the null hypothesis when it is true. The choice for the value of the significance level is determined by the researcher. This depends on the risk or degree of confidence the researcher is willing to take in committing Type I error. The commonly used levels of significance are 0.05 and 0.01. The level of significance should be set before the testing the hypothesis. Activity 2: C. Identify the type of error if there is any committed in each of the following situations. A true null…Cise Science Ap... Program: Exercise S... E Connect IMATH MATH 1342 Spring 2021-. Elementary Statistics Enhancad, 3rd Ed. Logout Welcome, Daniel Ekema! Hosted by ALEKS Corp Test 3 (Chapters 8-9, 12.1) eBook DE Help ? 1. 21 4 7. 10 11 12 13 14 15 16 17 Question 2 of 17 (1 point) Attempt 1 of 1 View question in a popup Ở 1h 22m Remaining 8.1Section Exercise 44 How many computers? In a simple random sample of 180 households, the sample mean number of personal computers was 1.03. Assume the population standard deviation is o = 0.34. Part 1 of 4 (a) Construct a 99.5% confidence interval for the mean numb decimal places. of personal computers. Round the answer to at least two A 99.5% confidence interval for the mean number of personal computers isThe second slide is the first part of the question and the first slide is the second part of the questionExpress the null hypothesis and the alternative hypothesis in symbolic form. Use the correctsymbol (µ, p, Η) for the indicated parameter. An entomologist writes an article in a scientific journalwhich claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to agenetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.Question 5A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 56 of 100 individuals prefer Brand A. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) Ho: p = Po versus H,: p#Po for po = 0.45, 0.46, 0.47, ., 0.65, 0.66, 0.67 at the a = 0.05 level of significance. For which values of po do you not reject the null hypothesis? What do each of the values of po represent? Do not reject the null hypothesis for the values of Po between and , inclusively. (Type integers or decimals as needed.)Problem 2Question 3 A tire company claims that its tires last more than 50,000 miles on average. What would be a type Il error in this situation? The tirés do last longer than 50,000 miles on average and you conclude that they do. A. The tire do not last longer than 50,000 miles on average and you do not have enough evidence to say that they do. В. The tires do last longer than 50,000 miles on average but you do not have enough evidence to say that they do. C. The tires do not last longer than 50,000 miles on average but you conclude that they do. D.QUESTION 13 The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested. H0: p = 0.93 H 1: p> 0.93 O Left-tailed, O Left-tailed, p Right-tailed, p O Right-tailed, fA blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer. Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 48 of 100 individuals prefer Brand A. Complete parts a through c. (a) Conduct a hypothesis test (preferably using technology) Ho: p= Po versus H,: p#Po for po = 0.37, 0.38, 0.39, .., 0.57, 0.58, 0.59 at the a = 0.05 level of significance. For which values of po do you not reject the null hypothesis? What do each of the values of po represent? Do not reject the null hypothesis for the values of po between and inclusively. (Type integers or decimals as needed.)QUESTION 1 If the alternate hypothesis states that p # 4,000, where is the rejection region for the hypothesis test? O 1. In the lower or left tail O 2. In the center O 3. In the upper or right tail O 4. In both tails Click Save and Submit to save and submit. Click Save All Answers to save all answers. hpUSE THE 8-STEP HYPOTHESIS TESTING In a study by Xiao and Shi (A-14), researchers studied the effect of cranberry juice in the treatment and prevention of Helicobacter pylori infection in mice. The eradication of Helicobacter pylori results in the healing of peptic ulcers. Researchers compared treatment with cranberry juice to "triple therapy (amoxicillin, bismuth subcitrate, and metronidazole) in mice infected with Helicobacter pylori. After 4 weeks, they examined the mice to determine the frequency of eradication of the bacterium in the two treatment groups. The following table shows the results. Triple therapy Cranberry juice No. of Mice with Helicobacter pylori Eradicated Yes No 8 2 2 8 Source: Shu Dong Xiao and Tong Shi, "Is Cranberry Juice Effective in the Treatment and Prevention of Helicobacter Pylori Infection of Mice," Chinese Journal of Digestive Diseases, 4 (2003), 136-139. May we conclude, on the basis of these data, that triple therapy is more effective than cranberry…SEE MORE QUESTIONS
