A manufacturer of apple phone charges claims that only 4% of his production is defective. In a random sample of 120 items, the defect rate is 4.99%. At the 1% level of significance, test the manager's claim. i. State the null and alternative hypotheses for the test

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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What is an experiment?
A group of researchers wants to know whether men (population 1) are more likely than women (population 2) to contract a novel coronavirus. They surveyed two random samples of 490 men and 480 women who were tested and found that 52 men and 91 women in the samples tested positive. Can you conclude that the proportion of positive tests among men is less than the proportion of positive tests among women? Use level of significance 5%. Procedure: Select an answer Step 1. Hypotheses Set-Up: where Select an answer the Ho: Select an answer Select an answer and the units are Select an answer Ha: Select an answer , and the test is Select an answer Step 2. The significance level a (Round the answer to 3 Step 3. Compute the value of the test statistic: Select an answer decimal places) Step 4. Testing Procedure: (Round the answers to 3 decimal places) CVA PVA Provide the critical value(s) for the Rejection Region: Compute the P-value of the test statistic: left CV is and right CV is P-value is Step…
A random sample of 170 donations at a certain blood bank reveals that 84 were Type A blood. Does this suggest that the actual percentage of Type A donations differs from 45%, of the population having Type A blood? A. State H0 and Ha B. Test the hypothesis using the P-Value approach at a significance level of 3%, and express your decision. C Based on the given data, determine the extreme value without rejecting the H0.
You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:P1 – P2 = 0 H.:P1 - P2 < O You obtain 57.1% successes in a sample of size n1 = 455 from the first population. You obtain 67.4% successes in a sample of size n2 = 706 from the second population. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null hypothesis O accept the null hypothesis O fail to reject the null hypothesis
Use a 0.05 significance level to test the claim that there is a difference between the actual and reported heights, in inches, for 12-16 year old boys. The data is listed in the table below. Click the icon to view the data table of the reported heights. Let μ₁ denote the median of the first variable and μ₂ denote the median of the second variable. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ C. Ho: H₁ H2 H₁: H₁ H₂ Find the test statistic. Test statistic = -2.26 (Round to two decimal places as needed.) CH More Info OB. Ho: H₁ H₂ H₁: P1 P₂ OD. Ho: ₁2H₂ H₁ H₁ H₂ Actual 61.9 67.9 71.2 61.4 62.3 68.8 65.9 70.8 61.9 66.7 Reported 62 68 71 62 61 69 66 70 62 67 Actual 59.6 71.9 64.5 64.4 71.9 69.1 68.8 68.1 71.7 62.5 Reported 60 72 64 64 72 69 68 68 72 62 Actual 65.2 59.9 64.8 65.5 67 Reported 65 60 65 66 67 Print 68.7 65.2 71.4 69.2 60.9 69 65 72 69 61 Done - X
3. A drug considered unsafe if more than 5% of the patients develop serious side effects. In order to study the safety of a new drug, a Company tests the following null and alternative hypotheses. H :T 0.05: Discuss the type I and Type II error in this situation. Is this a good test? Explain. a
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use the traditional method. Identify the null and alternative hypotheses, test statistic, critical value(s),and state the final conclusion that addresses the original claim. Use a significance level of a=0.05 to test the claim that population mean=32.6 The sample data consist of 15 scores for which x=42.5 and s=5.9. Use the traditional method of testingn hypotheses.
3. At a certain college, it is estimated that fewer than 25% of the students have cars on campus. Does this seem to be a valid estimate if, in a random sample of 90 college students, 28 are found to have cars? Use a 0.05 level of significance. I Step 1: State the null and alternative hypothesis in words. Step 3: Compute test statistic HO: H1: Step 2: Level of Significance and Critical Value/s and Step 4: Decision is Region Step 5: State the conclusion. -2
Provide an appropriate response. Test the hypothesis that p1 = P2. Use a = 0.05. The sample statistics listed below are from independent samples. Sample statistics: n1 = 50, x1 35, and n2 = 60, x2 = 40 Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis: Step 5) Write the conclusion. HTML Editor BIUA A、IE三= Ex x E 曲。 12pt Pa SAMSUNG 10
3. Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed. 150 150 180 170 a. State the null and alternative hypotheses and describe a Type I error and a Type II error for this situation. b. Using a critical value, test the hypothesis at the 10% level of significance. What's your conclusion?
A janitor at a large office building believes that his supply of light bulbs has a defect rate that is higher than the defect rate stated by the manufacturer. The janitor's null hypothesis is that the supply of light bulbs has a manufacturer's defect rate of p=0.09. He performs a test at a significance level of 0.01. The null and alternative hypothesis are as follows: Ho: p=0.09 and Ha p>0.09. Choose the statement that best describes the significance level in the context of this scenario O a. The probability of concluding that the defect rate is equal to 0.00 when in fact it is greater than 0.00 Ob The test statistic that we will use to compare the observed outcome to the null hypothesis Oc The probability of concluding the defect rate is more than 0.09 when it is equal to 0.00 Od. The defect rate we believe is the true defect rate
Answer the given problem. Use the steps in hypothesis testing when presenting the results. A health researcher is interested in comparing 3 methods of weight loss: low calorie diet, low fat diet and high exercise regimen. He selected 15 moderately overweight subjects and randomly assigned 5 to each weight-loss program. The following weight reductions (in lbs) were observed after a one-month period. Test the hypothesis that the extent of weight reduction does not differ by type of weight-loss program. Low Fat : 7 7 5 4 6 Low Calorie : 7 8 8 5 High Exercise Regimen: 7 9 7 9 8 8