A large manufacturing company is being sued for false advertisement because 15% of the batteries in its shipping boxes are defective, but the company claims that only 5% are defective. You plan to use hypothesis testing to determinewhether there is significant evidence that the company is falsely advertising.Part A: State the null and alternate hypotheses for the significance test.Part B: In the context of the problem, what would a Type I error be? A Type II error?Part C: If the hypothesis is tested at a 5% level of significance instead of 1%, how will this affect the power of the test?Part D: If the hypothesis is tested based on the sampling of 500 boxes of batteries rather than 100 boxes of batteries, how will this affect the power of the test?

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Answered: A large manufacturing company is being…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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ANSWER A B C (b)Based on the answer to part (a), choose the correct statement. ___ The value of the test statistic is in the rejection region. ___ The value of the test statistic is not in the rejection region. (c)Based on your answer to part (b), which of the following statements is true at the significance level of 0.10 ? ___The null hypothesis must be rejected. ___The null hypothesis should not be rejected.
How do you know when to reject the hypothesis and when to fail to reject it, and whether there is -or is not -sufficient evidence to support a claim?
For the given hypothesis test, explain the meaning of the kind of error, as requested. A statistics student has heard that about 32% of the students on his campus attend sporting events weekly. He wants to know if statistics students attend events in the same proportions as the general student body. Explain what the second type of error would be in this case (where the student fails to reject a null hypothesis that is actually false). A. The second kind of error would be saying that there is no difference in the attendence of statistics students and the student body as a whole at sporting events, even though statistics students actually go much less often. B. The second kind of error would be saying that statistics students attend sporting events in different proportions than the student body as a whole, even though they actually have the same attendence proportion. C. The second kind of error would be saying that there is no difference in the…
You accept the alternative hypothesis when you reject the null hypothesis. justify the above statement?
A textbook publisher claims that 75% of college students enrolled in a course that uses their textbooks pass the class. One professor thinks the proportion is actually higher. He surveys 111 students in classes that use a textbook from the textbook publisher and finds the 92 of those students ultimately pass the class. Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Ho: ?v?v Ha: ? ?v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P(? v ? v = P(?v?v p-value = Step 4: Make a Conclusion About the null hypothesis. Since the p-value = = a, we Select an answer v the null hypothesis. O We cannot…
When conducting a hypothesis test, we hope to avoid commiting a type 1 error, which is: 1. Not as bad as committing a type 2 error 2. rejecting a null hypothesis when it is true 3. rejecting the alternate hypothesis when it is true 4. accepting the null hypothesis when the alternate hypothesis is true
I. Do the following:a. State the null and alternative hypotheses, identify which represents the claim,b. Determine when a type I or type II error occurs for a hypothesis test of the claim.c. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Explain your reasoning.d. Explain how you should interpret a decision that rejects the null hypothesis.e. Explain how you should interpret a decision that fails to reject the null hypothesis.ProblemAn agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days.II. Conduct a hypothesis testA research center claims that less than 50% of senior high school students in public schools in the Philippines have accessed the Internet using cellular phones. In a random sample of 100 SHS students, 39% say they have accessed the Internet using cellular phones. At = 0.01, is there enough evidence to support the researcher’s claim?
2. Can hypothesis testing ever prove a hypothesis true? How should we interpret an experiment where we fail to reject the null hypothesis?
For several years, a political party has had 38% support among the population of potential voters. However, the party has recently changed its branding, and the party leadership wishes to know whether support for the party has changed. A random sample of voters is selected, and each person in the sample is asked whether he or she supports the party. Using the results, a hypothesis test is performed in order to find out whether there is convincing evidence of a change in the level of support for the party. A standardized z statistic is used, and a p-value is calculated. The p value is... (be sure to read the options below carefully...) a) the probability that support for the party has changed. b) the probability of getting the z statistic calculated in the study, given that support for the party has not changed. c) the probability of getting a z statistic at least as far from zero as the one in the study, given that support for the party has not changed. d) the probability that…
Which of the following is the first step in hypothesis testing? (a) Developing a null and alternative hypothesis. (b) Drawing a sample from the population. (c) It does not matter where you begin when you test hypotheses. (d) Setting the cutoff value for rejecting the null hypothesis.
A researchers claims 45% of couples have children. They conduct a hypothesis test and reject the null hypothesis. What type of error could have been committed here? Type 1, type 2, or power if the test?
What does it mean when sample results are statistically significant?

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