A random sample of 750 registered voters in Phoenix is asked if they favor the use of oxygenated fuelsyear-round to reduce air pollution. If more than 315 voters respond positively, we will conclude that atleast 40% of the voters favor the use of these fuels.Question-1Formulate the null and alternative hypothesisQuestion-2Find the probability of type I error if exactly 40% of the voters favor the use of these fuels.Question-3What is the type II error probability B if 38% of the voters favor this action?Question-4Would increasing the sample size decrease the probability of rejecting the proportion that 40% are infavor of the use of oxygenated fuels v Question-1a. Ho: p = 0.4, H: p# 0.4v Question 2v Question 3b. Yes, increasing the sample size will decrease the probability of committing type I errorc. 0 probabilityv Question 4d. 0.2974e. 0.08535f. Ho: p = 0.4, H1: p > 0.4g. Yes, increasing the sample size will increase the probability of committing type I errorh. 0.1318

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Answered: A random sample of 750 registered…

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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Researchers studying starfish collected two independent random samples of 40 starfish. One sample came from an ocean area in the north, and the other sample came from an ocean area in the south. Of the 40 starfish from the north, 6 were found to be over 8 inches in length. Of the 40 starfish from the south, 11 were found to be over 8 inches in length. Which of the following is the test statistic for the appropriate test to investigate whether there is a difference in proportion of starfish over 8 inches in length in the two ocean areas (north minus south) ? 6−11640+1140√ A 6−110.1540+0.27540√ B 0.15−0.275(0.15)(0.275)(140+140)√ C 0.15−0.275(0.2125)(0.7875)(140+140)√ D 0.15−0.275(0.2125)(0.7875)140+140√
which of the following are correct? I. One purpose of a double-blind study is to control for researcher bias and placebo effect. II. The main purpose of randomizing individuals to treatment groups is to control for bias. III. Replication is used to help reduce chance variation in experiments.
About 30% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. Is the experiment a binomial experiment? Yes No What is a success in this experiment? a.Baby recovers b.This is not a binomial experiment. c.Baby doesn't recover Specify the value of n or not A. n=? B. This is not a binomial experiment. -Specify the value of p or is This not a binomial experiment. -Specify the value of q. A. q=? B. This is not a binomial experiment. List the possible values of the random variable x.
The National Academy of Science reported that 41% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 186 recent articles published by reputable mathematics research journals and finds that 92 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%? Use a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. circle the answer below. H0 p=0.41 ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41 A.<B.≠C.> Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is insufficient evidence at a…
A student at a university wants to determine if the proportion of students that use iPhone's is less than 0.38. The hypotheses for this scenario are as follows. Null Hypothesis: p = 0.38, Alternative Hypothesis: p < 0.38. If the student randomly samples 29 other students and finds that 12 of them use iPhone's, what is the test statistic and p-value?
11
Determine whether the results appear to have statistical significance, and also determine whether the results appear to have practical significance. In a study of a birth sex selection method used to increase the likelihood of a baby being born female, 1916 users of the method gave birth to 941 males and 975 females. There is about a 23% chance of getting that many babies born female if the method had no effect. Because there is a 23% chance of getting that many babies born female if the method had no effect, the method couples would likely use a procedure that raises the likelihood of a baby born female from the approximately 50% rate expected by chance to the % produced by this method. (Round to the nearest integer as needed.) So, this method has statistical significance. does not have practical significance. should be used to make conclusions. has practical significance.
You currently work for the DARPA, the Defense Advanced Research Projects Agency. You've received reports of some strange things occurring in the small town of Hawkins, Indiana. Let U be a random variable equal to 1 if the citizen has been to the Upside Down and 0 otherwise. Let S be a random variable equal to 1 if a citizen reports being in the presence of a group of misfit kids who claim to be "saving the town" and 0 otherwise The table below shows the joint probability density function for the galactic population Share of Population 0.15 0.32 0.50 0.03 U 0 0 1 1 S 1 0 1 0 Round to 2 decimal places where necessary, unless otherwise stated. Leave your answer in decimals, rather than convert to percentages. A. Evaluate Fu,s (1,0): B. Calculate the share of people who have been to the Upside Down in the population. That is, E(U): C. Calculate the probability of having gone to the Upside Down conditional on meeting this band of misfit kids?. That is, Fus (11):
Determine whether the results appear to have statistical significance, and also determine whether the results appear to have practical significance. In a study of a birth sex selection method used to increase the likelihood of a baby being born female, 2031 users of the method gave birth to 995 males and 1036 females. There is about a 19% chance of getting that many babies born female if the method had no effect. Because there is a 19% chance of getting that many babies born female the method had no effect, the method couples would likely use a procedure that raises the likelihood of a baby born female from the approximately 50% rate expected by chance to the % produced by this method. (Round to the nearest integer as needed.) So, this method
A dowser has correctly located water for a well 1 out of 2 times in Jones County. In Jones County, someone who is just guessing has a 40% chance of locating water for a well. Does this sample provide sufficient evidence that the dowser can locate water and is not just guessing?
7) A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Number of complaints 0 1 2 3 4 5Probability 0.18 0.26 0.35 0.09 0.07 0.05 What is the variance of complaints received per week? Please round your answer to the nearest hundredth.

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