**6.55 More on determining hypotheses.** State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_a \) in each case. Be sure to identify the parameters that you use to state the hypotheses.(a) A university gives credit in first-year calculus to students who pass a placement test. The mathematics department wants to know if students who get credit in this way differ in their success with second-year calculus. Scores in second-year calculus are scaled so the average each year is equivalent to a 77. This year, 21 students who took second-year calculus passed the placement test. **Transcription for Educational Website:****b) Experiment on Learning in Animals:**Researchers often conduct experiments on learning in animals by measuring the time it takes for a mouse to navigate a maze. In this particular study, the mean time recorded for completing the maze is 20 seconds. The researcher posits that exposure to rap music might slow down the mice's navigation. To test this hypothesis, the researcher measures the time it takes for each of 12 mice to traverse the maze while listening to rap music as a stimulus.**c) Evaluating Apartment Advertisements:**In a new student-housing development, the advertised average size for one-bedroom apartments is 880 square feet. However, a group of students suspects that the actual apartment sizes are smaller than stated. To investigate their suspicion, they employ an engineer to measure the square footage of a sample of the apartments.

The question is about hypo. testing Introduction : 1 ) If claim / research statement has =, ≥ or ≤…

Answered: 6.55 More on determining hypotheses.…

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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Evolution and Scientists. A professor claims that more than 83% of all scientists believe in evolution. In a 2014 Pew Research survey of a representative sample of 162 scientists connected to the American Association for the Advancement of Science (AAAS), 146 of these scientists say they believe in evolution. Perform a hypothesis test of the professor's claim using these data.(a) Select the correct null and alternative hypotheses. Ho: p = 0.83Ha: p ≠ 0.83 Ho: p = 0.9Ha: p ≠ 0.9 Ho: p = 0.83Ha: p > 0.83 Ho: p = 0.9Ha: p > 0.9 Ho: p = 0.83Ha: p < 0.83 Ho: p = 0.9Ha: p < 0.9 (b) Find the p-value (round to 4 decimals). (c) Decide whether or not to reject the null hypothesis when α=0.05α=0.05. Fail to reject null hypothesis Reject null hypothesis (d) You should decide that ... there is not enough evidence at α=0.05α=0.05 that more than 83% of scientists believe in evolution. there is enough evidence at α=0.05α=0.05 that more than 83% of scientists believe in evolution.
Please answer A B C(a) What conditions should you check first before you conduct the hypothesis test?(b) Write the null and alternative hypotheses.(c) What type of test are you doing: right-tailed, left-tailed or two-tailed?(d) What formula should be used for the test statistic?(e) What number is the test statistic equal to?(f) Sketch a graph of the p-value(g) What p-value do you obtain? Round to the ten-thousandths.(h) Do you reject the null hypothesis or fail to reject the null hypothesis? Explain.(i) Please write a conclusion sentence, in the context of the problem, that explains to a lay person the result of the hypothesistest.
STEPS IN STATISTICALHYPOTHESIS TESTING 1. Analyze the problem2. Formulate the null and alternative hypothesis3. Determine the tails of the test4. Determine the test to be used5. Compute6. Conclude Instruction:Using the steps in hypothesis testing, test the following hypotheses using the appropriate test statistic. A student would like to know which establishment would allow him to save more money from everyday food costs. He is choosing between AVM or Hollywood Terraces, so he traced his spending in both establishments for 1 school week each, his data is as follows:AVM: 97, 85, 69, 105, 105HT: 60, 45, 60, 75, 100
You may need to use the appropriate appendix table or technology to answer this question. In 2012, seventy percent of Canadian households had an internet connection. A sample of 370 households taken in 2013 showed that 76% of them had an internet connection. We are interested in determining whether or not there has been a significant increase in the percentage of the Canadian households that have internet connections. (a) State the null and alternative hypotheses to be tested. (Enter != for as needed. Let p be the proportion of all Canadian households with internet connections.) Ho: на: (b) Compute the test statistic. (Round your answer to two decimal places.) (c) The null hypothesis is to be tested at the 5% level of significance. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic (d) What do you conclude? Do not reject Ho. We can conclude that there has been a…
The board of directors for Procter and Gamble is concerned that only 19% of the people who use toothpaste buy Crest toothpaste. A marketing director suggests that the company invest in a new marketing campaign which will include advertisements and new labeling for the toothpaste. The research department conducts product trials in test markets for one month to determine if the market share increases with new labels. Write the company's null and alternative hypotheses. Ho: In this context describe a Type I error and the impact such an error would have on the company. O Rejecting the null hypothesis when in fact it is true O Failing to reject the null hypothesis when in fact it is false In this context describe a Type Il error and the impact such an error would have on the company. O Rejecting the null hypothesis when in fact it is true O Failing to reject the null hypothesis when in fact it is false Based on the data they collected during the trial the research department found that a…
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Several recent studies have suggested that people who suffer from abnormally high blood pressure can benefit from regular exercise. She conducts a small sample of 3 random patients with high blood pressure and measures blood pressure before and after the exercise program. Subject Before After 1 155 133 2 160 140 3 145 120 Conduct a test to see if the claim is supportive. State the hypotheses from the previous problem. (high blood pressure problem)
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The U.S. Department of Labor stated that the national unemployment rate was 4.9%. Of a sample of 90 people in one city, 5.2% were unemployed. Can the city conclude that their unemployment rate is the same as the national average? Do we reject the null hypothesis? (Answer on Excel)

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