**Understanding an Experiment on Touch Therapists and Energy Field Detection**When she was 9 years old, a girl conducted a science fair experiment to evaluate whether professional touch therapists could sense her energy field. This experiment involved flipping a coin to randomly choose either her right hand or left hand. The therapists were then asked to identify the chosen hand by placing their hand just below hers without being able to see or touch it directly. In total, there were 241 trials conducted, and the touch therapists correctly identified the selected hand in 100 of those trials. To assess if the touch therapists' ability was equivalent to random guessing, a significance level of 0.05 was used in the analysis. This raises the question: Are touch therapists effective based on these trial results?**Hypotheses Identification**To statistically test the claim regarding the effectiveness of touch therapists, we define \( p \) as the population proportion of correct hand selections by the therapists.- Null Hypothesis (\( H_0 \)): \( p = 0.5 \)- Alternative Hypothesis (\( H_1 \)): \( p \neq 0.5 \)This set of hypotheses will help determine if the observed results are statistically different from random guessing.**Test Statistic Calculation**To evaluate the hypothesis, calculate the test statistic \( z \) using the given data. This value will be rounded to two decimal places as needed for further analysis.

Answered: Image /qna-images/answer/3d753fff-d4dc-4bb9-a84c-08ab132619d0.jpg

Answered: flipped a coin to select either her…

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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The US Department of Energy reported that 49% of homes were heated by natural gas. A random sample of 327 homes in Oregon found that 143 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 10% significance level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: Based on the hypotheses, compute the following:b. Test Statistic = c. p-value = d. Based on the above we choose to e. The correct summary would be: that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 49%. Question HelpQuestion 14: Video1
Consumer Reports did a survey of 1100 adults and found that 565 were unhappy that their food did not look like the picture in the menu. Use a 0.05 significance level to test the claim that the majority of adults are annoyed by food that does not look like the picture in the menu. What is the test statistic for this problem? TTTArial 3 (12pt) v T- E
Find A. Hypothesis and identify claim B. Compute test value C. Find p value D. Make decision E. Summarize results
It has been claimed that at a university at least 40% of the students live on campus. In a random sample of 250 students, 90 were found to live on campus. What is the test value for testing the claim at a=.02? O A. - 2.33 B. 1.32 O C. -1.32 O D. - 1.29
The US Department of Energy reported that 48% of homes were heated by natural gas. A random sample of 331 homes in Oregon found that 132 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 1% significance level. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: Based on the hypotheses, compute the following:Test Statistic = p-value = Based on the above we choose to The correct summary would be: that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 48%.
Q3. What is a research hypothesis and why is it important to carry-out research? Differentiate between Type I and Type II error and give an example for each.
An automotive company is conducting a survey concerning consumer buying preferences of a particular truck. The company wants to know whether the truck appearance, miles per gallon (MPG), or fixed price most influenced the consumer’s buying decision. A population sample of 500 individuals, both male and female, will be surveyed. State the null and alternative hypothesis if your were to test whether there is any difference in proportion using the three different criterion to purchase the given car based on gender.
A manufacturer claims that 10% of women using the "pill" suffer from side effects. The Federal Drug Administration (FDA) believes that the manufacturer's claim is too low and decides to test the manufacturer's claim at a 5 %. A random sample of 900 women who use the manufacturer's pill shows that 103 suffer side effects. The p-value of this test is: O a. 0.1144 Ob. 0.0644 O C. 0.1000 Od. 0.0743 e. 0.0144
Use SPSS for this Application Exercise: A health psychologist want to investigate whether there is a relationship between sex and food preference. The psychologist gave participants a questionnaire that asked which food the participants would choose to eat given the choice. What can be concluded with an a of 0.05? Food Sex spaghetti carrots donuts female 20 16 21 male 25 18 i. What is the appropriate test statistic? --Select- Compute the statistic selected in a): ii Obtain/compute the appropriate values to make a decision about Ho- p-value = Decision: -Select-- i Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and/or select "na" below. Effect Size = ]: Magnitude: -Select-- iv I Make an interpretation based on the results. O There is a significant negative relationship between sex and food preference. O There is a significant food preference difference between sex. O Food preference and sex are independent.
The average house has 15 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 16 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 18, 15, 17, 14, 16, 17, 18, 15, 15, 14, 14, 14, 15, 15, 16, 18 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: Select an answer v H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly more than 15 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in…
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Determine the P-value for a two-sided test with t = 2.85 and n=9 O a. 0.015 O b. 0.01 OC. 0.035 O d. 0.0175

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