Conduct a full hypothesis testing on the following problem and then choose among the options what bestfits the items being asked:To test a claim that eating fish makes one smarter, a random sample of 12 persons take a fish oilsupplement for one year and then are given an IQ test. Here are the results:116 111 101120 9994 10611510791 101 92Is there sufficient evidence to support the claim if the standard IQ on record is 100? Use 5%significance level.Note: Round off the mean and SD in this given to 1 decimal place only, and the test statistic value to3 decimal places. If two-tailed test is to be applied, the given critical values as options are consideredthe absolute values.Identify the following:• Statistical Test: Select• Critical Value: Select]• Test Statistic: Select]• Conclusion: Select ]

The question is about hypo. testing of a popl. mean Given data : 116, 111, 101, 120, 99, 94, 106,…

Answered: Conduct a full hypothesis testing on…

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 the following using the 5-step hypothesis testing procedure: A television channel claims that 40% of the population who watch TV patronize their TV channel. After collecting 70 samples, they found that 30 of them watch the said TV channel. Use ɑ=0.01 to test their claim.
Use a computer or calculator to find the p-value for the following hypothesis test, if χ2* = 36.33 for a sample of n = 31. (Give your answer correct to four decimal places.) Ho: σ = 12.4 vs. Ha: σ > 12.4
In a recent sample of 250 households, 45% of them owned a video game console. A hypothesis test was performed using the following hypotheses: Họ : p = 0.40 vs. H, : p> 0.40. A Type II error for this hypothesis test is: To conclude that 40% of households own a video game console when, in reality, it is more than 40%. To conclude that 40% of households own a video game console when, in reality, it is equal to 40%. To conclude that r than 40% of households own a video game console when, in reality, it is more than 40%. To conclude that more than 40% of households own a video game console when, in reality, it is equal to 40%.
In a recent sample of 250 households, 45% of them owned a video game console. A hypothesis test was performed using the following hypotheses: H_0: p = 0.40 \text{ vs. } H_a: p > 0.40H0:p=0.40 vs. Ha:p>0.40. A Type II error for this hypothesis test is: To conclude that 40% of households own a video game console when, in reality, it is more than 40%. To conclude that 40% of households own a video game console when, in reality, it is equal to 40%. To conclude that more than 40% of households own a video game console when, in reality, it is more than 40%. To conclude that more than 40% of households own a video game console when, in reality, it is equal to 40%.
An experimenter flips a coin 100 times and gets 54 heads. Test the claim that the coin is fair against the two-sided alternative. (Null and Alternate Hypothesis and Test Statistic) A. Ho: p = 0.50; Ha: p < 0.50; z = 0.800 B. Ho: p = 0.50; Ha: p > 0.50; z = 0.800 C. Ho: p = 0.50; Ha: p > 0.50; z = 0.081 D. Ho: p = 0.50; Ha: p ≠ 0.50; z = 0.800 E. Ho: p = 0.50; Ha: p ≠ 0.50; z = 0.081 (p-value and conclusion) A. p = 0.540; FRHo (No sufficient evidence to reject the claim) B. p = 0.424; RHo (Sufficient evidence exists to reject the claim) C. p = 1.576; FRHo (No sufficient evidence to reject the claim) D. p = 0.424; FRHo (No sufficient evidence to reject the claim) E. p = 1.576; RHo (No sufficient evidence to reject the claim)
A group of n = 10 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Carry out an appropriate hypothesis test at the α=6% significance level. studen 1 2 3 4 5 6 7 8 9 10 Car 17 20 10 25 20 18 10 20 20 10 bus 12 15 12 18 22 10 12 22 15 12 Difference 5 5 -2 7 -2 8 -2 -2 5 -2 a. What range of values is the p-value in? b. Is there evidence to reject H0 with the adopted significance level?
an experimenter conudcted a two-tailed hypothesis test on a set of data and obtained a p-value of 0.30. If the experimenter has conducted a one-tailed test on the same set of data, which of the following is true about the possible p-values(s) that the experimenter could have obtained? a) the possible p-values are 0.15 and 0.95 b) the only possible p-value is 0.15 c) the only possible p-value is 0.60 d) the possible p-values are 0.15 and 0.85 e) the only possible p-value is 0.30
The commissioner of the state police is reported as saying that about 10% of reported auto thefts involve owners whose cars haven't really been stolen. What null and alternative hypotheses would be appropriate in evaluating this statement made by the commissioner? H0: p ≥ 0.10 and H1: p < 0.10 H0: p ≤ 0.10 and H1: p > 0.10 H0: p > 0.10 and H1: p ≤ 0.10 H0: p = 0.10 and H1: p ≠ 0.10
A group of n = 10 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Carry out an appropriate hypothesis test at the α=6% significance level. Aluno 1 2 3 4 5 6 7 8 9 10 Carro 17 20 10 25 20 18 10 20 20 10 Ônibus 12 15 12 18 22 10 12 22 15 12 Diferença 5 5 -2 7 -2 8 -2 -2 5 -2 a. The test hypotheses in this study are: H0:μd=μCar−μbus=0 and Ha:μd=μCar−μBus≠0? b. The test statistic value calculated based on the data is: c. The critical (absolute) value of the test for the desired significance level is:
1) A sample of n = 200 college students are asked if they believe in extraterrestrial life and 120 of these students say that they do. The data are used to test if more than half of college students believe in extraterrestrial life. a. State the null and alternative hypothesis. b. Give the P- value c. Give a conclusion for the hypothesis test
In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008). Nationally 1 in 88 children are diagnosed with ASD ("CDC features -," 2013). Is there sufficient data to show that the incident of ASD is more in Arizona than nationally? Test at the 1% level. (i) Which of the following statements correctly defines the null hypothesis HO? A. p = 0.011 B. μ = 507 C. μ < 507 D. p < 0.011 Enter letter corresponding to correct answer (ii) Which of the following statements correctly defines the alternative hypothesis HA? A. p = 0.011 B. μ = 507 C. μ < 507 D. p > 0.011 Enter letter corresponding to correct answer (iii) Enter the level of significance α used for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10 (iv) Determine pˆiv Determine p^ Enter in decimal form to nearest ten-thousandth.…
The marketing division of a news agency took a survey of 2,540 randomly chosen people, asking them the following 2 questions:(1) "Have you visited our website this week?", and(2) "What is your age group?" Accessed the website Age Yes No Less than 20 years 470 159 20-39 years 565 130 40-59 years 420 169 60 or more years 509 118 (a) Identify the appropriate null and alternative hypotheses: A. H0: p1 = p2 = 1/2 vs. Ha: at least one of the p's is different from 1/2 B. H0: p1 = p2 = p3 = p4 = 1/4 vs. Ha: at least one of the p's is different from 1/4 C. H0: Online news viewing is related to age vs. Ha: Online news viewing is not related to age D. H0: Online news viewing is not related to age vs. Ha: Online news viewing is related to age (b) The test statistic is 9.731. What is the p-value? (Use 4 decimals.) (c) What is the appropriate conclusion for ? = 0.05? (Reject Ho/ Dont reject). There is (sufficient/ insufficient) evidence that online news viewing (is/ is not)…

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