You wish to test the following claim (Ha) at a significance level of a0.01.Ho: 41Ha: µ1 # µ2You believe both populations are normally distributed, but you do not know the standard deviationsfor either. However, you also have no reason to believe the variances of the two populations are notequal. You obtain the following two samples of data.Sample #1Sample #252.466.656.94451.349.351.650.458.731.354.426.439.950.148.324.950.936.654.763.461.242.3 36.332.137.758.467.135.434.156.143.154.7694856.157.843.154.133.249.5What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =What is the p-value for this sample? For this calculation, use the degrees of freedom reported fromthe technology you are using. (Report answer accurate to four decimal places.)p-value = The p-value is...O less than (or equal to) agreater than aThis test statistic leads to a decision to...O reject the nullO accept the nullO fail to reject the nullAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection of the claim that the first population mean isnot equal to the second population mean.O There is not sufficient evidence to warrant rejection of the claim that the first populationmean is not equal to the second population mean.O The sample data support the claim that the first population mean is not equal to the secondpopulation mean.O There is not sufficient sample evidence to support the claim that the first population mean isnot equal to the second population mean.

Answered: Image /qna-images/answer/bb7a03f9-db1e-493d-9d61-211ba4bd036c.jpg

Answered: The p-value is... O less than (or equal…

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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You wish to test the following claim (Ha) at a significance level of a = 0.10. Ho: p=0.26 Ha:p> 0.26 You obtain a sample of size n = 209 in which there are 72 successful observations. For this test, y should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the norm distribution as an approximation for the binomial distribution.) The p-value for this test is (assuming Ho is true) the probability of observing... O at most 72 successful observations O at least 72 successful observations What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null
What is stated by the null hypothesis for the chi-square test for independence? a. There is no relationship between the two populations regarding the two variables. b. Both variables have the same frequency distribution. c. The two variables have different frequency distributions. d. There is a relationship between the two populations regarding the two variables.
2. We ask whether people will score higher or lower on a questionnaire of their well-being when they are exposed to sunshine compared to when they're not exposed to sunshine. A sample of 8 people is first measured after low levels of sunshine exposure and then again after high levels of exposure. We get the following pairs of scores: Low: 14 13 17 15 18 17 14 16 High: 18 12 20 19 22 19 19 16 a. State the null and alternative hypotheses. b. Using an alpha = 0.05, what is t (crit)? c. Using SPSS, calculate t (obu) (Use paired/related sample t test to obtain this info) d. What should you conclude?
You are conducting a multinomial hypothesis test (a 0.05) for the claim that all 5 categories are equally Likely to be selected. Complete the table. Observed Expected Frequency Frequency Category A 11 8 D 25 E 19 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null
It is a claim about a population characteristic that is initially assumed to be true. A. Alternative hypothesis B. Null hypothesis C. One-tailed Test D. Two-tailed Test
..
_________ If one concludes that there is NO difference between the sample mean and the population mean, then: a) an alpha error has been committed b) the null hypothesis has been rejected c)there must have been no bias in the sample d) the null hypothesis has been retained
11:39 1 A myopenmath.com You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Observed Expected Category Frequency Frequency A 13 В 11 C 12 17 E 23 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a
You wish to test the following claim (H.) at a significance level of a = 0.005. You believe both populations are normally distributed, but you do not know the standard deviations for either. And you have no reason to believe the variances of the two populations are equal You obtain a sample - 19.1 from the first population. 7.1 from of size ni 23 with a mean of a1 You obtain a sample of size n2 the second population. 86.6 and a standard deviation of s1 20 with a mean of r2 96.5 and a standard deviation of s2 = a. What is the test statistic for this sample? test statistic = Round to 3 decimal places. b. What is the p-value for this sample? For this calculation, use p-value Use Technology Round to 4 decimal places.
Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills for a treatment group of 23 people who drank ethanol and another group of 23 people given a placebo. The errors for the treatment group have a standard deviation of 2.40, and the errors for the placebo group have a standard deviation of 0.78. Assume that the two populations are normally distributed. Use a 0.05 significance level to test the claim that both groups have the same amount of variation among the errors. Let sample 1 be the sample with the larger sample variance, and let sample 2 be the sample with the smaller sample variance. What are the null and alternative hypotheses? OA. H₂:0² = 0²/2 OB. H₂:0² = 0²/2 H₁: 0²/12 #02/22 H₁:0² > 0²/2 ỌC Họỏi cơ OD. Ho: 0²/02/2 H₁:0² <0² H₁:0² = 0²/2 Identify the test statistic. (Round to two decimal places as needed.) Use technology to identify the P-value. (Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject H, because the P-value is greater than the significance level. O B. Reject Hn because the P-value is less than the significance level. O C. Fail to reject H, because the P-value is less than the significance level. O D. Reject H, because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. O B. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 students. O C. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean O D. At the 5% level of significance, there is not sufficient evidence to support the claim…
The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Frequencies of Sport Preference and Age Swimming 85 ATTI Tennis Basketball 18-25 98 88 26-30 104 100 46 31-40 62 63 40 54 30 Over 40 63 What can be concluded at the = 0.10 significance level? a. What is the correct statistical test to use? O Homogeneity O Paired t-test O Goodness-of-Fit O Independence b. What are the null and alternative hypotheses? Ho: O The age distribution is the same for each sport. The age distribution is not the same for each sport. O Age and sport preference are dependent. O Age and sport preference are independent. H1: O Age and sport preference are independent. O The age distribution is not the same for each sport. O Age and sport preference are dependent. O The age distribution is the same for each sport.

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