2i. Two types of possible errors always exist when testing hypotheses-a Type Ierror, in which the null hypothesis is rejected when it should not have beenrejected, and a Type II error in which the null hypothesis is not rejected when itput ofshould have been rejected.ii. A test statistic is a value determined from sample information collected totest the null hypothesis.ii. If we do not reject the null hypothesis based on sample evidence, we haveproven beyond doubt that the null hypothesis is true.Select one:a. (i), (ii), and (iii) are all correct statements.b. (i) and (iii) are correct statements but not (ii).c. (i), (ii), and (iii) are all false statements.d. (i) and (ii) are correct statements but not (iii).e. (i) is a correct statement but not (ii) or (iii).

Hypothesis testing is an act in statistics whereby an analyst tests an assumption regarding a…

i. Two types of possible errors always exist when testing hypotheses-a Type I error, in which the null hypothesis is rejected when it should not have been rejected, and a Type Il error in which the null hypothesis is not rejected when it should have been rejected. ii. A test statistic is a value determined from sample information collected to test the null hypothesis. iii. If we do not reject the null hypothesis based on sample evidence, we have proven beyond doubt that the null hypothesis is true.

i. Two types of possible errors always exist when testing hypotheses-a Type I error, in which the null hypothesis is rejected when it should not have been rejected, and a Type Il error in which the null hypothesis is not rejected when it should have been rejected. ii. A test statistic is a value determined from sample information collected to test the null hypothesis. iii. If we do not reject the null hypothesis based on sample evidence, we have proven beyond doubt that the null hypothesis is true.

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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When conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.
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Consider the following hypothesis test. Ho: H₁ - H₂ SO Ha: M₁ - H₂ > O The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n₁ = 40 7₂ = 50 X₁ = 25.4 %1 = 5.7 (a) What is the value of the test statistic? (Round your answer to two decimal places.) = 22.8 x₂ = %₂ = 6 (b) What is the p-value? (Round your answer to four decimal places.) (c) with a = 0.05, what is your hypothesis testing conclusion? Reject Ho. There is insufficient evidence to conclude that μ₁ - H₂ > 0. Reject Ho. There is sufficient evidence to conclude that μ₁ - μ₂ > 0. Do not reject Ho. There is insufficient evidence to conclude that μ₁ - μ₂ > 0. Do not Reject Ho. There is sufficient evidence to conclude that μ₁ −μ₂ > 0. -
When asked what it means for the result of a hypothesis test to be practically significant (or practically important), Tatum says this means that the P-value is small and the null hypothesis has been rejected. what is wrong about this?
Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
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.)
Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 1800 people with 1291 of them having the same attribute. Compare the results from a hypothesis test p1=p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1-p2. What are the null and alternative hypotheses for the hypothesis test?
If we fail to reject the null hypothesis when the alternative hypothesis is true, we have made a type Il error. type a error. correct decision. type B error. type I error.
(b) (c) (d) What is the value of the sample test statistic? Find (or estimate) the P-value. Based on your answers in parts (a) to (c), will you reject or fail to Teject the null hypothesis? Are the data statistically significant at level a? 6. Professor Jennings claims that only 35% of the students at Flora College work while attending school, Dean Benata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 76 students shows that 36 have jobs. Do the data indicate that more than 35% of the students bave jobs? Use a 5% level of significance. What are we testing in this problem? i) single proportion ii) single mean a) What is the level of significance? State the null and alternate hypotheses. what sampling distribution will you use? What assumptions are you making? b) What is the value of the sample test statistic? c) Find (or estimate) the P-value. d) Based on your answers in parts (a) to (c), will you reject or fail to…
When asked what it means for the result of a hypothesis test to be practically significant (or practically important), Tatum says this means that the P-value is small and the null hypothesis has been rejected. Why is Tatum wrong?
When asked what it means for the result of a hypothesis test to be practically significant (or practically important), Tatum says this means that the P-value is small and the null hypothesis has been rejected. what is wrong about this? i can't read this handwriting