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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Past studies have indicated that the percentage of smokers is estimated to be about 35%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0: _______ H1: _______ b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed
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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.
B. Identify the test statistic test C. Identify the P-value for this hypothesis test D. If P-value is reject H0 or fail to reject H0?
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If a significance test gives p-value 0.005... A.. the effect of interest is practically significant B...We do have good evidence against the null hypothesis C...we do not have good evidence against the null hypothesis D...the null hypothesis is very likely to be true E.. The margin of error is 0.005
If the null hypothesis is false, you cannot make which kind of error? Type I Type II
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. -
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.)
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1.) Identify the null and alternative hypotheses for this test. 2.) Identify the test statistic for this hypothesis test. (Round to two decimal places as needed.) 3.) Identify the P-value for this hypothesis test. (Round to three decimal places as needed.) 4.) Identify the conclusion for this hypothesis test.