Title: Hypothesis Testing: Interpreting the Failure to Reject the Null Hypothesis---**Scenario:**Suppose you want to test the claim that \( \mu_1 < \mu_2 \). Two samples are randomly selected from each population. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?**Options:**- **A.** There is not sufficient evidence to reject the claim \( \mu_1 < \mu_2 \).- **B.** There is not sufficient evidence to support the claim \( \mu_1 < \mu_2 \).- **C.** There is sufficient evidence to reject the claim \( \mu_1 < \mu_2 \).- **D.** There is sufficient evidence to support the claim \( \mu_1 < \mu_2 \).---**Explanation:**When a hypothesis test fails to reject the null hypothesis, it suggests that there is not enough statistical evidence to support the alternative hypothesis. This situation does not prove the null hypothesis; it merely indicates insufficient evidence against it. **Note:** There are no graphs or diagrams in this scenario to explain.

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Answered: uppose you want to test the claim that…

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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Suppose we want to test the null hypothesis H0 : p1 − p2 = 0 against the alternative hypothesis Ha : p1 − p2 < 0 at the 5% level of significance. Suppose also that x1 = 70, n1 = 100, x2 = 90, n2 = 120. What is the observed test statistic for this test?
please answer g, h, i
Research Question: Is there a difference between the average height of male and female basketball players in the club? 28 male and 25 female basketball players from the club were randomly selected. Use the following image to answer the questions below. Carry out an appropriate hypothesis test to answer the above Research Question. Q1) The null and alternative hypotheses are : Choose one from below -H0: μ = 0, H1: μ ≠ 0 -H0: μ = 170, H1: μ ≠ 170 -H0: μm- μf = 167.489, H1: μm- μf ≠ 167.489 -H0: μm- μf = 0, H1: μm- μf ≠ 0 H0: μm- μf = 170.27, H1: μm- μf ≠ 170.27 Q2) What is the assumption you need to make ? Choose one from below -The shape of the histogram indicates that the scores may be from a normal distribution and/or the sample size is reasonably large so the sample mean will be from a normal population -None of these -Since nπnπ and n(1−π)n(1−π) are both ≥5, the Central Limit Theorem applies and we can assume that p arises from a normal distribution -The boxplots…
Suppose in a sample of 400 apples 79 are damaged You want to test the claim the proportion that are damaged is less than 20%. Hint There is strong evidence against H0 if the p-value is less than 0.05, alternatively there is strong evidence against H0 if the test stat is less than -1.645. Which option is the correct hypothesis test. Select one: a. H0: p= 0.8, H1 p> 0.8, standard error =10, test stat =0.5, p-value = 0.3084, reject H0 because there is strong evidence the proprotion is above 80% b. H0: p= 0.2, H1 p < 0.2, standard error =0.02 test stat =-0.125, p-value = 0.4503, do not reject H0 because there is not strong evidence the proprotion is less than 20% c. H0: p> 0.8 H1 p =0.8, test stat =-20 , p-value = 0.3084, do not reject H0 because there is strong evidence the proprotion is above 80% d. H0: =0.2, H1: < 0.2 , test stat =2.3, p-value = 0.01, do not reject H0 because there is not strong evidence the proprotion is above 80%
The critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample data is z =-1.90, what is the correct statistical decision? Reject H0 Fail to reject H1 Reject H1 Fail to reject H0
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The average weight of a cuckoo bird is less than 1.6 pounds. what are the null and alternative hypothesis
If a hypothesis test rejects the null hypothesis test at a = 0.05 will it also always reject the null at a = 0.01?
Angel believes a coin is “fair,” the other believes the coin is biased toward heads. The coin is tossed 20 times, yielding 15 heads. Indicate whether or not the first researcher’s position is supported by the results. Use α = .05. Express statistically the null and alternative hypotheses.
please answer a, b, c
There is some research to indicate that different dog breeds differ in emotionality. To consider these differences, a researcher administers a standard test of emotionality to 3 breeds of dogs (German Shepherd, Cocker Spaniel, and Chihuahua), with 4 dogs from each breed being tested. Higher scores mean higher emotionality. The results for the emotionality test scores appear below. Using the 7 steps of hypothesis testing, test the idea that there are differences in emotionality based on dog breed using α = .05 Emotionality Scores for Dogs German Shepherd Cocker Spaniel Chihuahua 6 0 10 1 4 12 7 0 9 2 0 8 T = 16 T = 4 T = 39 Gt = 59 N = 12 ∑x2 = 495 4. Decision Rule (Be sure to include your critical value) 5. Do your calculations 6. Make your decision 7. State your results in a sentence. Report your results in APA style including a measure of effect size. Be sure to include descriptive statistics (M). 8. Given your decision in #7, would…
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