### Question:The null hypothesis and alternative hypothesis, when combined, cover the entire sample space of the parameter of interest. True or false.### Answer Options:- ○ True- ○ False ### Understanding p-Values and Hypothesis Testing**Question:** _The larger the p-value, the less evidence for the alternative hypothesis._**Answer Options:**- False- P-value has no bearing on the null or alternative hypothesis.- True### Explanation:In hypothesis testing, the p-value measures the strength of evidence against the null hypothesis. A smaller p-value indicates stronger evidence in favor of the alternative hypothesis. Conversely, a larger p-value suggests weaker evidence against the null hypothesis, indirectly providing less support for the alternative hypothesis. ### Detailed Options Analysis:#### 1. FalseChoosing this option indicates that the statement is incorrect. Thus, the individual believes a larger p-value does not necessarily mean less evidence for the alternative hypothesis.#### 2. P-value has no bearing on the null or alternative hypothesis.Choosing this option suggests a misunderstanding of the p-value's role in hypothesis testing, as it implies the p-value does not affect the evidence against the null hypothesis or support for the alternative hypothesis.#### 3. TrueChoosing this option signifies agreement with the statement that a larger p-value indicates less evidence for the alternative hypothesis. This is the correct interpretation as per statistical conventions.Understanding the interplay between p-values, null hypotheses, and alternative hypotheses is crucial for conducting and interpreting statistical tests accurately.

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Answered: The null hypothesis and alternative…

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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sewer pipe to be more than 2400 pounds. Manufacturers that want to sell pipe to this city must of the confidence interval to be bigger or smaller? Why? demonstrate that the product meets the specification. This leads to the hypotheses below in terms of testing eheral, if you used this new value to create a confidence interval, Building specifications in a certain city require the average breaking strength of a residential pipe strength. (Hint: If the pipe strength is less than 2400 lbs, there is a chance it will break.) H: µ 2400 lbs. (claim of manufacturer) Truth of Ho Decision Do not reject Ho Reject Ho Họ is True Họ is false Correct decision Type II error Correct decision Type I error OkkOadioDons: Describe a Type I error in the context of this situation and state which is worse for the general public. Garrett Page 3 of 6 sbuo emoen boc ow a g o o oom to o bni on launmd
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Which of the following is a benefit of randomization when compared to repetition? A. Randomization takes more time B. Randomization allows for the variation due to machine setup to be captured C. Randomization requires resetting the equipment between tests D. Randomization is less complicated
A significance test is based on the following idea: Make an assumption about the population (The null hypothesis an assumption that the parameter equals a value). Then test to see if, under the assumption that the null hypothesis is true how likely is the sample that you got? If the sample you got is likely (within the range of normal defined by o or with probability greater then o) then it is possible that both the sample and the null hypothesis is true. If the sample is not likely then both it and the null hypothesis are probably not both true. Since the sample was collected (under the assumption it was collected well) then the null hypothesis is probably not true and we reject the null hypothesis. There are 3 types of significance tests. Left-sided test: Unusual defined by the test statistic being less than the critical value which cuts off or area in the left tail (note these will be negative values, less then means bigger negative) or a p-value less then a, where p-value is the…
A grocery store says their mangoes are fresher than most. A typical grocery store has roughly 10% go bad before they sell. A random sample of 135 mangoes from the store showed that 13 of the mangoes were rotten. Assume we have a significance level of 0.05. 1. null hypothesis____________ the alternative hypothesis is__________ 2. Our z-test statistic is 3. Our p-value is 4. evidence supporting the alternative?
An educational psychologist studies the effect of frequent testing on retention of class material. In one section of an introductory course, students are given quizzes each week. A second section of the same course receives only two tests during the semester. At the end of the semester, both sections receive the same final exam, and the scores are summarized below. Frequent Quizzes Two Exams n = 20 n = 20 M = 73 M = 68 A. If the first sample variance is s2 = 38 and the second sample has s2 = 42, do the data indicate that testing frequency has a significant effect on performance? Use a two- tailed test at the .05 level of significance. (Note: Because the two sample are the same size, the pooled variance is simply the average of the two sample variances.) tcritical…
Hypothesis Test is conjectured that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is 0.62. Of interest is to test this claim versus the alternative that the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62. A simple random sample of 270 people who went trick-or-treating is selected, and 162 of them also had a pumpkin carved into a jack-o'-lantern at their home (and the other 108 did not). If appropriate, use this information to test if the proportion of all people who went trick-or-treating who also had a pumpkin carved into a jack-o'-lantern at their home is less than 0.62 at the a = .10 level of significance. Which of the following provides both the correct null and the correct alternative hypothesis for this situation? НО: п = 0.62 Ha: π 0.62, Ha::n 0.58 Ha:: π < 0.62
☐True ☐False As a general rule, as the sample size increases the probability of rejecting the null hypothesis decreases.
To assess whether two data sets are derived from the same distribution—which need not be known, you can apply the test for _____________ that uses the chi-square distribution. The ________ hypothesis for this test states that the populations of the two data sets come from the same distribution. The test compares the observed values against the expected values if the two populations followed the same distribution. The test is right-tailed. Each observation or cell category must have an expected value of at least ______. Group of answer choices independence, null, four homogeneity, null, five goodness of fit, null, five variance test, alternate, four
Reject or Fail to Reject the null hypothesis. There is or is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
10
Smaller p-values indicate more evidence in support of: normally distributed population a large sample size the alternative hypothesis the null hypothesis

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The null hypothesis and alternative hypothesis, when combined, cover the entire sample space of the parameter of interest. True or false. True False