When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply.A. The chance that the null hypothesis is true changes from 0.10 to 0.05.OB. The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis).c. It becomes harder to prove that the null hypothesis is true.OD. The chance of committing a Type I error changes from 0.10 to 0.05.ⒸE. The chance of committing a Type II error changes from 0.10 to 0.05.OF. It becomes easier to prove that the null hypothesis is true.ⒸG. The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis).

When one changes the significance level of a hypothesis test from 0.10 to 0.05.

Answered: When one changes the significance level…

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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A hypothesis test is performed on the following where the claim is the null hypothesis Ho:p = 0.74 H :p+0.74 a.) What population parameter is being tested? a. proportion b. standard deviation C. mean d. variance b.) What type of hypothesis test is being performed? a. left-tailed b. right-tailed c. two-tailed
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…
Which of the following correctly describes the meaning of the p-value? a. The p-value is the probability the alternative hypothesis is true. b. The p-value is the probability the null hypothesis is true. c. The p-value is the probability we would get results like our sample (or something more extreme), given the null hypothesis is true. d. The p-value is the probability the null hypothesis is true, given our sample. e. The p-value is the probability the alternative hypothesis is true, given our sample.
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Which of the following statements below is incorrect about Type II error? The larger the effect size, the smaller the power of the test will be. For a given probability of type I error, the probability of type II error can be reduced by increasing the sample size. The power of a test is equal to 1-3, where represents the probability that a hypothesis test does not reject a false null hypothesis. The effect size measures the distance between the true population proportion and the value assumed for it in the null hypothesis.
The term "p-value," which comes into play in the analysis and conclusions steps of the scientific method, can be defined as: O The probability that the alternative hypothesis is true. O The probability that the null hypothesis is true. O The probability of obtaining your data, or something even more extreme, if the null hypothesis is true. The probability that you should reject your alternative hypothesis.
Suppose there is a claim that a certain population has a mean, u, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H, as follows. Ho: H=7 H: u#7 Suppose you also know the following information. The value of the test statistic based on the sample is - 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3 Step 3: Shade the area represented by the p- value. 0.2 Step 4: Enter the p- value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the…
It has been reported in the past that the probability that an individual will develop schizophrenia over their lifetime is 0.004. A researcher believes that this proportion has increases since then. She found out that in a random sample of 2500 individuals, 16 developed schizophrenia. Is there evidence to support the claim that the true proportion of people who will develop schizophrenia is greater 0.004? Use hypothesis testing at a = 0.10 level of significance to answer this question. a. State the null and alternative hypotheses. b. What is the probability model (underlying distribution of the sample proportion p)? c. Compute p. d. Compute the test statistic. e. Find the P-value. f. Make the decision whether to reject Ho or not. g. State a conclusion answering the question above. 1
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Last year the mean cost u for a one-bedroom rental in a certain city was $1,200 per month. Eli is looking for a one-bedroom apartment and is investigating whether the mean cost is less now than what it was last year. A random sample of apartments had a sample mean c of $1,180 per month. Assuming all conditions for inference are met, Eli will conduct a hypothesis test as part of his investigation. Which of the following is the correct set of hypotheses? Subi Ho : H = 1,200 A Ha : µ > 1,200 Ho : H = 1,200 B H : µ < 1,200 Ho : T = 1,200 Ha : I < 1,200 Ho : = 1,180 H: 1,180 Ho : = 1,180 H: < 1,180
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