Suppose there is a claim that a certain population has a mean, u, that is different than 6. You want to test this claim. To do so, you collect a large randomsample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H. and the alternativehypothesis H₁ as follows.H₁: μ = 6H₁: μ = 6Suppose you also know the following information.The critical values are -1.960 and 1.960 (rounded to 3 decimal places).The value of the test statistic is -2.615 (rounded to 3 decimal places).(a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test.Standard Normal DistributionStep 1: Select one-tailed or two-tailed.One-tailedTwo-tailedStep 2: Enter the critical value(s).(Round to 3 decimal places.)Step 3: Enter the test statistic.(Round to 3 decimal places.)(b) Based on your answer to part (a), choose the correct statement.The value of the test statistic lies in the rejection region.The value of the test statistic doesn't lie in the rejection region.X04Ś0.3+0.20.1+(c) Based on your answer to part (b), which statement below is true at the 0.05 level of significance?The null hypothesis should be rejected.The null hypothesis should not be rejected.XX

given data, claim :μ≠6α=0.05hypothesis:H0:μ=6H1:μ≠6critical value:±1.960test statistics:-2.615

Answered: Suppose there is a claim that a certain…

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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In a hypothesis test, the null hypothesis states that the population proportion of individuals who support a certain political candidate is equal to 0.6. A sample of size 400 is taken and 175 individuals support the candidate. What is the Z-score for this hypothesis test?
You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Trump is 0.42. However, you think it is less than 0.42. The hypotheses you want to test are Null Hypothesis: p ≥ 0.42, Alternative Hypothesis: p < 0.42. You take a random sample around town and calculate a p-value for your hypothesis test of 0.7963. What is the appropriate conclusion? Conclude at the 5% level of significance. Question 4 options: 1) We did not find enough evidence to say the proportion of people who support President Trump is larger than 0.42. 2) We did not find enough evidence to say a significant difference exists between the proportion of people who support President Trump and 0.42 3) The proportion of people who support President Trump is significantly less than 0.42. 4) We did not find enough evidence to say the proportion of people who support…
Suppose we want to test the null hypothesis H0 : p = 0.34 against the alternative hypothesis H1 : p > 0.34. Suppose also that we observed 120 successes in a random sample of 300 subjects and the level of significance is 0.05. What is the p-value for this test? Select one: a. 0.4 b. 0.0143 c. 0.9857 d. 0.05
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Suppose you have a friend that thinks at least a quarter (25% or 0.25) of all US adults believe in ghosts. Thus, the null hypothesis would be, HO: p = 0.25 Suppose a telephone survey of 1000 randomly selected US adults found that 0.31 or 31% of them say they believe in ghosts. If the null hypothesis is true, the uncertainty or Standard Error in this sample proportion = 0.014 Based on this information, what is the value for the Z-statistic in this hypothesis test? (Round your answer to two decimal places.) Answer:
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Please see below. I need help with this asap please and thank you. Note that I'm only given one attempt at this. I have worked this out already, but I'm not 100% certain my answers are right.
Use technology to find the P-value for the hypothesis test described below. The claim is that for the population of adult males, the mean platelet count is μ>210. The sample size is n=48 and the test statistic is t=1.798.
Suppose you want to test the claim that a population mean equals 40. (a) State the null hypothesis. H0: μ > 40 H0: μ < 40 H0: μ = 40 H0: μ ≠ 40 H0: μ ≥ 40 (b) State the alternate hypothesis if you have no information regarding how the population mean might differ from 40. H1: μ > 40 H1: μ < 40 H1: μ = 40 H1: μ ≠ 40 H1: μ ≥ 40 (c) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may exceed 40. H1: μ > 40 H1: μ < 40 H1: μ = 40 H1: μ ≠ 40 H1: μ ≥ 40
3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…

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