Here are some statements relating to a P-ValueA. A P-Value is the probability of observing the test statistic, or something more extreme,if the null hypothesis is trueB. A P-Value is the probability the null hypothesis is trueC. If the P-Value is 0.03, we can reject the null hypothesis and accept the alternativehypothesis at a 5% level of significanceD. When the P-Value is large (greater than 0.1) we can state the null hypothesis is trueB and C are correct statementsO A, C, and D are correct statementsC is the only correct statementO A and C are correct statementsO All statements are correct

Pvalue is used for hypothesis testing against observed data We know that *Pvalue is less than…

Answered: Here are some statements relating to a…

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 p-value is calculated to be 0.005%. Check all of the statements that are CORRECT interpretations of this result. Group of answer choices The alternative hypothesis must be true. The null hypothesis has only 0.005% chance of being true. If the null hypothesis is true, something very surprising has occurred.
If the p-value is very large (say close to 1), then it is likely that we will reject the null hypothesis. True False
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.
Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
Have you heard that American quarters are biased towards heads? Suppose we want to test the claim that the probability of an American quarter coming up heads is more than 50%. Which of the following are the appropriate null and alternative hypotheses? O Ho:p>0.5; H1: ps 0.5 O Ho:ps0.5; H1:p>0.5 O Ho:p> 0.5; H1:p=0.5 O Ho:p=0.5; H1:p>0.5
Evaluate the significance of the p-value. You can think of the p-value as the probability that the null hypothesis is true. A value greater than 0.05 indicates that in more than 1 in 20 (or more than 5%) repetitions of an experiment of the same size, the observed deviation from predicted valuescould have been obtained by chance, even if the null hypothesis is actually true; the data are therefore not significant for rejecting the null hypothesis. Statisticians have arbitrarily selected the 0.05 p-value as the boundarybetween rejecting or not rejecting the null hypothesis. A p-value of less than 0.05 means that you can consider the deviation to be significant, and you can reject the null hypothesis.
Please define the two definitions: 1. The level of significance needed to reject the null hypothesis. It is the maximum allowable probability of false negative, where the null hypothesis is rejected when it is in fact true. 2. This value is set by the investigator of the hypotheses. For example, if you want to be 95% confident in your statistical conclusions, you have a level of significance of 5%. A speculated value for the population average used in the null hypothesis. In a one-sample t-test this is the benchmark value that the sample mean is compared against.
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
A fellow student tells you the P-value is the probability that the null hypothesis is true, so when the P-value is small, you reject the null hypothesis. Explain why the student is not correct. What would you tell the student about the P-value to help them out? What exactly is the relationship between the P-value and the hypotheses?
A test of the null hypothesis Ho: p = .25 gives a test statistic z = 1.6. What is the p-value if the alternative is Ha: p > .25? What is the p-value if the alternative is Ha: p < .25? What is the p-value if the alternative is Ha: p .25?
Or the given scenario determine the type of error that was made if any.( Hint:Begin by determining the null and alternative hypothesis.) Economists considered a $3.110 as the mean price for a gallon of unleaded gasoline in the United States in a certain year. One consumer claims that the main price for a gallon of unleaded gasoline in the United States in a certain year is different from $3.110. The consumer conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality the main price for a gallon of unleaded gasoline in the United States in a certain year is $3.21. Was there an error made?if so what type?

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