If a test statistic has an associated p-value of 0.0156, then we can reject H0 if...

Question

Question

If a test statistic has an associated p-value of 0.0156, then we can reject H₀ if our maximum accepted type 1 error rate is set at α=0.01.

True or False?

math Statistics-And-Probability

Answer 1

Answer #1

Solution:

False.

The p-value is p = 0.0156 > 0.01, it is concluded that the null hypothesis is fail to reject.

Answer 2

Similar Homework Help Questions

A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a...

A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α = 0.01. The value of the test statistic is z = 1.23. a. Is H0 rejected? b. If the true value of μ is 50, is the result a Type I error, a Type II error, or a correct decision? A test of H0: μ = 50 versus H1: μ ≠ 50 is performed using a significance level of α...
Which of the following statements is true? I. If the p-value is 0.01, we reject H0...

Which of the following statements is true? I. If the p-value is 0.01, we reject H0 for any alpha level less than 0.01. II. If we use an alpha level of 0.05, then a p-value of 0.005 is not statistically significant. III. If we use an alpha level of 0.05, then we fail to reject the null hypothesis if the p-value is 0.1.
Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p <...

Suppose you want to test the following hypotheses: H0: p ≥ 0.4 vs. H1: p < 0.4. A random sample of 1000 observations was taken from the population. Answer the following questions and show your Excel calculation for each question clearly: (a) Let p ̂ be the sample proportion. What is the standard error of sample proportion (i.e., σ_p ̂ ) if H0 is true? (b) If the sample proportion obtained were 0.38 (i.e., p ̂=0.38), what is its p-value?...

The test statistic of z equals= negative −2.92 is obtained when testing the claim that p=1/6....

The test statistic of z equals= negative −2.92 is obtained when testing the claim that p=1/6. a. Using a significance level of α=0.01, find the critical value (s) b. Should we reject H0 of should we fail to reject H0?
Which of the following statements is true? I. If the p-value is 0.01, we reject H0...

Which of the following statements is true? I. If the p-value is 0.01, we reject H0 for any alpha level less than 0.01. II. If we use an alpha level of 0.05, then a p-value of 0.005 is not statistically significant. III. If we use an alpha level of 0.05, then we fail to reject the null hypothesis if the p-value is 0.1. Group of answer choices I only II only III only I and III II and III
Select the correct definition of the p-value of a test from the answer choices below: The...

Select the correct definition of the p-value of a test from the answer choices below: The probability that the null hypothesis is true The probability that, assuming the null hypothesis is true, we obtained a test statistic as or more extreme than what we calculated The probability that, assuming the alternative hypothesis is true, we obtained a test statistic as or more extreme than what we calculated The probability that the alternative hypothesis is false, given that the null hypothesis...

QUESTION 21 A p value is the probability of obtaining the value of the test statistic...

QUESTION 21 A p value is the probability of obtaining the value of the test statistic or more extreme, if the null hypothesis is true. a. True b. False QUESTION 18 Type I error occurs when a. you reject a false null hypothesis b. you reject a true null hypothesis c. you fail to reject a false null hypothesis d. you fail to reject a true null hypothesis QUESTION 19 Type II error occurs when a. you reject a false...
In order to calculate the p-value of a test statistic we need to know the level...

In order to calculate the p-value of a test statistic we need to know the level of alpha for our test. true false
Can someone answer and explain how to do these problems? 1 Type II Error: For the roulette table ...

Can someone answer and explain how to do these problems? 1 Type II Error: For the roulette table in (Q6), determine which hypothesis testing scenario has the larger Type II error probability for a two-sided hypothesis for HO: p=18/19: 1. a) N=10,000, p=0.96 , α=0.05 OR b) N=10,000, p=0.97 , α=0.05. 2. a) N=10,000, p=0.96, α=0.05 OR b) N=50,000, p=0.96, α=0.05. 3. a) N=10,000, p=0.97, α=0.05 OR b) N=10,000, p=0.97, α=0.01. Describe how the Type II error is influenced by...

You read that a statistical test at the α=0.01 level has probability 0.14 of making a...

You read that a statistical test at the α=0.01 level has probability 0.14 of making a Type II error when a specific alternative is true. What is the power of the test against this alternative? Suppose we tested the null hypothesis that the weight of a McDonald's quarter pounder is 0.25 pounds (H0 : µ = 0.25) against the alternative that the weight is below 0.25 pounds (Ha : µ < 0.25). After collecting a sample our observed z statistic...