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Questions tagged [p-value]

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2
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1answer
38 views

Is a study with a small sample size less meaningful than one with a big sample size?

To my understanding, the p value of a study determines how likely a result this extreme or more extreme would happen if there were no effect (e.g. due to coincidence, measuring inaccuracies etc.). ...
0
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1answer
27 views

Regression: width of confidence interval vs t-statistic

My question is about confidence intervals of the slopes estimated in a multivariate regression. I would like to clear up something that is probably a fault somewhere in my understanding. As I ...
0
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1answer
21 views

How will p-values behave when fitting normal/Poisson to binomial?

I know p-values behave uniformly. Now as p(np) is fixed and n goes to infinity, binomial converges to normal(Poisson). Now suppose I take random binomial samplings and fir normal(Poisson) to it, for ...
0
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1answer
33 views

p-value of the following test

I have the following problem: I have $X_1 ... X_n$ ~ Bernoulli(p) independent. I also have the following test hypothesis: $H_0: p = p_0$ and $H_1: p > p_0$. I define my test as follows: $T:$ I ...
0
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1answer
22 views

Making conclusions in a z test for a proportion

A poll from a previous year showed that $10\%$ of smartphone owners relied on their data plan as their primary form of internet access. Researchers were curious if that had changed, so they tested $...
0
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1answer
53 views

p-value of a test statistic on a two-sided test

For coursework, I am doing a two-sided test ($H_0 \beta = 0, H_a \beta \neq 0$). The test itself is a generalized likelihood ratio. The test statistic is the ratio LR: $$LR=\frac{L(\beta=0)}{argmax_{\...
0
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1answer
43 views

$p$-value,the significance level

Here in the definition 5.3.11 on the page 249 they write "The $p$-value associated with a test is the smallest significance level $α$ for which the null hypothesis is rejected." My question is what ...
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0answers
23 views

p-value of specific test

I am trying to solve the following exercise: A control authority needs to test that the probability of getting $0$ at roulette is $1/37$ and bigger. After 1000 trials, they get the number $0$ $40$ ...
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0answers
9 views

Devising a hypothesis test for machine failure rate

I'm trying to devise a hypothesis test for failure rate data of machines. The gist is that there are some machines in a factory that run all the time. They fail from time to time and are promptly ...
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0answers
15 views

minimum significant regression coefficient value based on sample size

I have a dataset with 35 observations for five variables, namely ET, sw, ws, vpd,Ta. I am doing a simple linear regression between ET and each of the other four variables (i.e ET with sw; ET with ws; ...
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0answers
34 views

P_Value and Hypothesis testing

Please help me to understand the p-value concept in prospect of Multiple Regression (Backward Elimination). My understanding here is that The null hypothesis is we will assume that the dependent ...
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0answers
25 views

p-value, hypotheses testing, type II error

In hypotheses testing, the $p$-value is the smallest significance level $\alpha$ at which the test rejects $H_0$ if $H_0$ is in fact true. Is there a similar concept as is $p$-value also for the type-...
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0answers
25 views

Symmetry of Pr[accept $H_0$∣$H_0$ is true] and Pr[reject $H_0$∣$H_0$ is true]

I still do not follow why here they say and where does the asymmetry of Pr[reject $H_0$∣$H_0$ is true] and Pr[accept $H_0$∣$H_0$ is true] come from. And they continue:" The $p$-value is a ...