# Questions tagged [p-value]

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28 questions
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### Using t table to determine P-value [on hold]

I am doing an excercise with following problem: Use the t tables to estimate the P-value for t>=2.09 with 4 degrees of freedom. The answer is: 0.0524 ...
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### Need help understanding hypothesis testing

I have the following question: Let $X_{i}$ be Gaussian random variables with $\mu$ = 10 and $\sigma^{2}$ = 1. We decide to use the test statistic $\hat{\mu}$ = $\frac{1}{20}\sum_{i=1}^{20}X_{i}$...
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### 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 ...
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### 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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### 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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### What if correlation coefficient is much less whereas the p-values is much lesser than the our significance level?

I have a data between rating of the restaurant and the approximate price of food in the restaurant. After doing Hypothesis testing. The pearson correlation coefficient was found to be 0.33 whereas p ...
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### 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 ...
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### Should a variable with a high p-value exclude from the equation

I have just made a regression with 2 explanatory variables and one dependent variable. One of the variables have a p-value of 0.0303 which I consider significant and the other have a p-value of 0.708. ...
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### Removing variable with big p-value?

I have made a regression with 2 explanatory variables. The summary of that regression shows that one of my variable has a big p-value (0.705). Should I include that variable when writing the the y hat ...
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### Type-I vs. type-II error in statistical hypotheses testing

Let us consider standard statistical hypotheses testing: $$\alpha=P\{\text{type}-I \text{ error}\}=P\{\text{Rejecting } H_0 \text{ when }H_0\text{ is true}\}$$ and \beta=P\{\text{type}-II \...
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### 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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### Test hypothesis, probability of rejecting $H_0$

A mechanic wants to test how difficult it is to unscrew the bolts that hold the tires in place in a car. Assume that out of $8$ cars tested, the average force was $259.634$ newtons. Also assume that ...
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### P-value vs. Bayesian statistics

Are there any theoretical considerations between $p$-value and the Bayesian statistics? I mean say, any theorem regarding both of these two concepts at a time.
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### $p$-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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### Basic but illuminating examples of statistical modeling

I'd like to know the best examples that are simple and easy to understand, but which also capture the essence and the spirit of statistical modeling. What are some simple but also fundamental and ...
### 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 ...