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Questions tagged [p-value]

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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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Find the p value following the exponential distribution $\mu=3$

I want to find the $p$-value (manually) of the following Hypothesis testing. $$H_0:\mu\leq 3 \quad \text{vs} \quad H_1:\mu >3$$ The main thing I know is that $$P(\mathrm{Re}\,j \mid \mu \leq 3)=...
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Is P value Type I error in hypothesis testing?

I'm confused about the interpretation of P value in hypothesis testing. I know that we set significance level as 0.05 which is the threshold we set for this test so that it won't suffer from Type I ...
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Interpretation of the p-value and the test-statistic W of the Shapiro.test in R

Shapiro-Wilk normality test data: Part1 W = 0.14846, p-value = 6.478e-16 Shapiro-Wilk normality test data: Part2 W = 0.47978, p-value < 2.2e-16 Shapiro-Wilk normality test data: Part3 ...
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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.). ...
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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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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 ...
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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 $...
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1answer
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How can I visually estimate, or eyeball, the p-value of a histogram?

The question is: what is the approximate P-value for the investigation of whether mother’s smoking during pregnancy has an effect on the length of gestation. The p-value of this histogram is ...
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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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1answer
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Manual calculation of p-value from chi square and df

I am trying to create an algorithm that could calculate the p-value given the chi-square statistic and the degrees of freedom. I found the following formula here Can anyone please point me in the ...
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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_{\...
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2answers
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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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1answer
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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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3answers
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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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1answer
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Calculating p from a set of assumed probabilities and their actual outcomes

I am playing a computer game where many actions have a set chance to succeed communicated to the player as a percent chance of success. I have began to suspect the the displayed chances do not ...
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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 ...
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1answer
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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 ...