Linked Questions

2
votes
1answer
91 views

Most powerful test for simple hypothesis for $N(0,\sigma^2)$

Let $X_1,X_2,...,X_n$ denote a random sample from density, $N(0,\sigma^2)$, Find the most powerful test for testing the simple hypothesis $H_0:\sigma= \sigma_0^2$ vs $H_1:\sigma=\sigma_1^2$ where $\...
1
vote
2answers
58 views

How do I interpret the results of this SPSS paired samples t test?

Paired samples statistics (table 1): pretest score mean= 41.6667, post test score mean= 93.3333, N=3 Paired samples correlations (table 2) Correlations= -.277 , Sig.=.821 Paired samples Test (Table ...
0
votes
0answers
9 views

How to interpret a p value in a Mann Whitney U [duplicate]

Question: Is there a difference between males and females’ ratings of their supervisors’ family supportive behaviors? If we observe the ranks, there is a difference between the mean ranks reported by ...
0
votes
0answers
20 views

p-value and its relationship to alpha? [duplicate]

Could someone explain to me how the alpha and the p-values are related? I know what the two terms are individually but want to know their relation. For example, for a given significance level e.g. ...
1
vote
2answers
23 views

What exactly is critical value in statistics? I confuse it with p-value and always get it wrong [duplicate]

I learnt that a p-value lower than the alpha value of 0.05 leads us to reject the null hypothesis and vice versa. It seems to be the opposite for critical values. What then, is this critical value - ...
9
votes
8answers
447 views

Should I trust the $p$-value in statistical tests?

I got into a debate with my supervisor over a recent paper. The test of correlation in a sample of 77 participants yielded a p-value smaller than 0.05. After removing a few participants (because later ...
1
vote
2answers
36 views

Logic of Hypothesis Testing [duplicate]

I know that there is something wrong in the following reasoning but I cannot explain it, can you say what is wrong with the following reasoning: Null Hypothesis: The coin is fair (that is, the ...
-2
votes
1answer
45 views

p-value and hypothesis testing [closed]

(The p value) Which one of the statements about the p value is correct? a) The p value is the predefined probability of making a mistake when the null hypothesis is false. b) The p value is the ...
0
votes
0answers
53 views

i got a very high p-value

i conducted a test to see weather smoking have a relationship with pregnancy period or not and the mean and sd were almost the same between smokers and non smokers moms however i got a high p-value i ...
0
votes
2answers
49 views

Understanding P-Value with respect to the Level of Significance [duplicate]

The definition of P-value is the probability of obtaining a sample that is more extreme than the ones observed in your data, assuming that the null hypothesis is true. That 's very well-explained in ...
0
votes
2answers
39 views

How to tell if my mean values are not significantly different? [duplicate]

I am looking to test if two mean and standard deviation values I obtain are not significantly different (comparing a sensor method to the gold standard). I am planning on using a two-tailed t-test in ...
0
votes
1answer
63 views

intuition/logic behind comparing p-value and significance level [duplicate]

I'm new on this forum and I hope that this is not already asked. My question is this: I know that the p-value is defined as $p=P($obtaining sample as or more contradictory to $H_0$ then the one ...
1
vote
0answers
17 views

Hypothesis test practice question

" Prof. J conducts a hypothesis test on whether the proportion of all students who bike to school (denoted as p) equals 30%. Specifically, Prof. J has H0: p=0.3 versus HA: p≠0.3. He obtains a P-value ...
1
vote
1answer
66 views

Interpretation of the D-statistic from 2-sample KS-tests

I've been using the two sample Kolmogorov-Smirnov test to compare observations from 2018 vs observations from 2019. I heard from my co-worker that you can interpret the D-statistic as the magnitude ...
1
vote
0answers
31 views

Why is the p-value defined as $P = F(T)$ or $P = 1 - F(T)$ when the null hypothesis is true?

I'm having trouble with the theoretical definition of the p-value. Let $T$ be a test statistic with CDF $F(T)$ and supose the null hypothesis is true. If we were to reject the null hypothesis for ...

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