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### When calculating sum of observation in Bayes Theorem, why do we remove one outcome?

relatively quick question regarding this course question: Hearing about your brilliant success in working with M&Ms, Mars Inc. transfers you over to the Skittles department. They recently have ...
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### Fairness of a Coin. Number of heads vs probability of permutation

If I look at a sequence of 100 coin tosses and I get 90 heads the probability of the coin being fair vs not fair is a lot lower as answered in a lot of questions already. But when I go from looking at ...
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### Statistical Significance

Our teacher told us If a test is rejected at 1% level of significance , then it will be rejected at 5% , 10% level of significance . I don't understand how does the rejection at 1% level of ...
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### On interpreting the statistical significance of R squared

I have performed a linear regression analysis to two series of data, each of which has 50 values. I did the analysis in SPSS and as a result got a table which says ...
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### How to show whether a hypothesis is true or not

I have the following hypothesis: "The higher the number of translation-stable words between a pair of countries, the higher the correlation between the happiness scores of their words". note: ...
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### Conditionality in p-value definition

Can we interpret p-value: $$P(T(x)>t\mid H_0:\mu=\mu_0)$$ in terms of usual conditional probability, which some random variable (T - test statistics) is conditioned on an event that some population ...
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### Maximum significance level

What is the maximum significance level that the null hypothesis is not rejected? How do I calculate it? Context: The weight of a plate is a normally distributed variable with μ=330 gr. and standard ...
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### Significance Levels(Region of rejection) vs P value comparison

Correct me if I am wrong, The region of rejection is we picked up a significant level then use that to calculate rejection region while P value is the conditional probability of alternative hypothesis ...
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### 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 ...
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### Modify test statistic in one point to obtain low p-value

Consider an NHST, for example a one sample t-test for $H_0:\mu\leq0$. The test statistic is $T(x) = \frac{\bar{x} \sqrt{n}}{s(x)}$, which has $t(n-1)$ distribution. Now I make an observation $x^*$, ...
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### Confusion about testing hypothesis for tossing 2 coins [duplicate]

Suppose two coins $C_1$ and $C_2$ are tossed and suppose further that $C_1$ was tossed $40$ times and $C_2$ only $20$ times. The outcome for $C_1$ is $8$ times heads and $32$ times tails. For $C_2$ we ...
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### In how many cases my H0 is passed?

For a weekly jury duty there are 50 places for men, and women. The probability of choosing a man, or a woman is equal to 0.5. ...
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### 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 ...
Suppose it is required to test the fitting of binomial distribution to the following data ( at level $\alpha =0.05$) : the parameter p is estimated as p = 0.494 , and the expected frequencies (given ...
### $Pr<W$ and $Pr>D$ - interpretation of statistic tests results
I have found the following test results: Source: Link Could you tell me what does it mean and how to interpret the following quantities: $Pr<W$, $Pr>D$, $Pr>W-Sq$ and $Pr>A-Sq$? For ...