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It is the most powerful prayer. A pure heart, a clean mind, and a clear conscience is necessary for it. - Samuel Dominic Chukwuemeka

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Hypothesis Testing Calculators

logic
I greet you this day:

First: Read the notes.
Second: View the videos.
Third: Solve the questions/solved examples.
Fourth: Check your solutions with my thoroughly-explained solutions.
Fifth: Check your solutions with the calculators as applicable.
If you are doing multiple calculations, you may need to refresh your browser after each calculation, in order to clear all previous results.
These are what I have at the moment. I intend to add more functionalities as time demands.
Comments, ideas, areas of improvement, questions, and constructive criticisms are welcome. You may contact me.
If you are my student, please do not contact me here. Contact me via the school's system. Thank you.

Samuel Dominic Chukwuemeka (Samdom For Peace) B.Eng., A.A.T, M.Ed., M.S



One Sample Proportion: Left-Tailed

Given: CL
To Find: α, -zα/2

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Given: α
To Find: CL, -zα/2

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Given: p, p̂, α
Test hypothesis using Classical Approach and P-value Approach

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Given: p, n, x, α
Test hypothesis using Classical Approach and P-value Approach

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Given: p, n, x of a Binomial Distribution; α
Test hypothesis using P-value Approach

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One Sample Proportion: Right-Tailed

Given: CL
To Find: α, zα

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Given: α
To Find: CL, zα

in



Given: p, p̂, α
Test hypothesis using Classical Approach and P-value Approach

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Given: p, n, x, α
Test hypothesis using Classical Approach and P-value Approach

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Given: p, n, x of a Binomial Distribution; α
Test hypothesis using P-value Approach

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One Sample Proportion: Two-Tailed

Given: σ, x, n, p
Test hypothesis using the Classical Approach and the P-value Approach

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Given:p, p̂, α
Test hypothesis using Classical Approach and P-value Approach

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Given: CL, x, n, p
Test hypothesis using the Confidence Interval Method

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Given: p, n, x of a Binomial Distribution; α
Test hypothesis using P-value Approach

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Two Samples Proportion: Left-Tailed

Given: x1, n1, x2, n2, α
Test hypothesis using Classical Approach and P-value Approach

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Two Samples Proportion: Right-Tailed

Given: x1, n1, x2, n2, α
Test hypothesis using Classical Approach and P-value Approach

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Two Samples Proportion: Two-Tailed

Given: σ, x, n, p
Test hypothesis using Classical Approach and P-value Approach

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Two Samples Proportion: Confidence Interval Estimate

Given: x1, n1, x2, n2, α
To: Construct a confidence interval for p1 - p2

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One Sample Mean: Left-Tailed

Given: CL, df
To Find: α, critical t

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Given: α df
To Find: CL, critical t

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Given: CL, n
To Find: α, critical t

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Given: α, n
To Find: CL, critical t

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Given: Raw dataset $X$ (from Sample)
To calculate: sample size, mean, standard deviation

Please separate each value with a comma. Do not put a comma or a period at the end.



Given: sample size, test statistic
To Calculate: degrees of freedom, P-value



Given: μx̄, x̄, s, n, α
Test hypothesis using Classical Approach and P-value Approach

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Given: μx̄, x̄, σ, n, α
Test hypothesis using Classical Approach and P-value Approach

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One Sample Mean: Right-Tailed

Given: CL, df
To Find: α, critical t

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Given: α df
To Find: CL, critical t

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Given: CL, n
To Find: α, critical t

in



Given: α, n
To Find: CL, critical t

in



Given: Raw dataset $X$ (from Sample)
To calculate: sample size, mean, standard deviation

Please separate each value with a comma. Do not put a comma or a period at the end.



Given: sample size, test statistic
To Calculate: degrees of freedom, P-value



Given: μx̄, x̄, s, n, α
Test hypothesis using Classical Approach and P-value Approach

in



Given: μx̄, x̄, σ, n, α
Test hypothesis using Classical Approach and P-value Approach

in

One Sample Mean: Two-Tailed

Given: CL, df
To Find: α, critical t

in



Given: α df
To Find: CL, critical t

in



Given: CL, n
To Find: α, critical t

in



Given: α, n
To Find: CL, critical t

in



Given: Raw dataset $X$ (from Sample)
To calculate: sample size, mean, standard deviation

Please separate each value with a comma. Do not put a comma or a period at the end.



Given: sample size, test statistic
To Calculate: degrees of freedom, P-value



Given: μx̄, x̄, s, n, α
Test hypothesis using Classical Approach and P-value Approach

in



Given: μx̄, x̄, s, n, CL
Test Hypothesis using the Confidence Interval Method

in



Given: μx̄, x̄, σ, n, α
Test hypothesis using Classical Approach and P-value Approach

in

Two Samples Mean: Left-Tailed

Given: Raw datasets $X_1$ and $X_2$ (Samples)
To Calculate: sample sizes, sample means, sample standard deviations, degrees of freedom (several ones: use whatever is applicable)
Use for Independent Samples

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.



Given: Raw datasets $X_1$ and $X_2$ (Samples)
To Calculate: differences between values; sample size, sample mean, and sample standard deviation of the difference, degrees of freedom
Use for Dependent Samples

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.



Two Independent Samples

Given: x̄1, x̄2, s1, s2, n1, n2, α
Where: σ1 and σ2 are unknown, and are assumed to be equal
Pooled Sample Variance is used
Test hypothesis using Classical Approach and P-value Approach

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Two Independent Samples: Confidence Interval Method

Given: x̄1, x̄2, s1, s2, n1, n2, CL
Where: σ1 and σ2 are unknown, and are not assumed to be equal
Pooled Sample Variance is used
Construct a confidence interval for μ1 - μ2

in



Two Independent Samples

Given: x̄1, x̄2, s1, s2, n1, n2, α
Where: σ1 and σ2 are unknown, and are not assumed to be equal
Test hypothesis using Classical Approach and P-value Approach

in



Two Independent Samples: Confidence Interval Method

Given: x̄1, x̄2, s1, s2, n1, n2, CL
Where: σ1 and σ2 are unknown, and are not assumed to be equal
Construct a confidence interval for μ1 - μ2

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Two Samples Mean: Right-Tailed

Given: Raw datasets $X_1$ and $X_2$ (Samples)
To Calculate: sample sizes, sample means, sample standard deviations, degrees of freedom (several ones: use whatever is applicable)
Use for Independent Samples

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.



Given: Raw datasets $X_1$ and $X_2$ (Samples)
To Calculate: differences between values; sample size, sample mean, and sample standard deviation of the difference, degrees of freedom
Use for Dependent Samples

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.



Two Independent Samples

Given: x̄1, x̄2, s1, s2, n1, n2, α
Where: σ1 and σ2 are unknown, and are assumed to be equal
Pooled Sample Variance is used
Test hypothesis using Classical Approach and P-value Approach

in



Two Independent Samples: Confidence Interval Method

Given: x̄1, x̄2, s1, s2, n1, n2, CL
Where: σ1 and σ2 are unknown, and are not assumed to be equal
Pooled Sample Variance is used
Construct a confidence interval for μ1 - μ2

in



Two Independent Samples

Given: x̄1, x̄2, s1, s2, n1, n2, α
Where: σ1 and σ2 are unknown, and are not assumed to be equal
Test hypothesis using Classical Approach and P-value Approach

in



Two Independent Samples: Confidence Interval Method

Given: x̄1, x̄2, s1, s2, n1, n2, CL
Where: σ1 and σ2 are unknown, and are not assumed to be equal
Construct a confidence interval for μ1 - μ2

in

Two Samples Mean: Two-Tailed

Given: Raw datasets $X_1$ and $X_2$ (Samples)
To Calculate: sample sizes, sample means, sample standard deviations, degrees of freedom (several ones: use whatever is applicable)

Please separate each value with a comma. Do not put a comma or a period at the end.



Two Independent Samples

Given: x̄1, x̄2, s1, s2, n1, n2, α
Where: σ1 and σ2 are unknown, and are assumed to be equal
Pooled Sample Variance is used
Test hypothesis using Classical Approach and P-value Approach

in



Two Independent Samples - Confidence Interval Method

Given: x̄1, x̄2, s1, s2, n1, n2, CL
Where: σ1 and σ2 are unknown, and are not assumed to be equal
Pooled Sample Variance is used
Construct a confidence interval for μ1 - μ2

in



Two Independent Samples

Given: x̄1, x̄2, s1, s2, n1, n2, α
Where: σ1 and σ2 are unknown, and are not assumed to be equal
Test hypothesis using Classical Approach and P-value Approach

in



Two Independent Samples - Confidence Interval Method

Given: x̄1, x̄2, s1, s2, n1, n2, CL
Where: σ1 and σ2 are unknown, and are not assumed to be equal
Construct a confidence interval for μ1 - μ2

in

One Sample Standard Deviation: Left-Tailed

Given: n, s, σ, α
Test hypothesis using Classical Approach and P-value Approach

in



Given: Raw dataset $X$ (from Sample)
To Calculate: sample size, sample standard deviation

Please separate each value with a comma. Do not put a comma or a period at the end.

One Sample Standard Deviation: Right-Tailed

Given: n, s, σ, α
Test hypothesis using Classical Approach and P-value Approach

in



Given: Raw dataset $X$ (from Sample)
To Calculate: sample size, sample standard deviation

Please separate each value with a comma. Do not put a comma or a period at the end.

One Sample Standard Deviation: Two-Tailed

Given: n, s, σ, α
Test hypothesis using Classical Approach and P-value Approach

in



Given: n, s, σ, CL
Test Hypothesis using the Confidence Interval Method

in



Given: Raw dataset $X$ (from Sample)
To Calculate: sample size, sample standard deviation

Please separate each value with a comma. Do not put a comma or a period at the end.

Goodness-of-Fit Test: Sample Data: Right-Tailed

Given: CL, df
To Find: α, critical Chi-Square

in



Given: α, df
To Find: CL, critical Chi-Square

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Given: OV, EV
To Calculate: df, Χ2 (Show all steps), P-value

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.





More answers are here:


Given: $OV$, Probabilities, Total Number of Trials
OR
Given: Benford's Law
To Calculate $EV$, $df$, $\chi^2$ (Show all steps), P-value

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.






More answers are here:


Given: $OV$, $EV$, α (Use 5% if not specified)
Test Hypothesis Using Classical Approach and P-value Approach

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.

in



Given: $OV$, Probabilities, Total Number of Trials, α (Use 5% if not specified)
OR
Given: Benford's Law, α (Use 5% if not specified)
Test Hypothesis Using Classical Approach and P-value Approach

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.

in



More answers are here:

Contingency Table
Test of Independence: Sample Data: Right-Tailed

Given: Contingency Table
Test for Independence using the Critical Value Method and the P-value Method

Please fill in the actual data values. Leave extra boxes blank, or put zeros.


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The expected frequencies for each data value is listed below. Please ignore the zeros.


More answers are here:

One-Way ANOVA: Three Samples of Equal Sizes

Given: Datasets 1, 2, and 3
Calculate the F test statistic (Show all work)

More answer here:


Given: Datasets 1, 2, and 3
Test Hypothesis Using Classical Approach and P-value Approach

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.

Please separate each value with a comma. Do not put a comma or a period at the end.

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Two Samples Correlation: Left-Tailed

Given: datasets X and Y
Test hypothesis using the Critical Value Method and the P-value Method

Please type each $x-value$ on a new line. No commas. No spaces. No period. No extra lines.

Please type each $y-value$ on a new line. No commas. No spaces. No period. No extra lines.

in

Two Samples Correlation: Right-Tailed

Given: datasets X and Y
Test hypothesis using the Critical Value Method and the P-value Method

Please type each $x-value$ on a new line. No commas. No spaces. No period. No extra lines.

Please type each $y-value$ on a new line. No commas. No spaces. No period. No extra lines.

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