If there is one prayer that you should pray/sing every day and every hour, it is the LORD's prayer (Our FATHER in Heaven prayer)
It is the most powerful prayer. A pure heart, a clean mind, and a clear conscience is necessary for it.
- Samuel Dominic Chukwuemeka

For in GOD we live, and move, and have our being. - Acts 17:28

The Joy of a Teacher is the Success of his Students. - Samuel Chukwuemeka

# Hypothesis Testing Calculators I greet you this day:

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

in

Given: α
To Find: CL, -zα/2

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

in

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## One Sample Proportion: Right-Tailed

Given: CL
To Find: α, zα

in

Given: α
To Find: CL, zα

in

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

in

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

in

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

in

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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

in

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

in

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

in

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

in

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## Two Samples Proportion: Left-Tailed

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

in

## Two Samples Proportion: Right-Tailed

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

in

## Two Samples Proportion: Two-Tailed

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

in

## Two Samples Proportion: Confidence Interval Estimate

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

in

## One Sample Mean: Left-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: μ, x̄, s, n, α
Test hypothesis using Classical Approach and P-value Approach

in

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

in

## One Sample Mean: Right-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: μ, x̄, s, n, α
Test hypothesis using Classical Approach and P-value Approach

in

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

in

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

in

Given: μ, 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:1, 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:1, 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:1, 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:1, 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: 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:1, 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:1, 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:1, 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:1, 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:1, 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:1, 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:1, 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

in

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.

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.

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

## 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.

in

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

## One-Way ANOVA: Three Samples of Equal Sizes

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

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.

in

## 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.

in