# Hypothesis Testing in Statistics Flashcards

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You conclude that the null hypothesis is true, but it is false.

You conclude that the null hypothesis is false, but it is actually true.

the width of the confidence interval decreases (the null hypothesis is more likely to be rejected)

Distribution to use when we don't know the standard deviation of the population mean and we have a small sample

The population size is at least 20 times larger than the sample.

The sampling method must be random.

There are only two outcomes for each sample.

There are at least 10 successes and 10 failures.

p_hat = 150 / 300 = 0.5

The null hypothesis is rejected if the p-value is less than or equal to the desired significance.

The procedure used in statistics to see whether a particular hypothesis is acceptable.

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## Flashcard Content Overview

Hypothesis testing is an important part of statistical analysis and scientific research. In these flashcards we will review the following concepts:

- Null hypothesis
- Alternative hypothesis
- Using the p-value for testing a mean
- Calculating the z-score for comparisons of proportions
- The conditions for hypothesis testing of a proportion
- Testing of matched pairs
- The relationship between confidence intervals and hypothesis testing
- Type I and type II errors

The procedure used in statistics to see whether a particular hypothesis is acceptable.

The null hypothesis is rejected if the p-value is less than or equal to the desired significance.

p_hat = 150 / 300 = 0.5

The population size is at least 20 times larger than the sample.

The sampling method must be random.

There are only two outcomes for each sample.

There are at least 10 successes and 10 failures.

Distribution to use when we don't know the standard deviation of the population mean and we have a small sample

the width of the confidence interval decreases (the null hypothesis is more likely to be rejected)

You conclude that the null hypothesis is false, but it is actually true.

You conclude that the null hypothesis is true, but it is false.

Reject the null hypothesis

Paired t-test

alpha = 0.10

Salary

The average salary of Boston residents is not equal to that of California residents.

p-value and region of acceptance

The samples must be independent.

n_1*p_1, n1*q_1, n_2*p_2 and n_2*q_2 must all be greater than or equal to 5.

No, there is not enough evidence that the difference exists.

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Back To Course

Statistics 101: Principles of Statistics11 chapters | 141 lessons | 9 flashcard sets

- Go to Probability

- Go to Sampling

- Overview of Statistics Flashcards
- Summarizing Data Flashcards
- Tables and Plots Flashcards
- Probability Flashcards
- Discrete Probability Distributions Flashcards
- Continuous Probability Distributions Flashcards
- Regression & Correlation Flashcards
- Statistical Estimation Flashcards
- Hypothesis Testing in Statistics Flashcards
- Critical Values of the t-Distribution Statistical Table
- Binomial Probabilities Statistical Tables
- Go to Studying for Statistics 101