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6.5: Rare Events, the Sample, Decision and Conclusion
https://stats.libretexts.org/Courses/Marian_University/Applied_Statistics_for_Social_Science_(19-20)/06%3A_Hypothesis_Testing_with_One_Sample/6.5%3A_Rare_Events_the_Sample_Decision_and_Conclusion
When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not t...When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not to reject or to reject a null hypothesis. To test a null hypothesis, find the p-value for the sample data and graph the results.
9.3.5: Rare Events, the Sample, Decision and Conclusion
https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/09%3A_Hypothesis_Testing_about_Population_Mean_and_Proportion/9.03%3A_Hypothesis_Testing_with_One_Sample/9.3.05%3A_Rare_Events_the_Sample_Decision_and_Conclusion
When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not t...When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not to reject or to reject a null hypothesis. To test a null hypothesis, find the p-value for the sample data and graph the results.
9.3: One-Sample Test
https://stats.libretexts.org/Bookshelves/Applied_Statistics/Business_Statistics_(OpenStax)/09%3A_Hypothesis_Testing_with_One_Sample/9.03%3A_One-Sample_Test
This page covers hypothesis testing for population means and proportions, detailing the use of normal and Student's $t$ -distributions, calculation of test statistics (Z-values), and decision-making ...This page covers hypothesis testing for population means and proportions, detailing the use of normal and Student's $t$ -distributions, calculation of test statistics (Z-values), and decision-making based on critical values and p-values. It emphasizes the bias towards the null hypothesis, discusses one-tailed and two-tailed tests, and outlines a systematic approach for hypothesis testing, including the importance of sample size and the appropriate distribution based on known standard deviation.
7.5: Critical values, p-values, and significance level
https://stats.libretexts.org/Bookshelves/Applied_Statistics/An_Introduction_to_Psychological_Statistics_(Foster_et_al.)/07%3A__Introduction_to_Hypothesis_Testing/7.05%3A_Critical_values_p-values_and_significance_level
If we go to the normal table, we will find that the z-score corresponding to 5% of the area under the curve is equal to 1.645 ( $z$ = 1.64 corresponds to 0.0405 and $z$ = 1.65 corresponds to 0.0495...If we go to the normal table, we will find that the z-score corresponding to 5% of the area under the curve is equal to 1.645 ( $z$ = 1.64 corresponds to 0.0405 and $z$ = 1.65 corresponds to 0.0495, so .05 is exactly in between them) if we go to the right and -1.645 if we go to the left.
10.5: Rare Events, the Sample, Decision and Conclusion
https://stats.libretexts.org/Courses/Queensborough_Community_College/MA336%3A_Statistics/10%3A_Hypothesis_Testing_with_One_Sample/10.05%3A_Rare_Events_the_Sample_Decision_and_Conclusion
When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not t...When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not to reject or to reject a null hypothesis. To test a null hypothesis, find the p-value for the sample data and graph the results.
6.5: Rare Events, the Sample, Decision and Conclusion
https://stats.libretexts.org/Courses/Marian_University/Applied_Statistics_for_Social_Science/06%3A_Hypothesis_Testing_with_One_Sample/6.5%3A_Rare_Events%2C_the_Sample%2C_Decision_and_Conclusion
When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not t...When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not to reject or to reject a null hypothesis. To test a null hypothesis, find the p-value for the sample data and graph the results.
7.5: Rare Events, the Sample, Decision and Conclusion
https://stats.libretexts.org/Courses/Prince_George's_Community_College/MAT1140%3A_Introduction_to_Statistics/07%3A_Hypothesis_Testing_with_One_Sample/7.05%3A_Rare_Events_the_Sample_Decision_and_Conclusion
When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not t...When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not to reject or to reject a null hypothesis. To test a null hypothesis, find the p-value for the sample data and graph the results.
9.5: Rare Events, the Sample, Decision and Conclusion
https://stats.libretexts.org/Courses/Diablo_Valley_College/Math_142%3A_Elementary_Statistics_(Kwai-Ching)/Math_142%3A_Text_(Openstax)/09%3A_Hypothesis_Testing_with_One_Sample/9.05%3A_Rare_Events_the_Sample_Decision_and_Conclusion
When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not t...When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not to reject or to reject a null hypothesis. To test a null hypothesis, find the p-value for the sample data and graph the results.
9.4: Distribution Needed for Hypothesis Testing
https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/09%3A_Hypothesis_Testing_with_One_Sample/9.04%3A_Distribution_Needed_for_Hypothesis_Testing
The horizontal axis of the bottom panel is labeled $Z$ and is the standard normal distribution. $Z_{\frac{\alpha}{2}}$ and $-Z_{\frac{\alpha}{2}}$ , called the critical values, are marked on the ...The horizontal axis of the bottom panel is labeled $Z$ and is the standard normal distribution. $Z_{\frac{\alpha}{2}}$ and $-Z_{\frac{\alpha}{2}}$ , called the critical values, are marked on the bottom panel as the $Z$ values associated with the probability the analyst has set as the level of significance in the test, ( $\alpha$ ).
9.5: Rare Events, the Sample, Decision and Conclusion
https://stats.libretexts.org/Courses/El_Camino_College/Introductory_Statistics/09%3A_Hypothesis_Testing_with_One_Sample/9.5%3A_Rare_Events_the_Sample_Decision_and_Conclusion
When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not t...When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not to reject or to reject a null hypothesis. To test a null hypothesis, find the p-value for the sample data and graph the results.
9.5: Rare Events, the Sample, Decision and Conclusion
https://stats.libretexts.org/Courses/Los_Angeles_City_College/Introductory_Statistics/09%3A_Hypothesis_Testing_with_One_Sample/9.05%3A_Rare_Events_the_Sample_Decision_and_Conclusion
When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not t...When the probability of an event occurring is low, and it happens, it is called a rare event. Rare events are important to consider in hypothesis testing because they can inform your willingness not to reject or to reject a null hypothesis. To test a null hypothesis, find the p-value for the sample data and graph the results.

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