Domanda del libro di testo
In Exercises 3–6, determine whether a normal sampling distribution can be used. If it can be used, test the claim.
Claim: p <0.12, α=0.01. Sample statistics: p_hat = 0.10, n=40
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Ch. 7 - Hypothesis Testing with One Sample
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470
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TOC.tableOfContents
- Ch. 1 - Introduction to Statistics87
- Ch. 2 - Descriptive Statistics176
- Ch. 3 - Probability184
- Ch. 4 - Discrete Probability Distributions102
- Ch. 5 - Normal Probability Distributions183
- Ch. 6 - Confidence Intervals154
- Ch. 7 - Hypothesis Testing with One Sample165
- Ch. 8 - Hypothesis Testing with Two Samples134
- Ch. 9 - Correlation and Regression87
- Ch. 10 - Chi-Square Tests and the F-Distribution87
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470Non è quello che usi tu?Cambia libro di testo
Capitolo 7, Problema 7.2.8
Interpreting a P-Value In Exercises 3–8, the P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H0 when the level of significance is (a)α=0.01, (b) α=0.05 , and (c) α=0.10.
P = 0.0062
Guida verificata passo dopo passo1
Step 1: Understand the problem. The P-value is a measure of the strength of evidence against the null hypothesis (H0). A smaller P-value indicates stronger evidence to reject H0. The decision to reject H0 depends on comparing the P-value to the significance level (α).
Step 2: Recall the decision rule. If the P-value is less than the significance level (α), reject the null hypothesis (H0). Otherwise, fail to reject H0.
Step 3: Compare the P-value (P = 0.0062) to the significance level α = 0.01. If P < α, reject H0; otherwise, fail to reject H0.
Step 4: Compare the P-value (P = 0.0062) to the significance level α = 0.05. If P < α, reject H0; otherwise, fail to reject H0.
Step 5: Compare the P-value (P = 0.0062) to the significance level α = 0.10. If P < α, reject H0; otherwise, fail to reject H0.
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P-Value
The P-value is a statistical measure that helps determine the significance of results in hypothesis testing. It represents the probability of obtaining results at least as extreme as the observed results, assuming that the null hypothesis (H0) is true. A smaller P-value indicates stronger evidence against H0, suggesting that the null hypothesis may be rejected.
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Percorso guidato
06:50
Step 3: Get P-Value
Null Hypothesis (H0)
The null hypothesis (H0) is a statement that there is no effect or no difference, and it serves as the default assumption in hypothesis testing. Researchers aim to gather evidence to either reject or fail to reject H0 based on the data collected. Understanding H0 is crucial for interpreting the results of a hypothesis test and the associated P-value.
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06:21Step 1: Write Hypotheses
Level of Significance (α)
The level of significance (α) is a threshold set by the researcher before conducting a hypothesis test, which determines the criteria for rejecting the null hypothesis. Common values for α are 0.01, 0.05, and 0.10. If the P-value is less than or equal to α, the null hypothesis is rejected, indicating that the results are statistically significant.
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03:33Finding Binomial Probabilities Using TI-84 Example 1
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