Domanda del libro di testo
n Exercises 1–6, the statement represents a claim. Write its complement and state which is H0 and which is Ha.
μ ≤ 375
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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.RE.3
n Exercises 1–6, the statement represents a claim. Write its complement and state which is H0 and which is Ha.
p < 0.205
Guida verificata passo dopo passo1
Identify the claim in the problem. The claim is 'p < 0.205', which is a statement about the population proportion (p).
Understand that the complement of the claim is the opposite of the inequality. The complement of 'p < 0.205' is 'p ≥ 0.205'.
Determine which statement represents the null hypothesis (H0) and which represents the alternative hypothesis (Ha). The null hypothesis (H0) always includes equality or '≥', while the alternative hypothesis (Ha) represents the claim or the inequality 'p < 0.205'.
Assign the hypotheses: H0: p ≥ 0.205 (the complement) and Ha: p < 0.205 (the claim).
Conclude that the null hypothesis (H0) is the statement to be tested, while the alternative hypothesis (Ha) is what we aim to support if the evidence is sufficient.
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Null Hypothesis (H0)
The null hypothesis (H0) is a statement that indicates no effect or no difference, serving as a default position in statistical testing. In this context, it represents the claim that the population proportion is greater than or equal to 0.205, which is the opposite of the alternative hypothesis.
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Percorso guidato
06:21
Step 1: Write Hypotheses
Alternative Hypothesis (Ha)
The alternative hypothesis (Ha) is a statement that contradicts the null hypothesis, suggesting that there is an effect or a difference. For the given claim 'p < 0.205', the alternative hypothesis would be that the population proportion is indeed less than 0.205, indicating a specific direction of interest.
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Percorso guidato
06:21Step 1: Write Hypotheses
Complement of a Statement
The complement of a statement refers to the opposite scenario of the original claim. In this case, the complement of 'p < 0.205' is 'p ≥ 0.205', which encompasses all values that are not less than 0.205, thus providing a complete view of the possible outcomes in hypothesis testing.
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Percorso guidato
4:23Complementary Events
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