Express the null hypothesis and the alternative hypothesis in symbolic form for a test to support each claim. Use the correct symbol (µ, p) for the indicated parameter. 4) a. A psychologist claims that 7.5 percent of the population suffers from professional problems due to extreme shyness. 4) b. A cereal company claims that the mean weight of the cereal in its packets is at least 14 Oz.

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**Expressing Hypotheses in Symbolic Form**

For each claim, express the null hypothesis (\(H_0\)) and the alternative hypothesis (\(H_a\)) in symbolic form. Use the correct symbol (\(\mu\) for mean, \(p\) for proportion).

**4) Problems and Mean Weight Claims**

**a) Psychologist's Claim:**
- **Claim:** 7.5 percent of the population suffers from professional problems due to extreme shyness.
- **Parameter:** \(p\) (proportion)
  - **Null Hypothesis (\(H_0\)):** \(p = 0.075\)
  - **Alternative Hypothesis (\(H_a\)):** \(p \neq 0.075\)

**b) Cereal Company's Claim:**
- **Claim:** The mean weight of the cereal in its packets is at least 14 oz.
- **Parameter:** \(\mu\) (mean)
  - **Null Hypothesis (\(H_0\)):** \(\mu \geq 14\)
  - **Alternative Hypothesis (\(H_a\)):** \(\mu < 14\)
Transcribed Image Text:**Expressing Hypotheses in Symbolic Form** For each claim, express the null hypothesis (\(H_0\)) and the alternative hypothesis (\(H_a\)) in symbolic form. Use the correct symbol (\(\mu\) for mean, \(p\) for proportion). **4) Problems and Mean Weight Claims** **a) Psychologist's Claim:** - **Claim:** 7.5 percent of the population suffers from professional problems due to extreme shyness. - **Parameter:** \(p\) (proportion) - **Null Hypothesis (\(H_0\)):** \(p = 0.075\) - **Alternative Hypothesis (\(H_a\)):** \(p \neq 0.075\) **b) Cereal Company's Claim:** - **Claim:** The mean weight of the cereal in its packets is at least 14 oz. - **Parameter:** \(\mu\) (mean) - **Null Hypothesis (\(H_0\)):** \(\mu \geq 14\) - **Alternative Hypothesis (\(H_a\)):** \(\mu < 14\)
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