A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 65%, Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belef can be supported. State the null hypothesis H, and the alternative hypothesis H that we would use for this test. H: 0 ce

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A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 65%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_a \) that we would use for this test.

**Hypotheses:**

\[ H_0: \,\, p = 0.65 \]

\[ H_a: \,\, p \neq 0.65 \]

The image includes a box for writing hypotheses and a set of symbols and templates to help construct the null and alternative hypotheses. The provided elements include symbols for mean (\(\mu\)), proportion (\(p\)), standard deviation (\(\sigma\)), and others, alongside various mathematical and statistical operations.
Transcribed Image Text:A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 65%. Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_a \) that we would use for this test. **Hypotheses:** \[ H_0: \,\, p = 0.65 \] \[ H_a: \,\, p \neq 0.65 \] The image includes a box for writing hypotheses and a set of symbols and templates to help construct the null and alternative hypotheses. The provided elements include symbols for mean (\(\mu\)), proportion (\(p\)), standard deviation (\(\sigma\)), and others, alongside various mathematical and statistical operations.
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