A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 60%. If 127 out of a random sample of 215 college students expressed an intent to vote, can we reject the aide's estimate at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below.

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### Hypothesis Testing Framework

#### 1. The null hypothesis:
- \( H_0: \) [Input Required]

#### 2. The alternative hypothesis:
- \( H_1: \) [Input Required]

#### 3. The type of test statistic:
- [Dropdown selection is required; options likely include z-test, t-test, chi-square, etc.]

#### 4. The value of the test statistic:
- [Input Required] (Round to at least three decimal places.)

#### 5. The p-value:
- [Input Required] (Round to at least three decimal places.)

#### 6. Decision-making question:
- Can we reject the aide's estimate that the proportion of college students who intend to vote is at least 60%?
  - [Yes/No radio button selection required]

#### Additional Interface Features:
- The image includes a selection panel for inserting statistical symbols such as:
  - \( \mu, \sigma, p, \bar{x}, s, \hat{p} \)
  - Comparison symbols: \( =, \neq, \leq, <, \geq, > \)

These elements suggest an educational focus on guiding the user through the hypothesis testing process, requiring inputs for hypotheses, test statistics, and decision-making based on p-values.
Transcribed Image Text:### Hypothesis Testing Framework #### 1. The null hypothesis: - \( H_0: \) [Input Required] #### 2. The alternative hypothesis: - \( H_1: \) [Input Required] #### 3. The type of test statistic: - [Dropdown selection is required; options likely include z-test, t-test, chi-square, etc.] #### 4. The value of the test statistic: - [Input Required] (Round to at least three decimal places.) #### 5. The p-value: - [Input Required] (Round to at least three decimal places.) #### 6. Decision-making question: - Can we reject the aide's estimate that the proportion of college students who intend to vote is at least 60%? - [Yes/No radio button selection required] #### Additional Interface Features: - The image includes a selection panel for inserting statistical symbols such as: - \( \mu, \sigma, p, \bar{x}, s, \hat{p} \) - Comparison symbols: \( =, \neq, \leq, <, \geq, > \) These elements suggest an educational focus on guiding the user through the hypothesis testing process, requiring inputs for hypotheses, test statistics, and decision-making based on p-values.
A presidential candidate's aide estimates that, among all college students, the proportion \( p \) who intend to vote in the upcoming election is at least 60%. If 127 out of a random sample of 215 college students expressed an intent to vote, can we reject the aide's estimate at the 0.1 level of significance?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
Transcribed Image Text:A presidential candidate's aide estimates that, among all college students, the proportion \( p \) who intend to vote in the upcoming election is at least 60%. If 127 out of a random sample of 215 college students expressed an intent to vote, can we reject the aide's estimate at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
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