Answer the following questions using the data given below. Phone Hold Time for Concert Tickets in Seconds (n Operators (X) Wait Time (Y) 385 335 383 344 288 O a 4 Click here for the Excel Data File Ob 5 Oc 6 7 (a) Choose the correct set of hypotheses for a two-tailed test for a zero slope. a. He: ₁20 vs. H₁: B₁ <0 b. He: B₁ ≤0 vs. H₁: B₁0 c. He: B₁ = 0 vs. H₁: B₁ #0 8 p-value = 5) (b-1) What is the p-value? (Round your answer to 4 decimal places.)

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**Dataset and Hypothesis Testing Instruction**

**Data Overview:**

The table below presents data related to phone hold times for concert tickets:

| Operators (X) | Wait Time (Y) in Seconds |
|---------------|--------------------------|
| 4             | 385                      |
| 5             | 335                      |
| 6             | 383                      |
| 7             | 344                      |
| 8             | 288                      |

**Click here for the Excel Data File**

**Statistical Analysis:**

**(a)** Select the appropriate set of hypotheses for a two-tailed test aimed at checking for a zero slope:

- a. \(H_0: \beta_1 \geq 0 \) vs. \(H_1: \beta_1 < 0\)
- b. \(H_0: \beta_1 \leq 0 \) vs. \(H_1: \beta_1 > 0\)
- c. \(H_0: \beta_1 = 0 \) vs. \(H_1: \beta_1 \neq 0\)

Which option is correct?
- O a
- O b
- O c

**(b-1)** Determine the p-value (round your answer to four decimal places):

- **p-value:** [Input Box]
Transcribed Image Text:**Dataset and Hypothesis Testing Instruction** **Data Overview:** The table below presents data related to phone hold times for concert tickets: | Operators (X) | Wait Time (Y) in Seconds | |---------------|--------------------------| | 4 | 385 | | 5 | 335 | | 6 | 383 | | 7 | 344 | | 8 | 288 | **Click here for the Excel Data File** **Statistical Analysis:** **(a)** Select the appropriate set of hypotheses for a two-tailed test aimed at checking for a zero slope: - a. \(H_0: \beta_1 \geq 0 \) vs. \(H_1: \beta_1 < 0\) - b. \(H_0: \beta_1 \leq 0 \) vs. \(H_1: \beta_1 > 0\) - c. \(H_0: \beta_1 = 0 \) vs. \(H_1: \beta_1 \neq 0\) Which option is correct? - O a - O b - O c **(b-1)** Determine the p-value (round your answer to four decimal places): - **p-value:** [Input Box]
**(b-1)** What is the *p*-value? (**Round your answer to 4 decimal places.**)

[Input Box] p-value [Input Box]

**(b-2)** State the 95% confidence interval for the slope. (**Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.**)

[Input Box] The confidence interval is from [Input Box] to [Input Box]

**(c)** Choose the correct statement.

- (Option 1) The slope is not significantly different from zero.
- (Option 2) The slope is significantly different from zero.
Transcribed Image Text:**(b-1)** What is the *p*-value? (**Round your answer to 4 decimal places.**) [Input Box] p-value [Input Box] **(b-2)** State the 95% confidence interval for the slope. (**Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.**) [Input Box] The confidence interval is from [Input Box] to [Input Box] **(c)** Choose the correct statement. - (Option 1) The slope is not significantly different from zero. - (Option 2) The slope is significantly different from zero.
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