A poll of 2,114 randomly selected adults showed that 94% of them own cell phones. The technology display below results from a test of the cl adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.01 significance level to o (a) through (e). Test of p = 0.91 vs p#0.91 Sample X Sample p 95% CI Z-Value P-Value 1 1987 2,114 0.939924 (0.926612,0.953237) 4.81 0.000 ..... a. Is the test two-tailed, left-tailed, or right-tailed? Two-tailed test Right tailed test Left-tailed test b. What is the test statistic? The test statistic is. (Round to two decimal places as needed.) c. What is the P-value? The P-value is. (Round to three decimal places as needed.) d. What is the null hypothesis and what do you conclude about it? Identify the null hypothesis. O A. Ho: p>0.91 О в. Но: р#0.91 Ос. Но: р<0.91 O D. Ho: p= 0.91 Choose the correct answer below. O A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. O B. Reject the null hypothesis because the P-value is greater than the significance level, a. O C. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.

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A poll of 2,114 randomly selected adults showed that 94% of them own cell phones. The technology display below shows results from a test of the claim that 91% of adults own cell phones. Using the normal distribution as an approximation to the binomial distribution, and assuming a 0.01 significance level, complete parts (a) through (e).

**Test of p = 0.91 vs p ≠ 0.91**

| Sample | X    | N    | Sample p | 95% CI          | Z-Value | P-Value |
|--------|------|------|----------|-----------------|---------|---------|
| 1      | 1987 | 2,114| 0.939924 | (0.926612, 0.953237) | 4.81    | 0.000   |

a. Is the test two-tailed, left-tailed, or right-tailed?
- [ ] Two-tailed test
- [ ] Right-tailed test
- [ ] Left-tailed test

b. What is the test statistic?
- The test statistic is [__].
  (Round to two decimal places as needed.)

c. What is the P-value?
- The P-value is [__].
  (Round to three decimal places as needed.)

d. What is the null hypothesis and what do you conclude about it?

Identify the null hypothesis.
- [ ] A. H₀: p > 0.91
- [ ] B. H₀: p ≠ 0.91
- [ ] C. H₀: p < 0.91
- [ ] D. H₀: p = 0.91

Choose the correct answer below.
- [ ] A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α.
- [ ] B. Reject the null hypothesis because the P-value is greater than the significance level, α.
- [ ] C. Reject the null hypothesis because the P-value is less than or equal to the significance level, α.
- [ ] D. Fail to reject the null hypothesis because the P-value is greater than the significance level, α.
Transcribed Image Text:A poll of 2,114 randomly selected adults showed that 94% of them own cell phones. The technology display below shows results from a test of the claim that 91% of adults own cell phones. Using the normal distribution as an approximation to the binomial distribution, and assuming a 0.01 significance level, complete parts (a) through (e). **Test of p = 0.91 vs p ≠ 0.91** | Sample | X | N | Sample p | 95% CI | Z-Value | P-Value | |--------|------|------|----------|-----------------|---------|---------| | 1 | 1987 | 2,114| 0.939924 | (0.926612, 0.953237) | 4.81 | 0.000 | a. Is the test two-tailed, left-tailed, or right-tailed? - [ ] Two-tailed test - [ ] Right-tailed test - [ ] Left-tailed test b. What is the test statistic? - The test statistic is [__]. (Round to two decimal places as needed.) c. What is the P-value? - The P-value is [__]. (Round to three decimal places as needed.) d. What is the null hypothesis and what do you conclude about it? Identify the null hypothesis. - [ ] A. H₀: p > 0.91 - [ ] B. H₀: p ≠ 0.91 - [ ] C. H₀: p < 0.91 - [ ] D. H₀: p = 0.91 Choose the correct answer below. - [ ] A. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α. - [ ] B. Reject the null hypothesis because the P-value is greater than the significance level, α. - [ ] C. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. - [ ] D. Fail to reject the null hypothesis because the P-value is greater than the significance level, α.
### Question:
**e. What is the final conclusion?**

### Answer Options:
- **A.** There is sufficient evidence to warrant rejection of the claim that 91% of adults own a cell phone.
- **B.** There is sufficient evidence to support the claim that 91% of adults own a cell phone.
- **C.** There is not sufficient evidence to warrant rejection of the claim that 91% of adults own a cell phone.
- **D.** There is not sufficient evidence to support the claim that 91% of adults own a cell phone.
Transcribed Image Text:### Question: **e. What is the final conclusion?** ### Answer Options: - **A.** There is sufficient evidence to warrant rejection of the claim that 91% of adults own a cell phone. - **B.** There is sufficient evidence to support the claim that 91% of adults own a cell phone. - **C.** There is not sufficient evidence to warrant rejection of the claim that 91% of adults own a cell phone. - **D.** There is not sufficient evidence to support the claim that 91% of adults own a cell phone.
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