Test of p= 0.9 vs p#0.9 Sample X N Sample p 0.894129 95% CI Z-Value P.Value 1934 2,163 (0.877088,0.911169) -0.91 0.363 a. Is the test two-tailed, left-tailed, or right-tailed? O Left-tailed test O Right tailed test O Two-talled test b. What is the test statistic? The test statistic is O (Round to two decimal places as needed.) c. What is the P-value? The P.value isO (Round to three decimal places as needed.) d. What is the null hypothesis and what do you conclude it? Identify the null hypothesis. O A. Ho: p<0.9 O B. Ho: p0.9 OC. Ho: p>0.9 OD. Ho: p=0.9 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 nul hypothesis because the P-value is less than or equal to the significance level, a. OC. Fail to reject the null hypothesis because the P-value is greater than the significance level, a. OD. Reject the nul hypothesis because the Pvalue is greater than the significance level, a.

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A poll of 2,163 randomly selected adults showed that 89% of them own cell phones. The technology display below results from a test of the claim that 90% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.01 significance level to complete parts (a) through (e).

Test of p = 0.9 vs p ≠ 0.9

| Sample | X   | N    | Sample p  | 95% CI              | Z-Value | P-Value |
|--------|-----|------|-----------|---------------------|---------|---------|
| 1      | 1934| 2163 | 0.894129  | (0.877088, 0.911169)| -0.91   | 0.363   |

a. Is the test two-tailed, left-tailed, or right-tailed?
- Left-tailed test
- Right-tailed test
- Two-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.
- \( \text{A. } H_0: p < 0.9 \)
- \( \text{B. } H_0: p \leq 0.9 \)
- \( \text{C. } H_0: p > 0.9 \)
- \( \text{D. } H_0: p = 0.9 \)

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 less than or equal to the significance level, α.
- C. Fail to reject the null hypothesis because the P-value is greater than the significance level, α.
- D. Reject the null hypothesis because the P-value is greater than the significance level, α.
Transcribed Image Text:A poll of 2,163 randomly selected adults showed that 89% of them own cell phones. The technology display below results from a test of the claim that 90% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.01 significance level to complete parts (a) through (e). Test of p = 0.9 vs p ≠ 0.9 | Sample | X | N | Sample p | 95% CI | Z-Value | P-Value | |--------|-----|------|-----------|---------------------|---------|---------| | 1 | 1934| 2163 | 0.894129 | (0.877088, 0.911169)| -0.91 | 0.363 | a. Is the test two-tailed, left-tailed, or right-tailed? - Left-tailed test - Right-tailed test - Two-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. - \( \text{A. } H_0: p < 0.9 \) - \( \text{B. } H_0: p \leq 0.9 \) - \( \text{C. } H_0: p > 0.9 \) - \( \text{D. } H_0: p = 0.9 \) 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 less than or equal to the significance level, α. - C. Fail to reject the null hypothesis because the P-value is greater than the significance level, α. - D. Reject the null hypothesis because the P-value is greater than the significance level, α.
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