The researchers from a study interviewed two random samples, one in 2015 and one in 2018. Both samples were asked "Have you read a print book in the last Question Help year?" Use the accompanying results from the study to complete parts (a) through (c). Read a print book 2015 2018 Total Yes 1195 726 1921 1372 605 1977 2567 No 1331 Total a Find and compare the sample proportions that had read a print book for these two groups. The sample proportion of the 2015 subjects that read a book within the last year is 622 The sample proportion of the 2018 subjects that read a book within the last year is 694. (Round to four decimal places as needed.) The sample proportion for 2015 is less than the sample proportion for 2018. b. Find a pooled estimate of the sample proportion. A pooled estimate of the sample proportion is (Round to four decimal places as needed) c. Has the proportion who read print books increased? Find the observed value of the test statistic to test the hypotheses Ho P, = P2 and H, P,

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The image shows a statistical problem from an educational website involving the analysis of survey data regarding people reading print books in 2015 and 2018. Here's the transcription and explanation:

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The researchers from a study interviewed two random samples, one in 2015 and one in 2018. Both samples were asked, "Have you read a print book in the last year?" Use the accompanying results from the study to complete parts (a) through (c):

**Read a Print Book**

| Year | Yes  | No   | Total |
|------|------|------|-------|
| 2015 | 1195 | 726  | 1921  |
| 2018 | 1372 | 605  | 1977  |

**a.** Find and compare the sample proportions that had read a print book for these two groups.

- The sample proportion of the 2015 subjects that read a book within the last year is \(\frac{1195}{1921}\).

- The sample proportion of the 2018 subjects that read a book within the last year is \(\frac{1372}{1977}\).

(Round to four decimal places as needed.)

- The sample proportion for 2015 is **less than** the sample proportion for 2018.

**b.** Find a pooled estimate of the sample proportion.

- A pooled estimate of the sample proportion is calculated using the formula: 

\[ \hat{p} = \frac{1195 + 1372}{1921 + 1977} \]

(Round to four decimal places as needed.)

**c.** Has the proportion who read print books increased? Find the observed value of the test statistic to test the hypotheses \( H_0: p_1 = p_2 \) and \( H_1: p_1 < p_2 \) assuming the conditions for a two-proportion z-test hold. Use a significance level of 0.05.

- The test statistic is \( z = \) 

(Round to two decimal places as needed.)

- Identify the p-value.

(Round to three decimal places as needed.)

- Since the p-value is **[comparison]** the significance level of \(\alpha = 0.05\), there is **[sufficient/insufficient]** evidence to support the claim that the proportion of people in 2015 that read a book in the last year is **
Transcribed Image Text:The image shows a statistical problem from an educational website involving the analysis of survey data regarding people reading print books in 2015 and 2018. Here's the transcription and explanation: --- The researchers from a study interviewed two random samples, one in 2015 and one in 2018. Both samples were asked, "Have you read a print book in the last year?" Use the accompanying results from the study to complete parts (a) through (c): **Read a Print Book** | Year | Yes | No | Total | |------|------|------|-------| | 2015 | 1195 | 726 | 1921 | | 2018 | 1372 | 605 | 1977 | **a.** Find and compare the sample proportions that had read a print book for these two groups. - The sample proportion of the 2015 subjects that read a book within the last year is \(\frac{1195}{1921}\). - The sample proportion of the 2018 subjects that read a book within the last year is \(\frac{1372}{1977}\). (Round to four decimal places as needed.) - The sample proportion for 2015 is **less than** the sample proportion for 2018. **b.** Find a pooled estimate of the sample proportion. - A pooled estimate of the sample proportion is calculated using the formula: \[ \hat{p} = \frac{1195 + 1372}{1921 + 1977} \] (Round to four decimal places as needed.) **c.** Has the proportion who read print books increased? Find the observed value of the test statistic to test the hypotheses \( H_0: p_1 = p_2 \) and \( H_1: p_1 < p_2 \) assuming the conditions for a two-proportion z-test hold. Use a significance level of 0.05. - The test statistic is \( z = \) (Round to two decimal places as needed.) - Identify the p-value. (Round to three decimal places as needed.) - Since the p-value is **[comparison]** the significance level of \(\alpha = 0.05\), there is **[sufficient/insufficient]** evidence to support the claim that the proportion of people in 2015 that read a book in the last year is **
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