4) February 12, 2009 marked the 200th anniversary of Charles Darwin's birth. To celebrate, Gallu

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4) February 12, 2009 marked the 200th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table. Note that the expected counts for most cells appear in parentheses. | | High School or Less | Some College | College Graduate | Postgraduate | Total | | :--- | :--- | :--- | :--- | :--- | :--- | | Believe | 80 (148.2) | 133 (126.7) | 121 (88.9) | 63 (33.1) | 397 | | Do Not Believe | 103 (94.8) | 94 (81.1) | 48 (?) | 9 (21.2) | 254 | | No Opinion | 197 (137.0) | 98 (117.2) | 59 (82.2) | 13 (30.6) | 367 | | Total | 380 | 325 | 228 | 85 | 1,018 | a. Compute the expected cell count for the (College Graduate, Do Not Believe) cell. Report your answer with one decimal place. Use the formula:( row total x column total)/total b. What are the degrees of freedom for the test? c. State the hypotheses for testing whether the data indicate that there is some association between education level and belief in evolution. d. Which test would you use and why? e. Using a 5% significance level, the test statistic is = 127.451 and the p-value is <0.001. What is the appropriate statistical conclusion?

          4) February 12, 2009 marked the 200th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table. Note that the expected counts for most cells appear in parentheses.

| | High School or Less | Some College | College Graduate | Postgraduate | Total |
| :--- | :--- | :--- | :--- | :--- | :--- |
| Believe | 80 (148.2) | 133 (126.7) | 121 (88.9) | 63 (33.1) | 397 |
| Do Not Believe | 103 (94.8) | 94 (81.1) | 48 (?) | 9 (21.2) | 254 |
| No Opinion | 197 (137.0) | 98 (117.2) | 59 (82.2) | 13 (30.6) | 367 |
| Total | 380 | 325 | 228 | 85 | 1,018 |

a. Compute the expected cell count for the (College Graduate, Do Not Believe) cell. Report your answer with one decimal place. Use the formula:( row total x column total)/total

b. What are the degrees of freedom for the test?

c. State the hypotheses for testing whether the data indicate that there is some association between education level and belief in evolution.

d. Which test would you use and why?

e. Using a 5% significance level, the test statistic is = 127.451 and the p-value is <0.001. What is the appropriate statistical conclusion?

4) February 12, 2009 marked the 200th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table. Note that the expected counts for most cells appear in parentheses.

| | High School or Less | Some College | College Graduate | Postgraduate | Total |
| :— | :— | :— | :— | :— | :— |
| Believe | 80 (148.2) | 133 (126.7) | 121 (88.9) | 63 (33.1) | 397 |
| Do Not Believe | 103 (94.8) | 94 (81.1) | 48 (?) | 9 (21.2) | 254 |
| No Opinion | 197 (137.0) | 98 (117.2) | 59 (82.2) | 13 (30.6) | 367 |
| Total | 380 | 325 | 228 | 85 | 1,018 |

a. Compute the expected cell count for the (College Graduate, Do Not Believe) cell. Report your answer with one decimal place. Use the formula:( row total x column total)/total

b. What are the degrees of freedom for the test?

c. State the hypotheses for testing whether the data indicate that there is some association between education level and belief in evolution.

d. Which test would you use and why?

e. Using a 5% significance level, the test statistic is = 127.451 and the p-value is <0.001. What is the appropriate statistical conclusion?

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