According to a study completed in 2006 by Pew Internet, 42% of all Americans had a broadband Internet connection at home. This same statistics student wanted to see if this percentage is different for students at his university. Ho: p = 0.42 Ha: p ≠ 0.42 Based upon the data the student collected, a 95% confidence interval for p was found to be: (0.439, 0.457). At the 0.05 level of significance, which conclusion can be made? a. The student should reject the null hypothesis, because 0.42 is a possible value for p given the data collected. b. The student should not reject the null hypothesis, because 0.42 is not a possible value for p given the data collected. c. The student should reject the null hypothesis, because 0.42 is not a possible value for p given the data collected. d. The student should not reject the null hypothesis, because 0.42 is a possible value for p given the data collected.
According to a study completed in 2006 by Pew Internet, 42% of all Americans had a broadband Internet connection at home. This same statistics student wanted to see if this percentage is different for students at his university.
Ho: p = 0.42 Ha: p ≠ 0.42
Based upon the data the student collected, a 95% confidence interval for p was found to be: (0.439, 0.457).
At the 0.05 level of significance, which conclusion can be made?
| a. |
The student should reject the null hypothesis, because 0.42 is a possible value for p given the data collected. |
|
| b. |
The student should not reject the null hypothesis, because 0.42 is not a possible value for p given the data collected. |
|
| c. |
The student should reject the null hypothesis, because 0.42 is not a possible value for p given the data collected. |
|
| d. |
The student should not reject the null hypothesis, because 0.42 is a possible value for p given the data collected. |
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