A researcher wants to know if the news station a person watchesis a factor in the amount of time (in minutes) that they watch. Thetable below shows data that was collected from a survey.
| Local | FOX | CNN |
|---|
| 56 | 50 | 64 |
| 20 | 43 | 67 |
| 25 | 30 | 23 |
| 61 | 62 | 24 |
| 53 | 51 | 63 |
| 43 | 16 | 38 |
| 35 | 61 | 42 |
| 23 | | |
Assume that all distributions are normal, the three populationstandard deviations are all the same, and the data was collectedindependently and randomly. Use a level of significance of?=0.01?=0.01.
H0: ?1=?2=?3H0: ?1=?2=?3
H1:H1: At least two of the means differ from each other.
- For this study, we should use Select an answer TInterval2-SampTTest T-Test ANOVA 1-PropZInt 2-SampTInt 1-PropZTest ?²-Test2-PropZInt 2-PropZTest ?²GOF-Test
- The test-statistic for this data = (Please show youranswer to 3 decimal places.)
- The p-value for this sample = (Please show youranswer to 4 decimal places.)
- The p-value is Select an answer less than (or equal to) alphagreater than alpha ??
- Base on this, we should Select an answer accept the nullhypothesis fail to reject the null hypothesis reject the nullhypothesis hypothesis
- As such, the final conclusion is that...
- There is insufficient evidence to support the claim thatstation is a factor in the amount of time people watch thenews.
- There is sufficient evidence to support the claim that stationis a factor in the amount of time people watch the news.
