For this study, what type of test should we use? Your friend Adam helped you with the null and alternative hypotheses... H0: p1=p2=p2=p3=p4=p5=p6=16 H1: At least one of the proportions is different from the others. You drew 96 samples, and the observed frequencies are recorded below. Please complete the table using exact answer (e.g., whole numbers, fractions or decimals). 1) Number Rolled Observed Frequency Expected Frequency 1 11 2 7 3 13 4 23 5 17 6 25 2) The degree of freedom = The test statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) 3) As such, the final conclusion is that... Base on the sample data, there is sufficient evidence to conclude the claim that not all 6 categories are equally likely to be selected at the significant level of � = 0.01. Base on the sample data, there is not sufficient evidence to conclude the claim that not all 6 categories are equally likely to be selected at the significant level of � = 0.01.
Your statistics instructor would like to use a 6-side die (with each of its six faces showing a different number from 1 to 6) to choose the next quiz question. You suspect that the die is not fair, and one or more numbers show up more frequently than others, so you are conducting a multinomial Goodness-of-Fit hypothesis test for the claim that the 6-side die is not fair at the significant level of � = 0.01.
For this study, what type of test should we use?
Your friend Adam helped you with the null and alternative hypotheses...
H0: p1=p2=p2=p3=p4=p5=p6=16
H1: At least one of the proportions is different from the others.
You drew 96 samples, and the observed frequencies are recorded below. Please complete the table using exact answer (e.g., whole numbers, fractions or decimals).
1)
| Number Rolled |
Observed Frequency |
Expected Frequency |
|---|---|---|
| 1 | 11 | |
| 2 | 7 | |
| 3 | 13 | |
| 4 | 23 | |
| 5 | 17 | |
| 6 | 25 |
2) The degree of freedom =
The test statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
3) As such, the final conclusion is that...
- Base on the sample data, there is sufficient evidence to conclude the claim that not all 6 categories are equally likely to be selected at the significant level of � = 0.01.
- Base on the sample data, there is not sufficient evidence to conclude the claim that not all 6 categories are equally likely to be selected at the significant level of � = 0.01.
The statistical instructor uses a 6-sided die to choose the next quiz question.
The die has 6 possible outcomes each having prob. is .
Level of significance () = 0.01
No. of samples (n) = 128
The observed frequencies are,
| Number rolled | O |
| 1 | 11 |
| 2 | 7 |
| 3 | 13 |
| 4 | 23 |
| 5 | 17 |
| 6 | 25 |
| total | 96 |
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
