A claim is made that a 6-sided die is loaded. (That is, the claim is that the die is NOT equally likely to land on each of its six numbered sides.) A random sample is obtained by tossing this die 180 times & the results are below.
Result | one | two | three | four | five | six |
---|---|---|---|---|---|---|
Frequency | 35 | 26 | 38 | 22 | 30 |
29 |
Test the claim at the 0.025 significance level using the critical value method, and state your conclusion in casual terms.
1. The null and alternative hypotheses with the claim identified as one of them
2. The value of ?
3. The test statistic
4. The critical value(s)
5. The decision of your test, including quick rationale using the CV (critical-value) method
6. The conclusion of your test, stated in nontechnical language