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<h3><u>Explanation</u></h3>
- Given expression
- Factor the expression by using common factor.
We csn pull out 3x² out of the expression.
We simply pull out the x-term with lowest degree and 3 out of the expression. If another expression cannot be factored after first factoring then that's the final answer.
- The expression can still be factored. Factor the expression by using two brackets.
- New factored form
Answer:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
Step-by-step explanation:
On this case we need to apply a Chi squared goodness of fit test, and the correct system of hypothesis would be:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
And in order to test it we need to have observed and expected values. On this case we can calculate the Expected values like this
The observed values are not provided. The statistic on this case is given by:
And this statistic follows a chi square distribution with k-1 degrees of freedom on this case k=3, since we have 3 groups.
We can calculate the p valu like this:
And if the p value it's higher than the significance level we FAIL to reject the null hypothesis. In other case we reject the null hypothesis.