800 randomly selected pine trees were tested for traces of the Bark Beetle infestation. It was found that 312 of the trees showed such traces. Test the hypothesis that the percentage of Tahoe trees that have been infested is significantly different than 30% at the 0.02 level of significance.

The null and alternative hypothesis would be:

The test is: two-tailed, right-tailed, left-tailed

The test statistic is:________________(to 2 decimals)

The p-value is:_____________________(to 4 decimals)

Based on this we:

• Reject the null hypothesis
• Fail to reject the null hypothesis