Question

A study was performed in 2019 to determine the percentage of pine trees infested by insects. The researchers suspected that the percentage of pine trees infested was above 10%. After randomly selecting 1500 pine trees, the researchers determined that 168 of the pine trees tested positive for insect infestation. At the 0.05 significance level, test the claim that more than 10% of all pine trees are infected by insects. state claim in words-Express the claim mathematically-what is the null hypothesis-what is the alternative hypothesis-a=-what is the sample proportion p=-which test procedure is appropriate to proform the required hypothesis test?-what is the test statistics-what is the P value?-should you reject null hypothesis or fail to reject null hypothesis -State your conclusion in words

Answer 1

Claim =

$\frac{168}{1500}>\text{ }0.10$

Null hypothesis = the percentage of pine trees infested is below 10%

Alternative hypothesis = the percentage of pine trees infested is above 10%

$\begin{gathered} Sampleproportion=\frac{observedevents}{samplesize} \\ p=\frac{168}{1500}=0.112 \end{gathered}$