Question

IT x-, Student/Parent Dashboard | ? Exam 5 //primaverahs.strongmind.com/courses/2724/assignments/490663?module jitem jid-1341383 progress has been saved xA fair survey question is one that Question 14 of 30 A dendrologist (tree scientist wants to determine the abundance of a particular disease in a forest with mahogany trees, ficus trees, fig trees, wimba trees, and lupuna trees. The dendrologist estimates that the forest contains about 5000 trees from each species, but only fig trees are affected by the disease. He decides to sample 900 fig trees to determine disease prevalence. in order to obtain a confidence level of 95% with no more than a 3% margin of error, the dendrologist would need a sample of at least IblankAlL fig trees. Based on the information given in the problem, we can conclude that he Iblank BL a large enough sample to obtain the desired confidence level and margin of error Use the Reference Sheet for ascores and Sample Sizes to complete this question. Select two answer choices. Select the value, word, or phrase that correctly fills in each blank in the above paragraph. blank A: 880 blank B: gathered blank A: 965 blank A: 357 blank B: did not gather blank A: 1045 to sea

Answer 1

Margin of error is given $\text{Moe} =z_{\alpha /2}\sqrt {1 \over n}$ ​​​​​​

Where $z_{\alpha /2}$ is the critical value and for 95% confidence level $z_{\alpha /2}=1.96$ ​​​​​​.

Since margin of error must not exceed 3%=0.03, so

$1.96\sqrt {1 \over n} \leq 0.03\\ \Rightarrow \sqrt n \geq {1. 96\over0. 03}\\ \\\Rightarrow n\geq 4,268.44401$

So sample size must be at least 4269,

As there is no such option for balnk A. So appropriate answer is

Blank A: 1045,

As sample size of 900, was taken.. So for

Blank B : do no gather