Researchers are planning a study to estimate the impact on crop yield when no-till is used in combination with residue retention and crop rotation. based on data from a meta-analysis of 610 small farms, the researchers estimate there is a 2.5% decline in crop yield when no-til is used with residue retention and crop rotation. suppose the researchers want to produce a 90% confidence interval with a margin of error of no more than 7.0%. determine the minimum sample size required for this study. the sample size needed to create a confidence interval estimate depends on the margin of error, the initial estimated proportion, and the confidence level. be sure to use proportions rather than percentages. round your final answer up to the nearest whole number. n= comparisons

n= 14

Step-by-step explanation:

The formula to find the sample size :_

, where p= Prior estimate of population proportion.

z* =  Critical value.

E= Margin of error.

Given : Prior estimate of population proportion : p= 0.025

We know that  , the critical value for 90% confidence interval :

E= 7.0%=0.070

Then , the required minimum sample size :

i.e. n= 14

Hence, the sample size needed : n= 14

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.