Mathematics Homework Help

Pasadena City College Hypothesis Test Statistics Calculations

Student Learning Outcomes

The student will use and derive fundamental concepts from the given information

The student will develop a stronger understanding of calculations behind hypothesis testing.

The student will determine the unknown value by utilizing the acquired knowledge on hypothesis testing.
Introduction
Let’s assume a theoretical scenario. Let’s assume that we are asked to determine if a new plant treatment helps a certain species of plant to grow taller. We will only accept success if more than 50% of the treated plant grow taller. In this exercise it is irrelevant what the size of the plant is.

Ha: p>0.5p>0.5

H0: p=0.5p=0.5

We get that the p-value = 0.025

Question

Given that x = number of plants that grew taller, and in light of the above information find:

the number (x)(x) of plants that grew taller and

the success rate (p?)(p?) of plants that grew taller

Project Guidelines

Z-Test Statistic

p-value measures the area to the right of the test statistic. What is the z-value that has the given p-value?

Formula

Remember the calculation for the distance of the observed value to the null hypothesis.

z=p??pp?(1?p)n?z=p??pp?(1?p)n

Response

Submit your response by direct text entry OR by uploading a PDF of your work.

The submission should contain:

Evidence of the appropriate calculations that helped you derive the answer to the problem

Neatly organize your notes and evidence

provide the calculator/computer function that you used in order to determine your answers