You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.27. You use a significance level of α=0.001. H0:p=0.27H0:p=0.27 H1:p≠0.27H1:p≠0.27 You obtain a sample of size n=406n=406 in which there are 97 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is different from 0.27. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is different from 0.27. The sample data support the claim that the probability of a true negative on a test for a certain cancer is different from 0.27. There is not sufficient sample evidence to support the claim that the probability of a true negative on a test for a certain cancer is different from 0.27.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.27. You use a significance level of α=0.001.

H0:p=0.27H0:p=0.27
H1:p≠0.27H1:p≠0.27

You obtain a sample of size n=406n=406 in which there are 97 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to) αα
greater than αα

This test statistic leads to a decision to...

reject the null
accept the null
fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is different from 0.27.
There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is different from 0.27.
The sample data support the claim that the probability of a true negative on a test for a certain cancer is different from 0.27.
There is not sufficient sample evidence to support the claim that the probability of a true negative on a test for a certain cancer is different from 0.27.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Proportions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions