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 0.86. You use a significance level of a = 0.05. Ho: p=0.86 H₁: p/0.86 You obtain a sample of size n = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 367 in which there are 304 successes. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value= The p-value is... O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... O reject the null O accept the null Ofail 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 0.86. There is not sufficient evidence to warrant rejection of the claim that the probability of a true

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 44E
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17
g
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 0.86. You use a significance level of a = 0.05.
Ho: p=0.86
H₁: p0.86
You obtain a sample of size n
=
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...
4
C
O less than (or equal to) a
O greater than a
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
$
As such, the final conclusion is that....
O 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 0.86.
There is not sufficient evidence to warrant rejection of the claim that the probability of a true
r
367 in which there are 304 successes.
%
5
t
9
A
6
Oll
y
DELL
&
7
O
j
*
8
O
Nov 26
8:56
Transcribed Image Text:17 g 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 0.86. You use a significance level of a = 0.05. Ho: p=0.86 H₁: p0.86 You obtain a sample of size n = 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... 4 C O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null $ As such, the final conclusion is that.... O 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 0.86. There is not sufficient evidence to warrant rejection of the claim that the probability of a true r 367 in which there are 304 successes. % 5 t 9 A 6 Oll y DELL & 7 O j * 8 O Nov 26 8:56
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