You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.83. You use a significance level of a = 0.001. Ho:p = 0.83 H₁:p> 0.83 You obtain a sample of size n = 446 in which there are 390 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... 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 negat on a test for a certain cancer is more than 0.83. O 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 more than 0.83. O The sample data support the claim that the probability of a true negative on a test for a certain cancer is more than 0.83. O There is not sufficient sample evidence to support the claim that the probability of a true negativ on a test for a certain cancer is more than 0.83.

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 16E
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You are conducting a study to see if the probability of a true negative on a test for a certain cancer is
significantly more than 0.83. You use a significance level of a = 0.001.
Ho: p = 0.83
ਦ
H₁:p> 0.83
You obtain a sample of size n = 446 in which there are 390 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...
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
O fail to reject the null
4
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 more than 0.83.
O 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 more than 0.83.
O The sample data support the claim that the probability of a true negative on a test for a certain
cancer is more than 0.83.
O 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 more than 0.83.
Transcribed Image Text:You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.83. You use a significance level of a = 0.001. Ho: p = 0.83 ਦ H₁:p> 0.83 You obtain a sample of size n = 446 in which there are 390 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... 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 O fail to reject the null 4 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 more than 0.83. O 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 more than 0.83. O The sample data support the claim that the probability of a true negative on a test for a certain cancer is more than 0.83. O 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 more than 0.83.
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