You are conducting a study to see if the probability of a true negative on a tes
ID: 3050039 • Letter: Y
Question
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.84. You use a significance level of =0.02=0.02.
H0:p=0.84H0:p=0.84
H1:p<0.84H1:p<0.84
You obtain a sample of size n=318n=318 in which there are 250 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)
greater than
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 less than 0.84.
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 less than 0.84.
The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.84.
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 less than 0.84.
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.84
HA : p < 0.84
Hypothesis test results:
Hence,
Test statistic = -2.619
P - value = 0.0044
The p - value is less than (or equal to)
Reject the null
Final conclusion: The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.84. Option C is correct.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 250 318 0.78616352 0.020558247 -2.6187291 0.0044Related Questions
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