You wish to test the following claim (H) at a significance level of a = 0.002. Ho:p=0.6 Ha:p> 0.6 You obtain a sample of size n = 176 in which there are 117 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this test is (assuming H, is true) the probability of observing... O at most 117 successful observations at least 117 successful observations 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... There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.6. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.6. O The sample data support the claim that the population proportion is greater than 0.6. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.6

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 10E
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You wish to test the following claim (Ha) at a significance level of a = 0.002.
Ho: p= 0.6
Ha:p> 0.6
You obtain a sample of size n = 176 in which there are 117 successful observations. For this test, you
should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal
distribution as an approximation for the binomial distribution.)
The p-value for this test is (assuming Ho is true) the probability of observing...
at most 117 successful observations
at least 117 successful observations
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) a
Ogreater than a
This test statistic leads to a decision to...
O reject the null
O
accept the null
fail to reject the null
As such, the final conclusion is that...
There is sufficient evidence warrant rejection of the claim that the population proportion is
greater than 0.6.
There is not sufficient evidence to warrant rejection of the claim that the population proportion is
greater than 0.6.
The sample data support the claim that the population proportion is greater than 0.6.
There is not sufficient sample evidence to support the claim that the population proportion is
greater than 0.6.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho: p= 0.6 Ha:p> 0.6 You obtain a sample of size n = 176 in which there are 117 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this test is (assuming Ho is true) the probability of observing... at most 117 successful observations at least 117 successful observations 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) a Ogreater than a This test statistic leads to a decision to... O reject the null O accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence warrant rejection of the claim that the population proportion is greater than 0.6. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.6. The sample data support the claim that the population proportion is greater than 0.6. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.6.
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,