You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho:p = 0.55 Ha:p> 0.55 You obtain a sample of size n = 131 in which there are 79 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. 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 As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.55. O There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.55. The sample data support the claim that the population proportion is greater than 0.55. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.55.

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 (H) at a significance level of a = 0.005.
Ho:p = 0.55
Ha:p> 0.55
You obtain a sample of size n = 131 in which there are 79 successful observations. For this test, you
should NOT use the continuity correction, and you should use the normal distribution as an approximation
for the binomial distribution.
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 population proportion is
greater than 0.55.
O There is not sufficient evidence to warrant rejection of the claim that the population proportion is
greater than 0.55.
The sample data support the claim that the population proportion is greater than 0.55.
There is not sufficient sample evidence to support the claim that the population proportion is
greater than 0.55.
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.005. Ho:p = 0.55 Ha:p> 0.55 You obtain a sample of size n = 131 in which there are 79 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. 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 population proportion is greater than 0.55. O There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.55. The sample data support the claim that the population proportion is greater than 0.55. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.55.
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