You wish to test the following at a significance level of α=0.05α=0.05. H0:p=0.41H0:p=0.41 H1:p>0.41H1:p>0.41You obtain a sample of size n=567n=567 in which there are 257 successful observations.For this test, we use the normal distribution as an approximation for the binomial distribution.For this sample...The test statistic (zz) for the data = (Please show your answer to three decimal places.)The p-value for the sample = (Please show your answer to four decimal places.)The p-value is...greater than ααless than (or equal to) αα(Recall that when p(-value) is low, the null must go; when p(-value) is high, the null must fly)Base on this, we should ....accept the null hypothesisreject the null hypothesisfail to reject the null hypothesisAs such, the final conclusion is that...The sample data suggest that the population proportion is significantly greater than 0.41 at the significant level of αα = 0.05.The sample data suggest that the population proportion is not significantly greater than 0.41 at the significant level of αα = 0.05

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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

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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You wish to test the following at a significance level of α=0.05α=0.05.

H0:p=0.41H0:p=0.41
H1:p>0.41H1:p>0.41

You obtain a sample of size n=567n=567 in which there are 257 successful observations.

For this test, we use the normal distribution as an approximation for the binomial distribution.

For this sample...

The test statistic (zz) for the data = (Please show your answer to three decimal places.)
The p-value for the sample = (Please show your answer to four decimal places.)
The p-value is...
- greater than αα
- less than (or equal to) αα
(Recall that when p(-value) is low, the null must go; when p(-value) is high, the null must fly)
Base on this, we should ....
- accept the null hypothesis
- reject the null hypothesis
- fail to reject the null hypothesis
As such, the final conclusion is that...
- The sample data suggest that the population proportion is significantly greater than 0.41 at the significant level of αα = 0.05.
- The sample data suggest that the population proportion is not significantly greater than 0.41 at the significant level of αα = 0.05

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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