You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho: p = 0.78 Ha: p > 0.78 You obtain a sample of size n = 621 in which there are 508 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 508 successful observations at least 508 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 greater than a This test statistic leads to a decision to... O reject the null O accept the null fail to reject the null

MATLAB: An Introduction with Applications
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You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.005 \).

\[ H_0: p = 0.78 \]
\[ H_a: p > 0.78 \]

You obtain a sample of size \( n = 621 \) in which there are 508 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 \( H_0 \) is true) the probability of observing...
- \( \circ \) at most 508 successful observations
- \( \circ \) at least 508 successful observations

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = \[ \_\_\_\_\_\_\_\_\_ \]

The p-value is...
- \( \circ \) less than (or equal to) \( \alpha \)
- \( \circ \) greater than \( \alpha \)

This test statistic leads to a decision to...
- \( \circ \) reject the null
- \( \circ \) accept the null
- \( \circ \) fail to reject the null
Transcribed Image Text:You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.005 \). \[ H_0: p = 0.78 \] \[ H_a: p > 0.78 \] You obtain a sample of size \( n = 621 \) in which there are 508 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 \( H_0 \) is true) the probability of observing... - \( \circ \) at most 508 successful observations - \( \circ \) at least 508 successful observations What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = \[ \_\_\_\_\_\_\_\_\_ \] The p-value is... - \( \circ \) less than (or equal to) \( \alpha \) - \( \circ \) greater than \( \alpha \) This test statistic leads to a decision to... - \( \circ \) reject the null - \( \circ \) accept the null - \( \circ \) fail to reject the null
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