You wish to test the following claim (Ha) at a significance level of a 0.05. = Ho: p = 0.26 Ha:p> 0.26 You obtain a sample of size n = 214 in which there are 65 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 65 successful observations O at least 65 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 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 0.26. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.26. O The sample data support the claim that the population proportion is greater than 0.26. O There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.26.
Question 15: You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.
Ho:p=0.26Ho:p=0.26
Ha:p>0.26Ha:p>0.26
You obtain a sample of size n=214n=214 in which there are 65 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the
The p-value for this test is (assuming HoHo is true) the probability of observing...
- at most 65 successful observations
- at least 65 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) αα
- greater than αα
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 population proportion is greater than 0.26.
- There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.26.
- The sample data support the claim that the population proportion is greater than 0.26.
- There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.26.
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