You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.72. You use a significance level of α=0.01. H0: p = 0.72 H1: p ≠ 0.72 You obtain a sample of size n=650 in which there are 435 successes. 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... 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 probability of a true negative on a test for a certain cancer is different from 0.72. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is different from 0.72. The sample data support the claim that the probability of a true negative on a test for a certain cancer is different from 0.72. There is not sufficient sample evidence to support the claim that the probability of a true negative on a test for a certain cancer is different from 0.72.
Added by Ronald P.
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Calculate the sample proportion (p-hat): p-hat = successes / sample size = 435 / 650 Show more…
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You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.7. You use a significance level of α=0.01α=0.01. H0:p=0.7H0:p=0.7 H1:p>0.7H1:p>0.7 You obtain a sample of size n=394n=394 in which there are 289 successes. 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... 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 probability of a true negative on a test for a certain cancer is more than 0.7. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is more than 0.7. The sample data support the claim that the probability of a true negative on a test for a certain cancer is more than 0.7. There is not sufficient sample evidence to support the claim that the probability of a true negative on a test for a certain cancer is more than 0.7.
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