Question

In: Statistics and Probability

HW 45 4 You are conducting a study to see if the accuracy rate for fingerprint...

HW 45 4

You are conducting a study to see if the accuracy rate for fingerprint identification is significantly more than 0.9. You use a significance level of α=0.10α=0.10.

      H0:p=0.9H0:p=0.9
      HA:p>0.9HA:p>0.9

You obtain a sample of size n=618n=618 in which there are 567 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 hypothesis
  • accept the null hypothesis
  • fail to reject the null hypothesis



As such, the final conclusion is that...

  • There is sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is more than 0.9.
  • There is not sufficient evidence to warrant rejection of the claim that the accuracy rate for fingerprint identification is more than 0.9.
  • The sample data support the claim that the accuracy rate for fingerprint identification is more than 0.9.
  • There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is more than 0.9.

Solutions

Expert Solution

l


Related Solutions

You are conducting a study to see if the accuracy rate for fingerprint identification is significantly...
You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.87. You use a significance level of α = 0.02 . H 0 : p = 0.87 H 1 : p < 0.87 You obtain a sample of size n = 636 in which there are 542 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...
You are conducting a study to see if the accuracy rate for fingerprint identification is significantly...
You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.8. You use a significance level of α=0.002α=0.002.       H0:p=0.8H0:p=0.8       H1:p<0.8H1:p<0.8 You obtain a sample of size n=713n=713 in which there are 544 successes. What is the test statistic for this sample? test statistic = (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is......
You are conducting a study to see if the probability of a true negative on a...
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 0.88. Thus you are performing a two-tailed test. Your sample data produce the test statistic z = − 2.52 . Find the p-value accurate to 4 decimal places.
You are conducting a study to see if the probability of catching the flu this year...
You are conducting a study to see if the probability of catching the flu this year is significantly more than 0.13. You use a significance level of α=0.10α=0.10.       H0:p=0.13H0:p=0.13       H1:p>0.13H1:p>0.13 You obtain a sample of size n=692n=692 in which there are 103 successes. What is the test statistic for this sample? test statistic = (Report answer accurate to 3 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The...
You are conducting a study to see if the proportion of men over the age of...
You are conducting a study to see if the proportion of men over the age of 50 who regularly have their prostate examined is significantly less than 0.32. A random sample of 715 men over the age of 50 found that 196 have their prostate regularly examined. Do the sample data provide convincing evidence to support the claim? Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places. What are the correct...
You are conducting a study to see if the proportion of voters who prefer Candidate A...
You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 47%. With Ha : p > 47% you obtain a test statistic of z = 1.997. Find the p-value accurate to 4 decimal places. p-value = You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.62. Thus you are performing a left-tailed test. Your sample data produce the test statistic z...
You are conducting a study to see if the proportion of voters who prefer Candidate A...
You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.82. You use a significance level of α=0.10α=0.10.       H0:p=0.82H0:p=0.82       H1:p>0.82H1:p>0.82 You obtain a sample of size n=202n=202 in which there are 181 successes. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You are conducting a study to see if the proportion of voters who prefer the Democratic...
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 58% at a level of significance of α = 0.10. According to your sample, 43 out of 73 potential voters prefer the Democratic candidate. For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.)...
You are conducting a study to see if the proportion of voters who prefer the Democratic...
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 60% at a level of significance of α = 0.01. According to your sample, 48 out of 70 potential voters prefer the Democratic candidate. For this study, we should use The null and alternative hypotheses would be: Ho: (please enter a decimal) H1: (Please enter a decimal) The test statistic = (please show your answer to 3 decimal places.)...
You are conducting a study to see if the proportion of voters who prefer the Democratic...
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 54% at a level of significance of αα = 0.01. According to your sample, 51 out of 100 potential voters prefer the Democratic candidate. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: Ho: ? p μ  ? > ≠ = <   (please enter...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT