MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

You wish to test the following claim at a significance level of α=0.005.

      H0:p=0.46 H1:p>0.46

You obtain a sample of size 497 in which there are 248 successful observations.

What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.)
Incorrect

What is the p-value for this sample? (Report answer accurate to 4 decimal places.)

You wish to test out the fairness of a coin at a significance level of α=0.10. You obtain a sample of size 476 in which there are 249 heads, leading you to believe that the proportion of heads is more than 0.5.

With hypotheses H0:p≤0.5 vs H1:p>0.5, what is/are the critical value(s)? (Report answer accurate to 2 decimal places.)



What is the test statistic for this sample? (Report answer accurate to 2 decimal places but do not round in the middle of your calculations.)


What is the p-value for this sample? (Report answer accurate to 4 decimal places.)


Our decision is to

  • reject the null
  • accept the null
  • fail to reject the null



As such, the final conclusion is that

  • there is sufficient evidence to conclude that the population proportion of heads is greater than 0.5.
  • there is not sufficient evidence to conclude that the population proportion of heads is greater than 0.5.
  • there is sufficient evidence to conclude that the population proportion of heads is equal to 0.5.
  • there is not sufficient evidence to conclude that the population proportion of heads is equal to 0.5.
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