10.6.7 Question Help * To test H0: p = 0.45 versus H 1 : p#0.45, a simple random
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10.6.7 Question Help * To test H0: p = 0.45 versus H 1 : p#0.45, a simple random sample of n = 400 individuals is obtained and x= 196 successes are observed. (a) What does it mean to make a Type Il error for this test? (b) If the researcher decides to test this hypothesis at the = 0.10 level of significance, compute the probability of making a Type II error, , if the true population proportion is 0.49. What is the power of the test? (c) Redo part (b) if the true population proportion is 0.47 (a) What does it mean to make a Type ll error for this test? Choose the correct answer below. 0 A. H0 is not rejected and the true proportion is not equal to 0.45. O B. Ho is not rejected and the true proportion is equal to 0.45. O c. Ho is rejected and the true proportion is equal to 0.45. 0 D. H0 is rejected and the true proportion is not equal to 0.45.Explanation / Answer
a) In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is incorrectly retaining a false null hypothesis (also known as a "false negative" finding).
A option is right
b) alpha = 0.10
Power of the test = 0.48
c) Power = 0.21
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