A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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A random sample of 140 observations is selected from a binomial
population with unknown probability of success p. The computed value of p is 0.74.
(1) Test Ho: p = 0.65 against H₁ : p > 0.65. Use a = 0.01.
test statistic z =
critical z score
The final conclusion is
A. We can reject the null hypothesis that p
=
0.65 and accept that p > 0.65.
B. There is not sufficient evidence to reject the null hypothesis that p = 0.65.
(2) Test Ho: p = 0.65 against H₁ : p < 0.65. Use a = 0.01.
test statistic z =
critical z score
The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that p
B. We can reject the null hypothesis that p =
(3) Test Ho: p = 0.55 against Ha: p0.55. Use a = 0.01.
test statistic Z =
positive critical z score
negative critical z score
The final conclusion is
= 0.65.
0.65 and accept that p < 0.65.
A. We can reject the null hypothesis that p = 0.55 and accept that p = 0.55.
B. There is not sufficient evidence to reject the null hypothesis that p = 0.55.
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Transcribed Image Text:A random sample of 140 observations is selected from a binomial population with unknown probability of success p. The computed value of p is 0.74. (1) Test Ho: p = 0.65 against H₁ : p > 0.65. Use a = 0.01. test statistic z = critical z score The final conclusion is A. We can reject the null hypothesis that p = 0.65 and accept that p > 0.65. B. There is not sufficient evidence to reject the null hypothesis that p = 0.65. (2) Test Ho: p = 0.65 against H₁ : p < 0.65. Use a = 0.01. test statistic z = critical z score The final conclusion is A. There is not sufficient evidence to reject the null hypothesis that p B. We can reject the null hypothesis that p = (3) Test Ho: p = 0.55 against Ha: p0.55. Use a = 0.01. test statistic Z = positive critical z score negative critical z score The final conclusion is = 0.65. 0.65 and accept that p < 0.65. A. We can reject the null hypothesis that p = 0.55 and accept that p = 0.55. B. There is not sufficient evidence to reject the null hypothesis that p = 0.55.
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