Consider the following null and alternative hypotheses: Ho:p = 0.85 versus H;: p + 0.85. Arandom sample of 575 observations taken from this population produced a sample proportion of 0.91. a. If this test is made at a 5% significance level, would you reject the null hypothesis? Use the critical-value approach. Round your answer for z to two decimal places. Zebserved Zaritical left = i Zaritical right" i We the null hypothesis. b. What is the probability of making a Type lerror in part a? P(Type l error) = c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if a = 0.04? What if a = 0.1? Round your answer for the p-value to four decimal places. p-value - i For a = 0.04, we Но- For a = 0.1, we v Họ.
Consider the following null and alternative hypotheses: Ho:p = 0.85 versus H;: p + 0.85. Arandom sample of 575 observations taken from this population produced a sample proportion of 0.91. a. If this test is made at a 5% significance level, would you reject the null hypothesis? Use the critical-value approach. Round your answer for z to two decimal places. Zebserved Zaritical left = i Zaritical right" i We the null hypothesis. b. What is the probability of making a Type lerror in part a? P(Type l error) = c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if a = 0.04? What if a = 0.1? Round your answer for the p-value to four decimal places. p-value - i For a = 0.04, we Но- For a = 0.1, we v Họ.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Consider the following null and alternative hypotheses:
Ho: p = 0.85 versus H;: p # 0.85.
Arandom sample of 575 observations taken from this population produced a sample proportion of 0.91.
a. If this test is made at a 5% significance level, would you reject the null hypothesis? Use the critical-value approach.
Round your answer for z to two decimal places.
Zobserved
Zaritical left
Zeritical right
We
the null hypothesis.
b. What is the probability of making a Type l error in part a?
P(Type l error) =
c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if a = 0.04? What if a = 0.1?
Round your answer for the p-value to four decimal places.
p-value =
For a = 0.04, we
v Họ.
For a = 0.1, we
Ho.
eTextbook an fail to reject
reject](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb3b9bba-00e1-4d71-97c7-f81f90965c27%2Ff280822f-4452-4b4d-b626-43c322f5ec74%2Fshcmagf_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following null and alternative hypotheses:
Ho: p = 0.85 versus H;: p # 0.85.
Arandom sample of 575 observations taken from this population produced a sample proportion of 0.91.
a. If this test is made at a 5% significance level, would you reject the null hypothesis? Use the critical-value approach.
Round your answer for z to two decimal places.
Zobserved
Zaritical left
Zeritical right
We
the null hypothesis.
b. What is the probability of making a Type l error in part a?
P(Type l error) =
c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if a = 0.04? What if a = 0.1?
Round your answer for the p-value to four decimal places.
p-value =
For a = 0.04, we
v Họ.
For a = 0.1, we
Ho.
eTextbook an fail to reject
reject
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