4. A random sample of n=1000 observations from a binomial population produced x = 279 a) If your research hypothesis is that p is less than 0.3, what should you choose for your alternative hypothesis? Your null hypothesis? b) What is the critical value that determines the rejection region for your test with a=0.05? c) Do the data provide sufficient evidence that pis less than 0.3? Use a 5% significant level.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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4. A random sample of n=1000 observations from a binomial population produced
x = 279
a) If your research hypothesis is that p is less than 0.3, what should you choose for
your alternative hypothesis? Your null hypothesis?
b) What is the critical value that determines the rejection region for your test with
a=0.05?
c) Do the data provide sufficient evidence that pis less than 0.3? Use a 5%
significant level.
Transcribed Image Text:4. A random sample of n=1000 observations from a binomial population produced x = 279 a) If your research hypothesis is that p is less than 0.3, what should you choose for your alternative hypothesis? Your null hypothesis? b) What is the critical value that determines the rejection region for your test with a=0.05? c) Do the data provide sufficient evidence that pis less than 0.3? Use a 5% significant level.
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ISBN:
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