Aurora is conducting a one-sample z test of the null hypothesis H0:p=0.14 against the alternative Ha:p<0.14, where p is the population proportion. She requires her results to be statistically significant at a level of α=0.01.   She selects a random sample of size n = 300 and calculates the sample proportion, p^ = 0.11. What is the value of the standardized test statistic and P-value of her test? Give z precise to two decimal places and the P-value precise to four decimal places.

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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Aurora is conducting a one-sample z test of the null hypothesis H0:p=0.14 against the alternative Ha:p<0.14, where p is the population proportion. She requires her results to be statistically significant at a level of α=0.01.

 

She selects a random sample of size n = 300 and calculates the sample proportion, p^ = 0.11. What is the value of the standardized test statistic and P-value of her test?


Give z precise to two decimal places and the P-value precise to four decimal places.

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