Aurora is conducting a one-sample ? test of the null hypothesis ?0:?=0.14H0:p=0.14 against the alternative ??:?<0.14Ha:p<0.14, where ?p is the population proportion. She requires her results to be statistically significant at a level of ?=0.01α=0.01.   She selects a random sample of size ?n = 300 and calculates the sample proportion, ?̂  = 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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Aurora is conducting a one-sample ? test of the null hypothesis ?0:?=0.14H0:p=0.14 against the alternative ??:?<0.14Ha:p<0.14, where ?p is the population proportion. She requires her results to be statistically significant at a level of ?=0.01α=0.01.

 

She selects a random sample of size ?n = 300 and calculates the sample proportion, ?̂  = 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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