Conduct a test at the alphaαequals=0.010.01 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume the samples were obtained independently from a large population using simple random sampling.   Test whether p 1 greater than p 2p1>p2. The sample data are x 1 equals 128x1=128​, n 1 equals 247n1=247​, x 2 equals 140x2=140​, and n 2 equals 311n2=311. ​(a) Choose the correct null and alternative hypotheses below.     A. Upper H 0 : p 1 equals p 2H0: p1=p2 versus Upper H 1 : p 1 less than p 2H1: p1p2   D. Upper H 0 : p 1 equals p 2H0: p1=p2 versus Upper H 1 : p 1 not equals p 2H1: p1≠p2 ​(b) Determine the test statistic.   z0equals=nothing ​(Round to two decimal places as​ needed.) ​(c) Determine the​ P-value.   The​ P-value is nothing . ​(Round to three decimal places as​ needed.) What is the result of this hypothesis​ test?     A. Do not rejectDo not reject the null hypothesis because there is notis not sufficient evidence to conclude that p 1 less than p 2p1p2.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.