applies to hypcthesis teats of the mean. For two-tailed hypnrhasi test with leve
ID: 3314119 • Letter: A
Question
applies to hypcthesis teats of the mean. For two-tailed hypnrhasi test with level of 5igniticance and null hYpothesis flo: pl-k, wereject , whenever k falls otsile the c-1 corridence interval ror based on the sample data. whcn k falls within thc c-1- confidence intarval, wc do nat rajact Ho A corresponding relationship between confidence intervals and two tailed hypothesis tests alo s valid for other parameters, such s oonfidence interal tor the parameter, we reject H0. For xample, consider a two-tailed hypothesis test with -0.01 and 1 2 or P1 P2 which we will study ater. Whenever the value of K given in the null hypothesis alls outs de he c 1 a 'ancom sample of size 31 has a sernple rnean K-22 rrom a population with standard deviation -4, (a) hat ls tha valua af c--? construct 1- contieneA interval tar tromthe sample data. (Round your answers to two decimal paras.) luwer limi upparlmit 20.29 60 what is the value of givan in tha null hypothasis (Le" what is m k-20 TA thi, value in the ooneidene interval? Do we reject or tail to reject Ho based on this intormation? we tall to reject the null hypothesis sin -20 is not contained in this interval. we fail tu reject the null hypothesis sine, = 20 is cun!dined in this interval. Wa raject tha null hypathass nce 20 is not contained in this interval We reject the null hypothesis since-20 i8contained in this interval fb Usng rmethods of thi chapter, finu th" p velue rur Ltle hypothesis lest. (Round your dnswer Lu fur ernal pleces.)Explanation / Answer
The statistical software output for this problem is:
One sample Z summary hypothesis test:
: Mean of population
H0 : = 20
HA : 20
Standard deviation = 4
Hypothesis test results:
99% confidence interval results:
Hence,
Lower limit = 20.15
Upper limit = 23.85
p - Value = 0.0054
Mean n Sample Mean Std. Err. Z-Stat P-value 31 22 0.71842121 2.7838822 0.0054Related Questions
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