Question

- The sample information ort Sample 1 Sample 2 less than the proport ny = 120 X1 = 40 n2 = 124 X2 = 55

Answer 1

i am using minitab to solve the problem.

steps :-

stat$1596215861418_blob.png$basic statistics $1596215861411_blob.png$2 proportion $1596215861538_blob.png$ select summarized data from the drop down menu $1596215861625_blob.png$in sample 1 type 40 in number of events , in number of trials type 120$1596215861706_blob.png$in sample 2 type 55 in number of events , in number of trials type 124$1596215861624_blob.png$ tick perform hypothesized test $1596215861635_blob.png$ options $1596215861662_blob.png$ in confidence level type 90$1596215861648_blob.png$in hypothesized difference type 0 $1596215861762_blob.png$ select the alternative hypothesis as difference < hypothesized difference $1596215861573_blob.png$ in method select use the pooled estimate of the proportion $1596215861776_blob.png$ok$1596215861655_blob.png$ok.

*** SOLUTION ***

a). z = -1.77

b). p-value = 0.039

c). Reject the null hypothesis. There is enough evidence to support the claim that the proportion of population 1 with the characteristics of interest is less than the proportion of population 1 with the characteristic of interest.

[ p value = 0.039 < 0.10 (alpha) ]

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