Consider the same statistical set-up as above. suppose we observe a data set consisting of 1000 observations as described in the following (format: i, number of observations of i): ini 0339 1455 2180 326 what is the value of the test statistic tn for this data set? give a numerical value with at least 4 decimals. (you are encouraged to use computational software.) tn = what is the p-value of this data set with respect to the test ψ1000? give a numerical value with at least 4 decimals. use this tool to find the tail probabilities of a x² distribution (you may also use any other software). if you are using this tool, note that you need to set "choose type of control" to "adjust x-axis quantile (chi square) value" to find the tail probability associated with an x-axis value for a chi- squared distribution with degrees of freedom set in the "degrees of freedom" box. p-value: if ψn is designed to have level 5%, would you reject or fail to reject on the given data set? a. reject c. fail to reject