Consider the following hypotheses:

$H_0$:$=5,000$

$H_A$:$5,000$

The population is normally distributed with a population standard deviation of $690.$ Compute the value of the test statistic and the resulting $p-$value for each of the following sample results. For each sample, determine if you can "reject$/$do not reject" the null hypothesis at the $10\%$ significance level. $($You may find it useful to reference the appropriate table: $z$ table or $t$ table.$)($Negative values should be indicated by a minus sign. Round test statistic to $2$ decimal places and $p-$value to $4$ decimal places.$)$

$\backslash$table$[[,,$Test statistic,p$-$value,$],[$a$.,=5,160$;$n=115,,,],[$b$.,=5,160$;$n=215,,,],[$c$.,=4,700$;$n=42,,,],[$d$.,=4,780$;$n=42,,,]]$