Consider the hypotheses shown below. Given that $x = 116$, $s = 26$, $n = 49$, $? = 0.10$, complete parts a through c below.
$H_0: ? = 128$
$H_A: ? ? 128$
a. State the decision rule in terms of the critical value(s) of the test statistic.
Reject the null hypothesis if the calculated value of the test statistic, $z$, is greater than the critical value(s). Otherwise, do not reject the null hypothesis.
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
b. State the calculated value of the test statistic.
The test statistic is
(Round to two decimal places as needed.)
c. State the conclusion.
Because the test statistic is less than the critical value, do not reject the null hypothesis and conclude the population mean is equal to 128.