Question

State whether the Standardized test statistic T indicates that you should reject the null hypothesis explain a)t=-2.146 b)t=2.014 c)t=2.128 d)t=-2.146

Answer 1

Answer:

$(a)\ t = -2.146$

The null hypothesis is rejected

$(b)\ t = 2.014$

The null hypothesis is accepted

$(c)\ t = 2.128$

The null hypothesis is accepted

$(d)\ t = -2.146$

The null hypothesis is rejected

Step-by-step explanation:

Given

[Missing from the question]

$\alpha = -1.001$ --- critical value

Left tailed test

Required

State what the standardized test statistics indicates

Since it is a left-tailed test, the null hypothesis will be rejected if the standardized test statistics less than or equal to the critical value

Using the above rule, we have:

$(a)\ t = -2.146$

Compare t and $\alpha$

$-2.146 < -1.001$

The null hypothesis is rejected

$(b)\ t = 2.014$

Compare t and $\alpha$

$2.014> -1.001$

The null hypothesis is accepted

$(c)\ t = 2.128$

Compare t and $\alpha$

$2.128> -1.001$

The null hypothesis is accepted

$(d)\ t = -2.146$

Compare t and $\alpha$

$-2.146 < -1.001$

The null hypothesis is rejected