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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

Sagot :

MrRoyal

Answer:

[tex](a)\ t = -2.146[/tex]

The null hypothesis is rejected

[tex](b)\ t = 2.014[/tex]

The null hypothesis is accepted

[tex](c)\ t = 2.128[/tex]

The null hypothesis is accepted

[tex](d)\ t = -2.146[/tex]

The null hypothesis is rejected

Step-by-step explanation:

Given

[Missing from the question]

[tex]\alpha = -1.001[/tex] --- 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:

[tex](a)\ t = -2.146[/tex]

Compare t and [tex]\alpha[/tex]

[tex]-2.146 < -1.001[/tex]

The null hypothesis is rejected

[tex](b)\ t = 2.014[/tex]

Compare t and [tex]\alpha[/tex]

[tex]2.014> -1.001[/tex]

The null hypothesis is accepted

[tex](c)\ t = 2.128[/tex]

Compare t and [tex]\alpha[/tex]

[tex]2.128> -1.001[/tex]

The null hypothesis is accepted

[tex](d)\ t = -2.146[/tex]

Compare t and [tex]\alpha[/tex]

[tex]-2.146 < -1.001[/tex]

The null hypothesis is rejected

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