The null and alternative hypotheses are given. Determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tailed. What parameter is being​ tested? Upper H 0​: sigma equals 7 Upper H 1​: sigma greater than 7

Respuesta :

Answer:

The hypothesis test is​ right-tailed and the parameter that is being​ tested is the population standard deviation ([tex]\sigma[/tex]).

Step-by-step explanation:

We are given with the following null and alternative hypothesis below;

Null Hypothesis, [tex]H_0[/tex] : [tex]\sigma[/tex] = 7

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\sigma[/tex] > 7

The parameter that is being tested here is the population standard deviation ([tex]\sigma[/tex]). So, the null hypothesis states that the population standard deviation is equal to 7 while on the other hand, the alternate hypothesis states that the population standard deviation is greater than 7.

The above hypothesis test is right-tailed because in the alternate hypothesis, greater than sign is there which means that if the test statistics will be more than the critical value, then the null hypothesis will be rejected.