State the null and alternative hypotheses for the situation described below for a statistical test. Your answer should be an expression composed of symbols: Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group 1 be the group of stores where customers are approached by salespeople and let group 2 be the group of stores where customers are not approached by salespeople.

Respuesta :

Null: mu1=mu2
Alternative: mu1>mu2

The null and alternative hypotheses for the situation described below for a statistical test are given as:

  • Null Hypothesis: [tex]H_0: \mu_1 = \mu_2[/tex]
  • Alternate Hypothesis: [tex]H_1: \mu_1 > \mu_2[/tex]

How to form the hypotheses?

There are two hypotheses. First one is called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

For the given case, it is clearly said that the test is being conducted for:

"Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't"

So null hypothesis will deny any difference in the average sales in both types of store, whereas alternate hypothesis will assume that the average sales are higher in stores where customers are approached by salespeople than in stores where they aren't.

Symbolically, we can write it as:

  • [tex]\mu_1[/tex] = sales done on first store where customers are approached by salespeople
  • [tex]\mu_2[/tex] = sales done on store where customers aren't approached by salespeople

Then, the hypotheses are:

  • Null Hypothesis: [tex]H_0: \mu_1 = \mu_2[/tex]
  • Alternate Hypothesis: [tex]H_1: \mu_1 > \mu_2[/tex]

Learn more about null and alternate hypothesis here:

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