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bogdanovich [222]
2 years ago
11

A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev

aluations by students are related to salaries. To this end, he collected 100 observations on:y = Annual salary (in dollars)x = Mean score on teaching evaluationTo accomplish his goal, he assumes the following relationship:y = β(0) + β(1)x + ε Then, using Data Analysis, he obtained the following result.R2=0.23 Coefficient Standard Error Intercept 25675.5 11393x 5321 2119Required:What are the null and alternative hypotheses, respectively?

Mathematics
1 answer:
uysha [10]2 years ago
6 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is  H_o :  \beta_1 = 0

 The alternative hypothesis is  H_1 :  \beta_1 \ne 1

Step-by-step explanation:

From the question we are told that

        The number observations is  n =  100

         The  annual salary (in dollars) is  y

          The  mean score on teaching evaluation is  x

          The the relationship between the y and  x is

                y =  \beta_0  +  \beta _1 x + \epsilon

Where  \beta _1 is the mean of the equation so

  The null hypothesis is  H_o :  \beta_1 = 0

   The alternative hypothesis is  H_1 :  \beta_1 \ne 1

         

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