Question

(AP Statistics) A random sample of students at Spectrum University was asked to estimate the average number of minutes they spent on social media per day and their grade point average (GPA). The data are shown in the table.------Minutes Spent on Social Media35586164727579101115Grade Point Average3.93.63.553.53.23.532.82.5------A researcher wants to determine whether there is a relationship between the number of minutes spent on social media each day and GPA. What are the appropriate testing hypotheses?A: H0: β = 0, Ha: β > 0B: H0: β = 0, Ha: β < 0C: H0: β = 0, Ha: β ≠ 0D: H0: β ≠ 0, Ha: β > 0E: H0: β ≠ 0, Ha: β < 0

Answer 1

Concept:

Hypothesis testing is used to assess the plausibility of a hypothesis by using sample data. The test provides evidence concerning the plausibility of the hypothesis, given the data. Statistical analysts test a hypothesis by measuring and examining a random sample of the population being analyzed.

What is hypothesis testing?

Hypothesis testing simply means an act in statistics whereby an analyst tests an assumption regarding a population parameter.

In this case, from the complete question, the hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is H.o: B = 0, Ha: B ≠ 0.

This is essential to provide evidence concerning the plausibility of the hypothesis with the data given.

Hence,

The appropriate testing hypotheses to determine whether there is a relationship between the number of minutes spent on social media each day and GPA is c H.o: B = 0, Ha: B ≠ 0.

Hence,

OPTION C is the final answer