As of 2012, the proportion of students who use a MacBook as their primary comput

Question

As of 2012, the proportion of students who use a MacBook as their primary computer is 0.44. You believe that at your university the proportion is actually less than 0.44. The hypotheses for this scenario are Null Hypothesis: p 0.44, Alternative Hypothesis: p < 0.44. You conduct a random sample and run a hypothesis test yielding a p-value of 0.0107. What is the appropriate conclusion? Conclude at the 5% level of significance.

1)

2)

3)

4)

5)

1)

The proportion of students that use a MacBook as their primary computer is significantly larger than 0.44.

2)

We did not find enough evidence to say the proportion of students that use a MacBook as their primary computer is less than 0.44.

3)

The proportion of students that use a MacBook as their primary computer is greater than or equal to 0.44.

4)

The proportion of students that use a MacBook as their primary computer is significantly different from 0.44.

5)

The proportion of students that use a MacBook as their primary computer is significantly less than 0.44.

Explanation / Answer

Here , p-value(0.0107) is less than 0.05. Therefore reject the null hypothesis.

Therefore Option no 5 is the rigth answer.

The proportion of students tha use a MacBook as their primary computer is significantly less than 0.44

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