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 0.3. You believe that at your university the proportion is actually different from 0.3. The hypotheses for this scenario are Null Hypothesis: p = 0.3, Alternative Hypothesis: p 0.3. You conduct a random sample and run a hypothesis test yielding a p-value of 0.0223. What is the appropriate conclusion? Conclude at the 5% level of significance. Question 1 options: 1) The proportion of students that use a MacBook as their primary computer is equal to 0.3. 2) The proportion of students that use a MacBook as their primary computer is significantly different from 0.3. 3) The proportion of students that use a MacBook as their primary computer is significantly less than 0.3. 4) We did not find enough evidence to say a significant difference exists between the proportion of students that use a MacBook as their primary computer and 0.3 5) The proportion of students that use a MacBook as their primary computer is significantly larger than 0.3. Save

Explanation / Answer

The P value is 0.0223 which is less than alpha=0.05.

Thus reject the null hypothesis H0:p=0.3.

The test is statistically significant at 0.05 level of significance.

Thus the conclusion is:

2) The proportion of students that use a MacBook as their primary computer is significantly different from 0.3.

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