Question

# Based on past data, the producers of Ice Mountain bottled water knew that the proportion of...

Based on past data, the producers of Ice Mountain bottled water knew that the proportion of people who preferred Ice Mountain to tap water was 0.71. To see how consumer perception of their product changed, they decided to conduct a survey. Of the 134 respondents, 97 indicated that they preferred Ice Mountain to the tap water in their homes. The 90% confidence interval for this proportion is ( 0.6604 , 0.7874 ). What is the best conclusion of those listed below?

Question 4 options:

 1) The confidence interval does not provide enough information to form a conclusion.
 2) The proportion of consumers who prefer Ice Mountain is 0.71 with 90% confidence.
 3) We can not conclude that the proportion of consumers who prefer Ice Mountain to their tap water differs from 0.71.
 4) We can claim that the proportion of consumers who prefer Ice Mountain to their tap water is smaller than 0.71.
 5) We can claim that the proportion of consumers who prefer Ice Mountain to their tap water is larger than 0.71.

Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is different from 0.77, a claim you would like to test. If you conduct a hypothesis test, what will the null and alternative hypotheses be?

Question 5 options:

 1) HO: p > 0.77 HA: p ≤ 0.77
 2) HO: p = 0.77 HA: p ≠ 0.77
 3) HO: p ≠ 0.77 HA: p = 0.77
 4) HO: p ≥ 0.77 HA: p < 0.77
 5) HO: p ≤ 0.77 HA: p > 0.77

You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Obama is 0.69. However, you think it is less than 0.69. If you conduct a hypothesis test, what will the null and alternative hypotheses be?

Question 6 options:

 1) HO: p > 0.69 HA: p ≤ 0.69
 2) HO: p ≤ 0.69 HA: p > 0.69
 3) HO: p ≥ 0.69 HA: p < 0.69
 4) HO: p = 0.69 HA: p ≠ 0.69
 5) HO: p < 0.69 HA: p ≥ 0.69

As of 2012, the proportion of students who use a MacBook as their primary computer is 0.42. You believe that at your university the proportion is actually less than 0.42. The hypotheses for this test are Null Hypothesis: p ≥ 0.42, Alternative Hypothesis: p < 0.42. If you randomly select 23 students in a sample and 11 of them use a MacBook as their primary computer, what is your test statistic and p-value?

Question 7 options:

 1) Test Statistic: 0.566, P-Value: 0.286
 2) Test Statistic: 0.566, P-Value: 0.714
 3) Test Statistic: -0.566, P-Value: 0.714
 4) Test Statistic: 0.566, P-Value: 1.428
 5) Test Statistic: -0.566, P-Value: 0.286

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