Question
Q1/ 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
Q1/
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 greater than 0.42. The hypotheses for this scenario are Null Hypothesis: p 0.42, Alternative Hypothesis: p > 0.42. You conduct a random sample and run a hypothesis test yielding a p-value of 0.0191. What is the appropriate conclusion? Conclude at the 5% level of significance.
| 1)The proportion of students that use a MacBook as their primary computer is significantly larger than 0.42
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| 2)The proportion of students that use a MacBook as their primary computer is less than or equal to 0.42.
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| 3)The proportion of students that use a MacBook as their primary computer is significantly less than 0.42.
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| 4)We did not find enough evidence to say the proportion of students that use a MacBook as their primary computer is larger than 0.42.
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| 5)The proportion of students that use a MacBook as their primary computer is significantly different from 0.42. |
Q2/
A student at a university wants to determine if the proportion of students that use iPhones is different from 0.48. The hypotheses for this scenario are as follows. Null Hypothesis: p = 0.48, Alternative Hypothesis: p 0.48. If the student takes a random sample of students and calculates a p-value of 0.0277 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
| 1)The proportion of students that use iPhones is equal to 0.48. 2) The proportion of students that use iPhones is significantly larger than 0.48.
3) The proportion of students that use iPhones is significantly different from 0.48.
4) The proportion of students that use iPhones is significantly less than 0.48.
5) We did not find enough evidence to say a significant difference exists between the proportion of students that use iPhones and 0.48
Q3/ You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Obama is 0.33. However, you think it is less than 0.33. If you conduct a hypothesis test, what will the null and alternative hypotheses be?
1) HO: p = 0.33 HA: p 0.33
2) HO: p > 0.33 HA: p 0.33
3) HO: p 0.33 HA: p > 0.33
4) HO: p < 0.33 HA: p 0.33
5) HO: p 0.33 HA: p < 0.33
Q4/ A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.66, but given the number of people you've talked to about this same issue, you believe it is different from 0.66. If you conduct a hypothesis test, what will the null and alternative hypotheses be?
1) HO: p 0.66 HA: p > 0.66
2) HO: p 0.66 HA: p < 0.66
3) HO: p 0.66 HA: p = 0.66
4) HO: p > 0.66 HA: p 0.66
5) HO: p = 0.66 HA: p 0.66
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Q5/
our friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is less than 0.72, a claim you would like to test. The hypotheses for this test are Null Hypothesis: p 0.72, Alternative Hypothesis: p < 0.72. If you randomly sample 25 players and determine that 16 of them have a batting average higher than .300, what is the test statistic and p-value?
1) Test Statistic: -0.891, P-Value: 0.814
2) Test Statistic: -0.891, P-Value: 0.372
3) Test Statistic: 0.891, P-Value: 0.186
4) Test Statistic: -0.891, P-Value: 0.186
5) Test Statistic: 0.891, P-Value: 0.814
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