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1. The article, Younger Adults More Likely Than Their Elders to Prefer Reading the News (October 2016, Pew Research Center) estimated that only 4% of

1. The article, "Younger Adults More Likely Than Their Elders to Prefer Reading the News" (October 2016, Pew Research Center) estimated that only 4% of those age 65 and older, who prefer to watch the news, watch the news online. Consider the population consisting of all adult Americans 65 and older who prefer to watch the news and suppose that for this population the actual proportion who prefer to watch online is 0.04 or 4%.

A random sample of n=200 people was selected from this population and the proportion of people who prefer to watch online will be calculated.

What is the mean _______ and standard deviation ________ of the sampling distribution? Round to 3 decimal places.

Suppose the sample size is increased to n=400 from the same population. Does this change the value of the mean _________ or standard deviation ________? Answer questions with yes or no.

2. According to a large online retailer, the proportion of customers making a purchase during the month of July was satisfied with the online ordering process 91% of the time. They have reason to believe the proportion of customers making a purchase during the month of December who is satisfied with the online ordering process is lower than 91%. What is the minimum sample size required to meet the requirements for this test? Round to the whole number.

Multiple Choice

3. A statistics student is interested in becoming a professor and wants to know if more professors have a PhD or a Master's degree. We tested the claim that there are more PhD's than Master's degrees. In a random sample of 392 University faculty members we found 29% of professors have a Master's degree. The p-value is 0.0001. Interpret the meaning of the p-value in this context.

  • The p-value is small so we accept the Ha.
  • The probability of the proportion of professors with a PhD is 29%
  • The probability of getting a sample proportion of 29% is .01% if the population proportion of professors with a PhD is 50%.
  • There is a .01% chance of the true population proportion being 29%

4. Administrators in the travel industry want to know the proportion of adults that travel in the air that admit to yelling at a complete stranger. They plan to test the hypothesis Ho: p = 0.35 and Ha: p > 0.35. What would be the type II error for this test?

  • Type II error would be claiming more than 35% yell at complete strangers when more than 35% yell at complete strangers
  • Type II error would be claiming 35% yell at strangers when more than 35% yell at strangers
  • Type II error would be claiming more than 35% yell at strangers when 35% yell at strangers
  • Type II error would be claiming 35% yell at strangers when 35% yell at strangers

5. In the 2019 Car Model Details Report, it was reported that 47% of customers purchased an SUV. A representative sample of 8060 customers found a statistically significant higher proportion of customers who purchased an SUV. Interpret these results in regard to the practical significance and sample size.

6. USA TODAY reported that 840 Americans out of a randomly selected sample of 1000 Americans prefer cheese on their burgers (USA TODAY, September 7, 2016). Calculate the point estimate p-hat (p^) of the proportion of Americans that prefer cheese on their burgers. Round to 2 decimal places.

7. In 2006, a Green New Deal was created by the Green New Deal Task Force as a plan for one hundred percent clean, renewable energy by 2030 utilizing a carbon tax, a jobs guarantee, free college, single-payer healthcare, and a focus on using public programs. The goal of the Green New Deal is to reduce greenhouse gas emissions in order to avoid the worst consequences of climate change while also trying to fix societal problems like economic inequality and racial injustice. Using the 'Car Details 2019' estimate the proportion of cars with an electric engine, using = 0.10. Finish the question even if conditions are not met.

Identify observational unit Identify the response variable Classify response variable as quantitative or categorical

Name of test used State confidence level Verify conditions are met Find the point estimate Find the standard error Construct the confidence interval Conclusion in non-statistical terms

8. Each semester I ask my students if they have taken a leadership class. In the past, the proportion of students that have taken a leadership class from Norco College has been 25%. Using the 'Kahoot Data Spring 2021' determine if the proportion of students that have taken a leadership class is higher in Spring 2021 at Norco College. Use = 0.02. Finish the question even if conditions are not met.

Identify observational unit Identify the response variable Classify response variable as quantitative or categorical State hypotheses Verify alpha level Verify conditions are met Name of the hypothesis test used Identify the P-value State decision Conclusion in non-statistical terms

9. In the past, claims have been made that children with separated parents are less likely to pass their classes than children whose parents are together. Using the data set 'US Students Consolidated' determine if children with separated parents pass their classes less than children with parents together in high school. Use = 0.10. Finish the question even if conditions are not met.

Identify observational unit Identify the response variable Classify response variable as quantitative or categorical State hypotheses Verify alpha level Verify conditions are met Name of the hypothesis test used Identify the P-value State decision Conclusion in non-statistical terms

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