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In: Statistics and Probability

Determine the null and alternative hypothesis for the following situation. Write it out using proper notation,...

  1. Determine the null and alternative hypothesis for the following situation. Write it out using proper notation, and then explain what would happen in a type 1 and type 2 error.

A study claims that people, on average, watch just under 480 minutes (eight hours?!) of television per day (The Atlantic, 2018). Amazingly, you suspect that this value is too low, so you conduct a survey and calculate the average amount of TV time from your survey is 495 minutes.

  1. When hypothesis testing, what does the alpha value represent? Why is it significant?
  2. At Halloween in 2013, the average American consumed approximately 3.4 pounds of candy (couponfollower.com). You believe this value has since decreased with the rising popularity of Whole 30 and other fad diets. You sample 30 Americans, and find that they’ve eaten 2.9 pounds of candy this Halloween (a still exorbitant amount), with a sample standard deviation of 1.2 pounds. Determine the test statistic for this, and at the 5% significance level, determine if you should reject the null hypothesis.
  3. Since his inauguration until October 2018, President Trump’s approval rating has sat at approximately 41% (fivethirtyeight.com). In a survey of 500 Americans prior to the midterm elections, 230 people approve of the job the President is doing. At the 10% significance level, can we claim the President’s approval rating has changed since October?

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Expert Solution

At Halloween in 2013, the average American consumed approximately 3.4 pounds of candy (couponfollower.com). You believe this value has since decreased with the rising popularity of Whole 30 and other fad diets. You sample 30 Americans, and find that they’ve eaten 2.9 pounds of candy this Halloween (a still exorbitant amount), with a sample standard deviation of 1.2 pounds. Determine the test statistic for this, and at the 5% significance level, determine if you should reject the null hypothesis.

orchestra answered 2 years ago
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