tructure.com/courses/512463/quizzes/662421/take False Question 9 1 pts e draw a

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tructure.com/courses/512463/quizzes/662421/take False Question 9 1 pts e draw a random sample of Utah adults in 2017 and find that, on a scale of 0-100, their mean rating of President Trump is 542. We perform a standard +test served sample value against a possible expected true population value of 50. We calculate a Z-score of 2.3. Which of the following can we state? The mean rating in the population from which this sample was randomly drawn cannot be 50 The mean rating in the population from which this sample was randomly drawn can be 50, but we can comf dent yif or absolutely reject that as a possibility. O The mean rating in the population from which this sample was randomly drawn must be s42. The mean rating in the population from which this sample was randomly drawn cannot be 54 2 1 pts DQuestion 10 We draw a random sample of Florida adults in 2017 and find that, on a scale of 0-100, their mean rating of President Obama is 51.2. We perform a standard t-test and compare this observed sample value against a possible expected true population value of 50. We calculate a Z-score of 1.3 Which of the following can we state?

Explanation / Answer

For z = 2.3

P value is 0.0214

Which is significant at 5% level of significance ( as p value < 0.05)

But not significant at 1% level of significance (as p value < 0.01)

At 5% (with 95%) we can say that that mean rating in the population from which the sample is taken is different from 50

But 1% ( with 99% confidence) we cannot say that the mean ratings in the population from which the sample is taken is different from 50 .

So answer is

The mean rating in the population from which the sample was taken can be 50 , but can confidently ( with95% confidence) if not absolutely reject the possibility

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