A poll of 2514 U.S. adults found that 41% regularly used Facebook as a news source.

Find the margin of error and confidence interval for the percentage of U.S. adults who regularly use Facebook as a news source, at the 90% level of confidence. Round all answers to 2 decimal places.

Margin of Error (as a percentage):

Confidence Interval:

Find the margin of error and confidence interval for the percentage of U.S. adults who regularly use Facebook as a news source, at the 95% level of confidence. Round all answers to 2 decimal places.

Margin of Error (as a percentage):

Confidence Interval:

Find the margin of error and confidence interval for the percentage of U.S. adults who regularly use Facebook as a news source, at the 99% level of confidence. Round all answers to 2 decimal places

Margin of Error (as a per

A genetic experiment with peas resulted in one sample of offspring that consisted of

408

green peas and

162

yellow peas.a. Construct a

95​%

confidence interval to estimate of the percentage of yellow peas.

b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

a. Construct a

95​%

confidence interval. Express the percentages in decimal form.

nothing<p<nothing

​(Round to three decimal places as​ needed.)

b. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

​Yes, the confidence interval does not include​ 0.25, so the true percentage could not equal​ 25%

​No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

-A genetic experiment with peas resulted in one sample of offspring that consisted of 434 green peas and 162 yellow peas.

a. Construct a 90​% confidence interval to estimate of the percentage of yellow peas.

b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

c. Construct a 90​% confidence interval. Express the percentages in decimal form.
____<p<_____ ​(Round to three decimal places as​ needed.)

d. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?

-​No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%
​-Yes, the confidence interval does not include​ 0.25, so the true percentage could not equal​ 25%

Laurel, Inc., and Hardy Corp. both have 8 percent coupon bonds outstanding, with semiannual interest payments, and both are currently priced at the par value of $1,000. The Laurel, Inc., bond has six years to maturity, whereas the Hardy Corp. bond has 15 years to maturity. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of each bond? (Do not round intermediate calculations. A negative answer should be indicated by a minus sign. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Percentage change in price of Laurel, Inc., bond %

Percentage change in price of Hardy Corp. bond %

If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of each bond? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Percentage change in price of Laurel, Inc., bond %

Percentage change in price of Hardy Corp. bond %

The contingency table below shows the results of a survey of video viewing habits by age.

Find the following probabilities or percentages:

(a) Probability that a viewer is aged 18–34. (Round your answer to 2 decimal places.)

Probability           

(b) Probability that a viewer prefers watching videos on a TV screen. (Round your answer to 2 decimal places.)

Probability           

(c) Percentage of viewers who are 18–34 and prefer videos on a mobile or laptop device.

Percentage of viewers            %

(d) Percentage of viewers aged 18–34 who prefer videos on a mobile or laptop device. (Round your answer to 2 decimal places.)

Percentage of viewers            %

(e) Percentage of viewers who are 35–54 or prefer videos on a mobile or laptop device.

Percentage of viewers            %

The contingency table below shows the results of a survey of video viewing habits by age.

Find the following probabilities or percentages:

(a) Probability that a viewer is aged 18–34. (Round your answer to 2 decimal places.)

Probability            

(b) Probability that a viewer prefers watching videos on a TV screen. (Round your answer to 2 decimal places.)

c) Percentage of viewers who are 18–34 and prefer videos on a mobile or laptop device.

Percentage of viewers             %

(d) Percentage of viewers given they are 18–34 who prefer videos on a mobile or laptop device. (Round your answer to 2 decimal places.)

Percentage of viewers             %

(e) Percentage of viewers who are 35–54 or prefer videos on a mobile or laptop device.

Percentage of viewers             %

Probability            

The contingency table below shows the results of a survey of video viewing habits by age. Video Viewing Platform Preferred Viewer Age Mobile/Laptop Device TV Screen Row Total 18–34 34 34 68 35–54 12 12 24 55+ 2 6 8 Column Total 48 52 100 Find the following probabilities or percentages: (a) Probability that a viewer is aged 18–34. (Round your answer to 2 decimal places.) Probability (b) Probability that a viewer prefers watching videos on a TV screen. (Round your answer to 2 decimal places.) Probability (c) Percentage of viewers who are 18–34 and prefer videos on a mobile or laptop device. Percentage of viewers % (d) Percentage of viewers given they are 18–34 who prefer videos on a mobile or laptop device. (Round your answer to 2 decimal places.) Percentage of viewers % (e) Percentage of viewers who are 35–54 or prefer videos on a mobile or laptop device. Percentage of viewers %

Laurel, Inc., and Hardy Corp. both have 7 percent coupon bonds outstanding, with semiannual interest payments, and both are currently priced at the par value of $1,000. The Laurel, Inc., bond has six years to maturity, whereas the Hardy Corp. bond has 19 years to maturity.

If interest rates suddenly rise by 2 percent, what is the percentage change in the price of each bond? (Do not round intermediate calculations. A negative answer should be indicated by a minus sign. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of each bond? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Laurel, Inc., and Hardy Corp. both have 7 percent coupon bonds outstanding, with semiannual interest payments, and both are currently priced at the par value of $1,000. The Laurel, Inc., bond has five years to maturity, whereas the Hardy Corp. bond has 20 years to maturity.

If interest rates suddenly rise by 2 percent, what is the percentage change in the price of each bond? (Do not round intermediate calculations. A negative answer should be indicated by a minus sign. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of each bond? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

Hw 28 #2

A recent poll of 2500 randomly selected 18-25-year-olds revealed that 290 currently use marijuana or hashish. According to a publication, 12.5 % of 18-25-year-olds were current users of marijuana or hashish in 1997. Do the data provide sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5 %? Use α=0.01 significance level.

test statistic z=

positive critical z score=

negative critical z score=

The final conclusion is

A. There is sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5 12.5 %.

B. There is not sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.5 12.5 %.