A survey of 1000 students found that 274 chose professional baseball team A as their favorite team.

A survey of 1000 students found that 274 chose professional baseball team A as their favorite team. In a similar survey involving 760 students, 240 of them chose team A as their favorite. Compute a 95% confidence interval for the difference between the proportions of students favoring team A in the two surveys. Is there a significant difference?

Solutions

Expert Solution

Solution

p1=0.274

p2 = 0.316

n1=1000 n2 = 760

H0: p1 = p2

Ha: p1 not equals p2

Two tailed test for testing of proportions

--------------------------------------------------------------------------------------

Variance of sample I = pq/n1 =

0.000216

Variance of sample II =

0.000261742

Pooled std deviation = 0.0219

Z statistic can be used as sample size is large

Z = $\frac{p1-p2}{se} = \frac{-0.042}{0.0219} = -1.92$

As |Z| = 1.92 <=1.96 at 95% level, H0 is accepted.

That is there is no significant difference between the two popul ations.

SUN BUNRA answered 1 year ago

Next > < Previous

Related Solutions

Develop a list of expenses for a professional baseball team

9. The management of a professional baseball team is in the process of determining the budget...

9. The management of a professional baseball team is in the process of determining the budget for next year. A major component of future revenue is attendance at the home games. In order to predict attendance at home games the team statistician has used a multiple regression model with dummy variables. The model is of the form: y = 0 + 1x1+ 2x2 + 3x3 +  where: Y = attendance at a home game x1 = current power rating...

Luke tells Laura that his favorite baseball team, the Washington Nationals, is coming to town to...

Luke tells Laura that his favorite baseball team, the Washington Nationals, is coming to town to play the Chicago Cubs, and he will spend $75 a ticket if Laura will go to the game with him. Laura is excited, and she tells Luke that she will attend the game with him and that he can pick her up at her place around five o’clock the evening of the game. Luke also informs Laura that he will take her to dinner...

A professional baseball player signs a contract for $158 million to play with a team for...

A professional baseball player signs a contract for $158 million to play with a team for 7 years. He and his team agree that the contract will be spread out so that the player is paid beyond the 7 years. The payment plan for the contract is as follows: $19 million each year for years 1 through 7. $3.1 million each year for the next 8 years. $1.4 million each year for the next 8 years. You should assume that...

(Survey from 9.41: In a survey of 446 students, it was found that 50% of the...

(Survey from 9.41: In a survey of 446 students, it was found that 50% of the sampled students lived on campus and 50% lived off campus.) In the same survey used in 9.41, 88% of the sampled students were right-handed. a. The proportion of all people who are right-handed is said to be 0.88. Tell the value of standardized sample proportion z, if we want to test whether the proportion of all students who are right- handed could be 0.88....

2.5 7.In a survey of college students, each of the following was found. Of these students,...

2.5 7.In a survey of college students, each of the following was found. Of these students, 356356 owned a tablet, 294294 owned a laptop, 280280 owned a gaming system, 195195 owned a tablet and a laptop, 199199 owned a tablet and a gaming system, 137137 owned a laptop and a gaming system, 6868 owned a tablet, a laptop, and a gaming system, and 2626 owned none of these devices. Complete parts a) through e) below. a) How many college students...

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of...

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 159 like Snickers, 151 like Twix, 176 like Reese's Peanut Butter Cups, 90 like Snickers and Twix, 99 like Twix and Reese's Peanut Butter Cups, 108 like Snickers and Reese's Peanut Butter Cups, and 56 like all three kinds of chocolate candy. How many students like no more than one kind of these chocolate candies? a) 255 b) 315 c)...

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of...

A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 129 like Snickers, 118 like Twix, 145 like Reese's Peanut Butter Cups, 22 like Snickers and Twix, 54 like Twix and Reese's Peanut Butter Cups, 55 like Snickers and Reese's Peanut Butter Cups, and 8 like all three kinds of chocolate candy. How many students like Snickers, but not Twix or Reese's Peanut Butter Cups? a) 129 b) 69 c)...

The Trolley Dodgers In 1890, the Brooklyn Trolley Dodgers professional baseball team joined the National League....

The Trolley Dodgers In 1890, the Brooklyn Trolley Dodgers professional baseball team joined the National League. Over the following years, the Dodgers would have considerable difficulty competing with the other baseball teams in the New York City area. Those teams, principal among them the New York Yankees, were much better financed and generally stocked with players of higher caliber. After nearly seven decades of mostly frustration on and off the baseball field, the Dodgers shocked the sports world by moving...

In a sample of 1000 Yuba College students, it was found that they consumed on average...

In a sample of 1000 Yuba College students, it was found that they consumed on average 23 grams of sugar with a standard deviation of 4 grams and that 230 planned to transfer to Chico State. a) (7 points) Can we conclude with 99% confidence that Yuba College students consume on average over 20 grams of sugar? Use the rejection region approach. b) Can we conclude with 99% confidence that under 25% of Yuba College students plan to transfer...

Subjects