![lorenaandreahjimenez](/avatars/25866.jpg)
lorenaandreahjimenez
26.03.2020 •
Mathematics
There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious apples, 48 had blemishes. In a random sample of 75 of the red delicious apples, 42 had blemishes. Assume all conditions for inference have been met. Which of the following is closest to the interval estimate of the difference in the numbers of apples with blemishes (golden delicious minus red delicious) at a 98 percent level of confidence?A. (–0.076,0.236)
B. (–0.105,0.265)
C. (–10.5,26.5)
D. (–76,236)
E. (−105,265)
Solved
Show answers
More tips
- C Computers and Internet What is a URL? Everything You Need to Know About URL Addresses...
- C Computers and Internet Why is Yandex s robot Bless.yandex.ru Important?...
- F Food and Cooking Fresh and Easy Lemonade in 10 Minutes...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- A Animals and plants How to Grow Lime from a Seed: Simple Tips and Interesting Facts...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
Answers on questions: Mathematics
- M Mathematics Find the midpoint of the segment with the following endpoints. (-5,5) and (-10,2)...
- M Mathematics . What is the interval of increasing and decreasing for 2x+3y=6?...
- M Mathematics Remainder 20 ) 740 please I’m failing math...
- M Mathematics Help please! Thank you...
- M Mathematics b. What would be the new account balance in five years at a 5.12% if the interest was compounded monthly?...
- M Mathematics Solve the equation 5-4x=6+2x...
- M Mathematics Factor 32x3 – 32x2 + 8x by first finding the GCF, then factor the quadratic that is left. Be sure to factor completely and show your work. If this is not possible...
- M Mathematics What must the values of x and y be so that the two houses are similar? P120 120 P120 120 12 10 30 x = 4, y = 2 x = 12, y = 6 x = 32, y = 26 x = 36, y = 18...
- M Mathematics Mr. Anderson had 185 pieces of wood. He sold 25 pieces of wood to his neighbor and stacked the rest of the wood into piles around his house. Each pile of wood contained...
- M Mathematics Jenny earned a gross income of $35000 last year. She paid $1550 in student loan interest, donated $1000 to charity, and paid $1275 in home mortgage interest. She...
Ответ:
E. (−105,265)
Step-by-step explanation:
The confidence interval for the difference between 2 population proportions is:
(p₁ − p₂) ± t √(p₁q₁/n₁ + p₂q₂/n₂)
where p₁ and p₂ are the population proportions,
q is 1 − p,
n is the sample size,
and t is the critical value for the confidence level.
First, calculate the proportions:
p₁ = 48/75 = 0.64
p₂ = 42/75 = 0.56
Now calculate the standard error:
SE = √(0.64×0.36/75 + 0.56×0.44/75)
SE = 0.0797
For large sample sizes, we can approximate the critical value t using z. At 98% confidence, z = 2.326.
Therefore, the confidence level of the difference in proportions is:
(0.64 − 0.56) ± 2.326 × 0.0797
(-0.105, 0.265)
Since the population is 1000 apples, the confidence interval for number of apples is (-105, 265).
Ответ:
bul bulhwuwwhwbiwjwbeuriejrh