![aischa282005](/avatars/42391.jpg)
aischa282005
15.04.2020 •
Mathematics
College students and STDs: A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). Due to the demographics of the community, the director of the campus health center believes that the proportion of students who have a STD is lower at his college. He tests H0: p = 0.25 versus Ha: p < 0.25. The campus health center staff select a random sample of 50 students and determine that 18% have been diagnosed with a STD. Is the sample size condition for conducting a hypothesis test for a population proportion satisfied?
a. No, because (50)(0.18) is less than 10. Because of this the sample size is too small to use the normal distribution to model the distribution of sample proportions.
b. No, because 50 students is not enough to be representative of the students at the college
c. Yes, because the sample is random. It represents the college students at this campus.
d. Yes, because (50)(.25) and (50)(1 ? 0.25) are both at least 10. This means we can use the normal distribution to model the distribution of sample proportions.
Solved
Show answers
More tips
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
Answers on questions: Mathematics
- M Mathematics James trained for the boston marathon for 3 1/2 hours every day. how many hours did he train in the month of june?...
- M Mathematics Which pattern folds into the triangular prism? the letter choice is in the 2nd picture...
- M Mathematics Write the equation in standard form 2x2 + 7x = 15...
- C Chemistry Pls to be scientific useful, observations and experiments must be a. inexpensive and deducible b. repeatable and verifiable c. morally justifiable and financially feasible...
- M Mathematics if x is 5 more than 2m y is 3 less than m and z is one more than 3m then what is the average of x y and z in terms of m...
- M Mathematics Solve the problem. A ball is kicked upward with an initial velocity of 68 feet per second. The ball s height, h (in feet), from the ground is modeled by h = negative...
Ответ:
d. Yes, because (50)(.25) and (50)(1 - 0.25) are both at least 10. This means we can use the normal distribution to model the distribution of sample proportions.
Step-by-step explanation:
College students and STDs :
The population proportion is p = 0.25
Sample size of students is n = 50
np = 50×0.25 = 12.5
n(1-p) = 50×(1-0.25) = 37.5
Therefore, yes, the sample size condition for conducting a hypothesis test for a population proportion is satisfied because (50)(0.25) and (50)(1 - 0.25) are both at least 10. This means we can use the normal distribution to model the distribution of sample proportions.
Ответ:
45
Step-by-step explanation:
30 x 0.5 equals 15 then add that to the 30$ and get 45