Question

1. We are interested in the survival rates of Christmas Cactus in Nevada. In a typical winter when the cacti are left outside, about 37% of the plants typically die. We wish to see if bringing the plant inside will reduce the death rate. We have a sample of 147 indoor cacti, and suppose we find that out of 147 plants, 44 have died.
   1. (2 points) State the null and alternative hypothesis.
2. 2. ( 3 points) Use StatCrunch (NOT by hand) to determine our p-value. Write a verbal interpretation of what the p-value means in relation to our null hypothesis.
3. 3. ( 3 points) Given a significance level of .05 and the p-value you found in part b, do you reject or fail to reject the null hypothesis?
4. (4 points) A recent study conducted in Portland,OR found that of a sample of 178 men, 49 said they considered themselves gamers. By hand, find the interval associated with 95% confidence and give a full sentence interpretation of what this means of the population parameter. Use StatCrunch to check your work.
5. (4 points) We interview 41 students at OC and find that average amount of sleep is 6.58 hours with a standard deviation of 1.3 hours. Use StatCrunch to find the confidence interval associated with 93% confidence and write a full sentence interpretation.
6. A recent study suggests 27% of college students are not receiving enough sleep. We suspect the number is much higher. We take a random sample of 378 students and find 120 are getting less than the recommended amount of sleep.
   1. ( 2 points) State the null and alternative hypothesis.
7. 2. ( 3 points) Use StatCrunch (NOT by hand) to determine our p-value. Write a verbal interpretation of what the p-value means in relation to our null hypothesis
8. 3. ( 3 points) Given a significance level of .05 and the p-value you found in part b, do you reject or fail to reject the null hypothesis?

Answer 1

Note : allowed to solve only one question per post. Solving the one allowed by hand.

(4 points) A recent study conducted in Portland,OR found that of a sample of 178 men, 49 said they considered themselves gamers. By hand, find the interval associated with 95% confidence and give a full-sentence interpretation of what this means of the population parameter.