Statistics and Probability Answers

Calculate the 𝑝-value of the test of the following hypothesis given that the sample proportion 𝑝 =

0.63, n = 800. The null hypothesis and alternative hypothesis are: H0: 𝑝 = 0.60 vs H1: 𝑝 > 0.60.

Will the null hypothesis be rejected at a 5% level of significance?

Ten percent of the population worldwide is affected by chronic kidney disease (CKD), and millions

die each year because they do not have access to affordable treatment. In a sample of 1200 people,

96 people suffer from CKD. State the null and alternative hypotheses that would be used to test at

a 1% level of significance the claim. Choose your answer from the following:

A. H0: 𝜇 = 10 vs H1: 𝜇 ≠ 10

B. H0: 𝑝̅= 0.10 vs H1: 𝑝̅≠ 0.10

C. H0: 𝑝 = 0.1 vs H1: 𝑝 > 0.1

D. H0: 𝑝 = 0.08 vs H1: 𝑝 < 0.08

E. H0: μ = 96 vs H1: μ ≠ 96

F. H1: 𝑝 = 0.1 vs H0: 𝑝 ≠ 0.1

G. H0: 𝑝 = 0.08 vs H1: 𝑝 ≠ 0.08

H. H0: 𝑝 = 0.1 vs H1: 𝑝 ≠ 0.1

I. H0: 𝑥̅= 10 vs H1: 𝑥̅≠ 10

A manufacturer of dog food is concerned about the low levels of sales recorded of one of its tinned

products and wants to consider removing this product from its line. Before doing so, a limited scale

market surveyed of 1000 customers that buy this particular brand of dog food is conducted. Of the

people surveyed, 230 said that they would like the manufacturer to keep the product under

investigation as one of the products in the manufacturer’s line. Use this information to construct the

95% confidence interval for the proportion of all customers of this manufacturing brand that would

like the manufacturer to keep the product under investigation as one of the products in the

manufacturer’s line.

Consider all samples of size 4 from this population without replacement: 6 8 10 12 13 what is the mean and standard deviation of the sampling distribution

the manufacture of television TUBes knows from the past experience thatthe average life of tubes is 2000 hrs with a s.d. of 200hrs . a sample of 100 tube has an average life of 1950 hrs. test at the 0.01 level of significance to see if this sample came from a normal population of mean 2000hrs. step by step explanation

The average number of days school is closed due to snow during winter in a certain city in the eastern part of United States is 4. What is the probability that the schools in the city will close for 6 days during a winter.

The average price of a sample of 12 bottles of diet salad dressing taken from different stores is $1.43. The standard deviation is $0.09. The average price of a sample of 16 low-calorie frozen desserts is $1.03. The standard deviation is $0.10. Use α = 0.05 to test that the price of salad dressings significantly higher than the price of frozen desserts. Formulate the null and alternative hypothesis.

the pdf of a continuous random variable x is given by f(x)="\\int c\/" square root x where 0 <x<4 find the constant c and find the cumulative distribution function of x then compute P(x>1)

Lottery games are very popular, but what are the actual probabilities that a ticket purchased is going to win? Calculate the probability of winning some of the more popular games. A game that draws 3 digits from 0-9 from three separate machines. What is the probability of winning a “box” bet by matching the three digits in any order? What is the probability of not matching any numbers on a ticket? A game that draws 5 digits from 1-49 from the same machine. In other words, numbers are drawn and not replaced. What is the probability of winning the jackpot by matching all 5 numbers? What is the probability of winning a major prize by matching 4 of the 5 numbers? Make the calculation assuming the first 4 values are matched and the fifth one does not. What is the probability of not matching any numbers on a ticket?