# One-sample Hypothesis Test for p

The one-sample hypothesis test for proportions (p) is a statistical method designed to assess whether a sample proportion significantly differs from a hypothesized population proportion. This analysis plays a vital role in drawing inferences about categorical data, such as the success or failure of a particular event. By comparing the observed sample proportion to the expected population proportion, statisticians can determine whether any observed deviation is statistically significant, providing a rigorous framework for decision-making in various fields, from public health to market research.

Questions

- What is the value of a? P(X≥a)=0.5
- If #P(A) = .7, P(B) = .5#, and #P(B|A)=.4#, what is #P(A# and #B)#?
- In a certain region, 46% of the population is female.It is known that 5% of males and 2% of females are left-handed.A person is chosen at random and found to be left-handed.What is the probability that this person is a male?
- A medical researcher says that less than #25%# of US. adults are smokers. In a random sample of #200# US. adults, #18.5%# say that they are smokers. At #alpha = 0.05#, is there enough evidence to reject the researchers claim?
- Probability- In a certain population, 7% of the people have Rh-positive blood. In a sample of 6 people from this population a) What is the probability that none have Rh-positive blood? b) What is the probability that 5 or less people have Rh-positive?
- What are the conditions required for conducting a one-sample proportion z test?
- Why does the margin of error decrease as the sample size #n# increases?
- How do you find the p-value of a two tailed test when z = 1.97?
- How do you find the p-value for a two-tailed test with n = 6 and a test statistic t = 2.067?
- Let π denote the proportion of grocery store customers that use the store's club card. For a large sample z test of Hₒ: π = 0.5 versus Hₐ: π > 0.5, how do you find the P-value associated with the test statistic 1.40?
- Let π denote the proportion of grocery store customers that use the store's club card. For a large sample z test of Hₒ: π = 0.5 versus Hₐ: π > 0.5, how do you find the P-value associated with the test statistic 1.96?
- P(X≤a)=0.75 What is the value of a?
- A test consists of nine true/false questions. A student who forgot to study guesses rendomly on every question. What is the probability that the student answers at least two questions correctly?
- #Q# and #R# are independent events. If #P(Q)=0.8# and #P(R)=0.2#, what is #P(Q# and #R)#?
- Harriet was rated at her job with a pretest and a posttest. The posttest score counted double. If she scored 88 on the pretest and 93 on the posttest, what was her weighted average?
- A burger joint offers burgers with 1, 2, and 3 patty options, with and without cheese. What percentage of the orders are 2 patties, no cheese?
- You are taking a multiple choice test. Each question has 4 possible answers, 1 of which is correct. You were able to study 70% of the material and will get each of those questions right. Find the following?
- How to find the p-value?
- A random sample of #n=100# is drawn from a Binomial distribution, yielding an average of 0.25. What is the mean and standard deviation of #hatp#? What is the probability that #p# is between 0.18 and 0.46?
- Sarah has gone to work for 60 days. On 39 of those days, she arrive at work before 8:30 A.M. On the rest of the days she arrived after 8:30 A.M. What is the experimental probability she will arrive after 8:30 A.M. on the next day she goes to work?