please use the Statistical tables provided Question 2The probability that a rose bud blooms is p. In a random sample of 500 rose buds, 240 of thembloomed.With the data obtained in a random sample, a hypothesis test at the 1% level of significance iscarried out to determine whether p is different from 0.45.a) State the null and alternative hypothesisb) Calculate the test Statisticsc) What is the p-value of the test?d) Supporting your answer, state the conclusion of the test ProbabilityPoisson distributionP(A or B) = P(A) + P(B) – P(A and B)P(A and B) = P(A) x P(B) for independent eventsX- Po(A)P(A and B) = P(A) x P(B|A) for dependent eventsP(X - x) = **x!P(A and B)P(B|A) =P(A)Confidence IntervalNormal Distribution1. z-confidenceinterval:X- N(4, ơ)X-u2. t-confidenceinterval:1. Standard normal: Z -(df -n-1)3. Confidence intervalfor proportion:P(1 – P)nSampling Distribution1. 4 =42.Test StatisticsX-41. z-test for p : 2=3.X - µ2.t-test for u: t =(d.f. = n-1)S/ VnDiscrete Probability Distribution3. z-test forp: z-» np 2 51. EÇX) = µ, = Ex,P,P(1 - P),and np z 5 (where q = 1-p)Var(X) = o = 2(x, -4,)°p,%3D%3D4. Chi-square test statistic = y0- E)(0-E)Binomial DistributionΣX- Bin(n, p)n-kP(X - k) -P" (1-n!p (1-n-kk!(n -k)!

Given that, Sample size n=500 Sample proportion of rosebuds that bloomed p^=240500=0.48

The probability that a rose bud blooms is p. In a random sample of 500 rose buds, 240 of them bloomed. With the data obtained in a random sample, a hypothesis test at the 1% level of significance is carried out to determine whether p is different from 0.45. a) State the null and alternative hypothesis b) Calculate the test Statistics c) What is the p-value of the test? d) Supporting your answer, state the conclusion of the test

The probability that a rose bud blooms is p. In a random sample of 500 rose buds, 240 of them bloomed. With the data obtained in a random sample, a hypothesis test at the 1% level of significance is carried out to determine whether p is different from 0.45. a) State the null and alternative hypothesis b) Calculate the test Statistics c) What is the p-value of the test? d) Supporting your answer, state the conclusion of the test

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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