Ho: u= 6 HA: u>6 2. [4] An observation X is drawn from a Poisson distribution...

Question

Question

Ho: u= 6 HA: u>6 2. [4] An observation X is drawn from a Poisson distribution with mean u. Consider a test of the hypotheses

Answer 1

Answer #1

solution:

Given data:

H, :μ = 6 HA:μ 26

Thus the test is right-tailed.

Test statistic X Poi(

.:. Ρ-value = PHo (X> observed value of X) = P(X > 12|X - Poi(6)) =1 - P(X< 11/X Poi(6)) =1- -Σ x 0.0201 1! 11 e-66 =0

a)

Ho is rejected if P-value < level of significance

b)

Ho is rejected if P-value < level of significance a P-value 0.0201 <0.05 = Q = The decision is to reject H.

please give me thumb up

Add a comment

Answer 2

Similar Homework Help Questions

Ho u >= 75 HA u < 75 A sample of 30 items was taken from...

Ho u >= 75 HA u < 75 A sample of 30 items was taken from a large population. The sample mean was 72 and the population standard deviation was 7. Using alpha = 0.05, what is the critical value? 1.96 O 1.645 0 -1.645 -1.96 Question 4 Consider the following hypothesis: Ho u >= 75 HA ll < 75 A sample of 30 items was taken from a large population. The sample mean was 72 and the population standard...
In a test of the hypothesis Ho: u = 59 versus Ha: u>59, a sample of...

In a test of the hypothesis Ho: u = 59 versus Ha: u>59, a sample of n = 100 observations possessed mean x = 58.5 and standard deviation s = 3.8. Find and interpret the p-value for this test. The p-value for this test is (Round to three decimal places as needed.)
n = 36 Ho: u 220 x = 18 Ha: u < 20 S= 12 If...

n = 36 Ho: u 220 x = 18 Ha: u < 20 S= 12 If the test is done at a .05 level of significance, the null hypothesis should not be rejected be rejected Not enough information is given to answer this question. None of the other answers are correct. OO

Consider the following hypotheses. HO HS 207 HA > 207 A sample is to be taken...

Consider the following hypotheses. HO HS 207 HA > 207 A sample is to be taken from a population with conditions given in parts a through c. a. n= 10 b. n = 30 mean of 211 and a standard deviation of 6. The hypothesis test is to be conducted using a significance level of 0.05. Determine the probability of committing a Type Il error for the c. n = 50 a. The probability of committing a Type Il error...
is drawn from a Normal population with variance ?^2-5. Consider the z test with hypotheses A...

is drawn from a Normal population with variance ?^2-5. Consider the z test with hypotheses A simple random sample of size n-1 H0: ?: 14 H1: ? > 14 with significance level 0.05 If it were true that ?-157, what would be the power of this test? (Give answers correct to 3 decimal places)
2.Let Xj,X,, Xj, X4, Xj be a random sample of size n-5 from a Poisson distribution...

2.Let Xj,X,, Xj, X4, Xj be a random sample of size n-5 from a Poisson distribution with mean ?. Consider the test Ho : ?-2.6 vs. H 1 : ? < 2.6. a)Find the best rejection region with the significance level a closest to 0.10 b) Find the power of the test from part (a) at ?= 2.0 and at ?=1.4. c) Suppose x1-1, x2-2, x3 -0, x4-1, x5-2. Find the p-value of the test.

Let X be a discrete random variable that follows a Poisson distribution with = 5. What...

Let X be a discrete random variable that follows a Poisson distribution with = 5. What is P(X< 4X > 2) ? Round your answer to at least 3 decimal places. Number
Problem H5 Let X be a single observation (n-1) from the following distribution: f(rle)-o elsewhere NOTE:XBeta(0,...

Problem H5 Let X be a single observation (n-1) from the following distribution: f(rle)-o elsewhere NOTE:XBeta(0, 1) The following two hypotheses are being tested: 110 : e-2 vs Ha : ?-1. (a) Draw a graph of f(z | ?) when (i) Ho is true and when (ii) H. is true. Put both graphs on the same plot. Explain why a rejection region of the form (X<k) makes intuitive sense (b) Find k, so that the test has level a 0.05....
Consider the following hypotheses: HO: > 220 HA: U <220 A sample of 72 observations results...

Consider the following hypotheses: HO: > 220 HA: U <220 A sample of 72 observations results in a sample mean of 209. The population standard deviation is known to be 18. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test...

Consider testing Ho: u = 20 against Ha: u< 20 where u is the mean number...

Consider testing Ho: u = 20 against Ha: u< 20 where u is the mean number of latex gloves used per week by all hospital employees, based on the summary statistics n = 47, X = 19.2, and s = 11.5. Complete parts a and b. a. Compute the p-value of the test. The p-value of the test is . (Round to four decimal places as needed.) b. Compare the p-value with a = 0.05 and make the appropriate conclusion....