A multinomial experiment with k = 3 cells and n = 280 produced the data shown below. Cell 1 Cell 2 Cell 3 n 79 78 123 If

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A Multinomial Experiment With K 3 Cells And N 280 Produced The Data Shown Below Cell 1 Cell 2 Cell 3 N 79 78 123 If 1 (38.16 KiB) Viewed 31 times

A Multinomial Experiment With K 3 Cells And N 280 Produced The Data Shown Below Cell 1 Cell 2 Cell 3 N 79 78 123 If 2 (24.84 KiB) Viewed 31 times

A Multinomial Experiment With K 3 Cells And N 280 Produced The Data Shown Below Cell 1 Cell 2 Cell 3 N 79 78 123 If 3 (23.17 KiB) Viewed 31 times

A Multinomial Experiment With K 3 Cells And N 280 Produced The Data Shown Below Cell 1 Cell 2 Cell 3 N 79 78 123 If 4 (24.48 KiB) Viewed 31 times

A multinomial experiment with k = 3 cells and n = 280 produced the data shown below. Cell 1 Cell 2 Cell 3 n 79 78 123 If the null hypothesis is Ho: P1= .25, P2= .25, p = .5 and using a = 0.01, then do the following: (a) Find the expected value of Cell 1. E(Cell 1) = (b) Find the expected value of Cell 2. E(Cell 2) = (c) Find the expected value of Cell 3. E(Cell 3) - (d) Find the test statistic. x² (e) Find the rejection region. The final conclurion ic

Among drivers who have had a car crash in the last year, 230 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 89 58 32 51 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.025 significance level, test the claim that the distribution of crashes conforms to the distribution of ages. The test statistic is x² The critical value is x² TI

Do male and female skiers differ in their tendency to use a ski helmet? Ruzic and Tudor (2011) report a study in which 710 skiers completed a survey about aspects of their skiing habits. Suppose the results from the question on the survey about ski helmet usage were as follows: Gender Male Female Helmet Usage Never Occasionally 222 79 35 110 Always 193 71 Ruzic, L. and Tudor, A. (2011): Risk-taking behaviour in skiing among helmet wearers and nonwearers. Wilderness and Environmental Medicine, 291-296.

Part b) Under the null hypothesis, what is the expected number of men in the survey who never wear a ski helmet? Give your answer to 2 decimal places. Part c) Perform a suitable test in R on the data above to test the null hypothesis. Provide the value of your test statistic to 2 decimal places.