Question

(All one question)

1. Suppose we want to test the claim that Connecticut and New York have the same proportion of cars with rear license plates only. Below is data from randomly selected cars in Connecticut and New York. Use a .05 significance level to test this claim. Cars with rear license plates only Cars with front and rear license plates 1810 Connecticut New York 239 9 541 2049 550 Total a. Check that requirements for a hypothesis test about two proportions are met. b. Determine the null and alternative hypotheses. c. Should a normal or t distribution be used for this hypothesis test? d. Find the P-value and test statistic. ^ e. Find the relevant critical values. Draw a picture labeling the critical region. Is it left-tailed, right- tailed, or two-tailed? O f. Can we reject the null hypothesis?

that is the full question

Answer 1

PAGE NO. DATE P = 239 2049 solution. The requirement for a hypothesis test about two proberkons are met as, is the proportion of Connecticut cars with rear license plates onles, B is the proportion of New New York cars with rear license plates only. and, = 239 + 9 is the overall properti- 550 2049 1550 -ons. b) The null and alternate hypotheses and to И BB27 HA :-p, tp lither pep a p?P= A normal distribution Lalest I be used used for this hypothesis: (d) = (p, - P22 - 0 [PHP ( n +17% 0.116 -0.016 / {10-095X1905) + 22049 Sho 234 Zz 370 370

PAGE NO. DATE Now the p-value is co.ooool. The result is significant at p2ous, We will regut not (e) The critical region helps = 1096,420.05. el is two-tailled. th=0.025 2/2=0.025 1.96 0 3 -B - 2 2 (9) Yes, we will rejut no, null hypothesis , as 370 370 > 1.96. (9) Z test Z test is used when my 30, And it is given that is normally distributed and we lonclude that Connecticut ears with rear likense plates have higher propertion that 'that New Yeh can

I HOPE I WAS HELPFUL AND HAVE CLEARED YOUR DOUBTS.

THANKYOU