Question

A 2010 survey by a reputable automotive website found that 61 of vehicle owners avoided octive maintenance and repars. Suppose a company would like to perform a hypothesis est to challenge this finding From a random sample of 150 vehicle owners. It was found that 86 avoid maintenance repairs Using 10.answer parts a and below Determine the null and alternative hypotheses Choose the correct answer below. Ho Dsobi Hi p»ooi HD-061 HD#061 Ho p2061 H. D-061 Ho 061 HD8061 Determine the critical values of the test statistic 2" - 1645.1 645 (Use a comma to separate answers and Round to the decima places as needed Calculate the test statistie 2-Round to two decimal places as needed Enter your answer in the answer box and then click Check Answer pan

Answer 1

x be the number of vehicle owners Let droid mentainance and repairs out of n=150. here, n=150 Po=o.6l. Now , 86 0.5733 i-Ê = 0.4267 we want to test Ho : p=0.6) Vs Hi P70.61 Test statistic is given by , Zcal P. N Now) under Ho. Po Polo n Hese, Po=0.61 I-Por (-0.61 0 - 39 Zcal - 0-5733 – 0.61 0.61 0.39 = -0.9207

Date sound decimal places test Zial two statistic -0.92 Nowe Herre , x=0.10 critical value is Zal2 Zoolo u 7 1.645. critical values of test statistic are -1.645, 1-645 Decision botena : we reject I call 7 2012 Ho at Il significance level if at Here, Izcall (1.645= 24/2 ie. o.g2 < 1.645 hence, we decept Ho 10 % significance level. conclusion: There is sufficient evidence to support the claim that 61.). of vehicle Owners avoided automotive mcuolainance and gepaios