Question

A 2010 survey by a reputable automotive website found that 61% of vehicle owners avoided automotive maintenance and repairs. Suppose a company would like to perform a hypothesis test to challenge this finding From a random sample of 150 vehicle owners. It was found that 86 avoid maintenance repairs. Using 0.10 answer parts a and below a. What conclusions can be drawn concerning the proportion of vehicle owners who avoid automotive maintenance and repas? Determine the null and alternative hypotheses Choose the correct answer A Hoprost Hi 069 1. Ho pront | | | | Hop 061 HD7061 H 2061 HD61 Determine the obic values of the test stic (Use a comma lo separate answers as needed Round to three decimal places as needed

Answer 1

Sol:

alpha=0.10

Ho:p=0.61

Ha:p not =0.61

z=p^-p/sqrt(p*(1-p)/n)

p^=86/150= 0.5733333

p=0.61

n=150

z=( 0.5733333-0.61)/sqrt(0.61*(1-0.61)/150)

z= -0.9207044

test statisic=-0.921

critical values of z statistic are -1.645 and +1.645

-0.92>-1.645

Fail to reject Ho

Accept Ho

ANSWER:

critical values of z statistic are -1.645 and +1.645