is there enough evidence to support the? society's claim?

Question

humane society claims that less than 37?% of U.S. households own a dog. In a random sample of 399 U.S.? households, 156 say they own a dog. At α=0.03?, is there enough evidence to support the? society's claim?

 

a) Write the claim mathematically and identify Upper H0 and  Ha. ?(b) Find the critical? value(s) and identify the rejection? region(s). (c) Find the standardized test statistic.? (d) Decide whether to reject or fail to reject the null? hypothesis, and? (e) interpret the decision in the context of the original claim.

Answer 1

How about this for starters?

 

H0: p_samp = p_pop     (implies 2 tail test)

Ha: p_samp not eq. p_pop

 

test statistic is z = (p_samp - p_pop)/sqrt(p_pop *(1-p_pop)/n)

 

reject H0 if the absolute value of z is associated with probability on the z chart that is less than alpha/2

 

I leave the rest to you.