Given the null and alternative hypothesesbelow, test the hypothesis using alpha =0.01 assuming that a sample of n=300 yielded x=164 items with the desired attribute.

H0 :p>=0.61

HA :p<0.61

Check the requirement for a hypothesis test for a proportion.

1.In thissituation, np= ? is ( choose equal to ,less than, greater than ) 5 and n(1-p)= ? is ( choose equal to ,less than, greater than )5. Thus, the requirement ( choose is, is not )satisfied.

2.What is the teststatistic?

z=?

What is thep-value?

p-value=?

What is the properconclusion?

( Choose Reject and Do not reject ) H0. There is ( sufficient, insufficient)evidence to conclude that the population proportion is (less than, at least, equal to, greater than )0.61.