Question 141844
 A consumer agency tested 290 hams, finding that 64 were underweight. 
(a) Construct a 95 percent confidence interval for the true percent of underweight hams. 
p-hat = 64/290 = 0.22
E = 1.96sqrt(0.22*0.78/290) = 0.024
95% CI: 0.22-0.024 < p < 0.22+0.024
: 0.196 < p <  0.22024

------------------------
(b) If the goal is to reduce the incidence of under weight hams to 25 percent or less, does this sample show that the goal is being achieved? 
No, we have 95% confidence that p is between 19.6% and 22%
That interval does not include 25%
---------------------------------------------
(c) Explain how this confidence interval is equivalent to a two-tailed test at &#945; = .05.
I'll leave that to you.
----------------------
Cheers,
Stan H.