E-Mail : support@onlinemathsguru.com
Test the claim that the proportion of people who own dogs is less than 31%. A random sample of 1000 people found that 28.8% owned dogs. Do the sample data provide convincing evidence to support the claim? Test the relevant hypothesis using a 5% level of significance. Give an answer to at least 4 decimal places.
Solution
use a binomial, asjust 2categories,own dogs or not
x=1000(p)= 280
xbar=310
var=310(.79)=244.9
sd=sqr244.9= about 15.6493
alpha=.05
CI=310+/-15.6493(1.96), 1.96= about 2
= about (310-31.2986, 310+41.2986)
280 is in the 95% CI
fail to reject Ho: mean=31% dog owners
but what about one dog with 2 owners?