Anational survey of 47,000 american house- holds in 2006 found that 32.4% of the households included a pet cat. this survey result was reported in the 2011 statis- tical abstract of the united states, which listed the american veterinary medical association as the source. no information was provided about how the sample households were selected.

a. conduct a theory-based test of whether one-third of all american households include a pet cat. report the null and alternative hvpotheses and the values of the z-statistic and p-value. also state your test decision using the 0.01 signiicance level.

b. explain why the p-value turned out to be so small even though the observed sample proportion appears to be quite close to 1/3.

c. determine a 99% confidence interval for the population proportion of american households that include a pet cat .

d. is the confidence interval consistent with the significance test result? how can vou tell?

e. does the confidence interval indicate that the population proportion is much different from 1/3? explain.

the naturalist literary movement was an extension of the realist literary movement, a movement that strove to portray life as it really was hope it

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

no solution

step-by-step explanation:

there is not enough information in the problem to solve.