Question

A group in favor of freezing production of nuclear weapons believes that the proportion of individuals in favor of a nuclear freeze is greater for those who have seen the movie "The Day After" (population 1) than those who have not (population 2). In an attempt to verify this belief, random samples of size 500 are obtained from the populations of interest. Among those who had seen "The Day After", 228 were in favor of a freeze. For those who had not seen the movie, 196 favored a freeze. What is the correct null and alternate hypothesis?

A. H0:p = 0.5 Ha:p > 0.5

B. H0:p1 = p2 Ha:p1 > p2

C. H0:p1 = p2 Ha:p1 not equal p2

D. H0:p = 0.5 Ha:p not equal 0.5

Answer 1

ANSWER:- OPTION B

EXPLANATION

Null Hypothesis:- A null hypothesis is a type of hypothesis used in statistics that proposes that no statistical significance exists in a set of given observations.

Let p1 be the Proportion of nuclear freeze who has seen the movie and p2 be the proportion of nuclear freeze who hasn't seen the movie

So H₀:- p1-p2

or p1=p2

Alternative Hypothesis:-The alternative hypothesis is the hypothesis used in hypothesis testing that is against to the null hypothesis.So

H₁:-p1>p2

i.e Proportion of nuclear freeze who has seen the movie is greater than  p2 the proportion of nuclear freeze who hasn't seen the movie.

#please feel free to ask any doubts