Hypothesis Test $-$ Proportions $-$ Previous Campaign Outcomes

Question: Is there sufficient evidence to conclude that clients with previous successful campaign outcomes $($p$\_$outcome $=$ success$)$ are more likely to purchase a term deposit than those with previous failed campaign outcomes? Test at the $1\%$ level of significance.

From previous calculations, we know that:

$815$ out of the $1239$ people with previous campaign success purchase a term deposit $($pS$)$

$548$ out of the $3822$ people with previous campaign failures purchased a term deposit $($pF$)$

Question $10(1$ point$)$

What is the null hypothesis? There can be more than one way to state the null hypothesis for this question$-$ select all that are true.

Question $10$ options:

a$)$

pS $>$ pF

b$)$

pS $<$ pF

c$)$

pS $=$ pF

d$)$

pS $$ pF $>0$

e$)$

pS $$ pF $<0$

f$)$

pS $$ pF $=0$

Question $11(1$ point$)$

What is the alternative hypothesis? There can be more than one way to state the alternative hypothesis $-$ select all that are true.

Question $11$ options:

a$)$

pS $>$ pF

b$)$

pS $<$ pF

c$)$

pS $=$ pF

d$)$

pS $$ pF $>0$

e$)$

pS $$ pF $<0$

f$)$

pS $$ pF $=0$