Question

A sample of 100 students found 30 chose Snickers as their favorite candy bar. The store has claimed that 33% of students choose Snickers as their favorite candy. Test this claim with an alpha of 0.02 using a two-tailed test.

Answer 1

To Test :-

H0 :- P = 0.33

H1 :- P   0.33

n = 100
P = X / n = 0.3

Test Statistic :-


Z = -0.64
Test Criteria :-
Reject null hypothesis if

= -0.64 > -2.326, hence we fail to reject the null hypothesis
Conclusion :- We Fail to Reject H0

Decision based on P value
P value = 2 * P ( Z > -0.64 )
P value = 0.5222
Reject null hypothesis if P value <
Since P value = 0.5222 > 0.02, hence we fail to reject the null hypothesis
Conclusion :- We Fail to Reject H0

There is sufficient evidence to support the claim that 33% of students choose Snickers as their favorite candy.