Answer:
1. Null hypotheses: p=0.49
Alternative hypotheses: p>0.49
2. p=0.5704 or 57.04%
Step-by-step explanation:
1.
We have to writer the hypotheses for testing the proportion has increased from 49%. So, the population proportion that is to be tested is 0.49.
As we already know that the null hypotheses always contain equality so,
Null hypotheses: p=0.49
and we have to test whether the proportion has increased from 0.49, so,
Alternative hypotheses: p>0.49
Thus, the hypotheses for testing the proportion has increased from 49% are
Null hypotheses: p=0.49
Alternative hypotheses: p>0.49
2.
We have to find the proportion of sampled customers using loyalty card.
The given sample indicate that 77 out of 135 customers are using loyalty card. So,
p=x/n
where x is the number of favorable outcome and n is total number of outcome.
Here, x=77 and n=135. So,
p=77/135=0.5704 or 57.04%