Answer:
The alternative hypothesis is [tex]H_1: p > 0.6[/tex].
The critical value is [tex]Z_c = 1.645[/tex]
Step-by-step explanation:
It is claimed that proportion in favor of proportion A is greater than 60%.
This means that at the null hypothesis, we test if the proportion is of at most 60%, that is:
[tex]H_0: p \leq 0.6[/tex]
At the alternative hypothesis, we test if the proportion is more than 60%, that is:
[tex]H_1: p > 0.6[/tex]
What is (are) the critical value?
The critical value is the value of Z with a p-value 1 subtracted by the standard significance level of 0.05, since we are testing if the mean is more than a value, so, looking at the z-table, [tex]Z_c = 1.645[/tex]