Answer:
a) 
b) 
If we compare the p value and the significance level given we see that 
we have enough evidence to reject the null hypothesis at 5% of significance.
Step-by-step explanation:
Data given and notation
n=114 represent the random sample taken
estimated proportion of people that their approval rating might have changed
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Hypothesis
We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:
Null hypothesis:
Alternative hypothesis:
Part a
(1)
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Part b: Statistical decision
The significance level provided . The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
If we compare the p value and the significance level given we see that we have enough evidence to reject the null hypothesis at 5% of significance.
I’m timed on this I need help as well
Well you start by dividing 19779 by 20820 to see the percent of people compared to last year (it being 95%). Then you take 19,779 and multiply it by the same percentage, or 0.95. That means that there should be 18790 (it's technically 18790.1 but since that's people you round to the nearest whole number).
Around 0.02 or more precise, 0.02083
