Answer:
71.764 feet
Step-by-step explanation:
See attached the rough sketch for your reference
Step one;
Given data
The angle of elevation= 25°
From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent
Step two:
Applying SOH CAH TOA
tan∅= opp/adj
tan 25= opp/154
0.466= opp/154
cross multiply
0.466*154= opp
opp= height of church = 71.764 feet
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.