I would definitely appreciate some help with these questions

I would definitely appreciate some help with these questions....thank you so much

A decade ago, 46% of parents who had children were satisfied with the quality of education students receved in thee area A researcher feels the percentage is lower now A random sample of 250 parents yielded a sample proportion of 0 40 Test the researchers claim at the (-05 significance level esearcher\'s claim at the ore 05 significance | Question 2 12 pts

Solution

Q1.
Set Up Hypothesis
Null, H0:P=0.46
Alternate, H1: P<0.46
Test Statistic
No. Of Success chances Observed (x)=100
Number of objects in a sample provided(n)=250
No. Of Success Rate ( P )= x/n = 0.4
Success Probability ( Po )=0.46
Failure Probability ( Qo) = 0.54
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.4-0.46/(Sqrt(0.2484)/250)
Zo =-1.9035
| Zo | =1.9035
Critical Value
The Value of |Z | at LOS 0.05% is 1.64
We got |Zo| =1.903 & | Z | =1.64
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value: Left Tail -Ha : ( P < -1.90347 ) = 0.02849
Hence Value of P0.05 > 0.02849,Here we Reject Ho

We have evidence to support proportion rate is lower now