Pete is a politician. He claims that 32% of the households in his district have total household incomes below the poverty level. His opponent, Opal, wants to test this claim. Opal uses p to represent the proportion of households in the district with incomes below the poverty level. She formulates the null hypothesis, H0:p = 0.32, and an alternative, H1:p ≠ 0.32, to reflect her suspicion that Pete is wrong. Opal obtains a simple random sample of 225 households and finds that 87 of them have incomes below the poverty level. Her summary statistics are displayed. Sample size Sample count Sample proportion Standard error One-sample z-statistic n x p SE z 225 87 0.3867 0.0313 1.8077Use software to determine the p-value of the one-sample z-statistic.

For a bilateral test the p value would be:  

Step-by-step explanation:

Information given

n=225 represent the sample selected

X=87 represent the households with incomes below the poverty level

estimated proportion of households with incomes below the poverty level

is the value that we want to test

z would represent the statistic

represent the p value

System of hypothesis

We want to check if the true proportion is equal to 0.32 or not.:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given bY:

(1)  

Replacing we got:

For a bilateral test the p value would be:  

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step-by-step explanation:

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk