Let n1 =80​, X1 =60​, n2=80​, and X2=70. Complete parts​ (a) and​ (b) below. Question content area bottom Part 1 a. At t

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answerhappygod
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Let n1 =80​, X1 =60​, n2=80​, and X2=70. Complete parts​ (a) and​ (b) below. Question content area bottom Part 1 a. At t

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Let n1 =80​, X1 =60​, n2=80​, and X2=70. Complete parts​
(a) and​ (b) below.
Question content area bottom
Part 1
a. At the
0.05 level of​ significance, is there evidence of a
significant difference between the two population​
proportions?
Determine the null and alternative hypotheses. Choose
the correct answer below.
A.
H0: π1≠π2
H1: π1=π2
B.
H0: π1≤π2
H1: π1>π2
C.
H0: π1≥π2
H1: π1<π2
D.
H0: π1=π2
H1: π1≠π2
Part 2
Calculate the test​ statistic,
ZSTAT​, based on the difference p1
−p2.
The test​ statistic,
ZSTAT​ =
enter your response here
.
​(Type an integer or a decimal. Round to two decimal
places as​ needed.)
Part 3
Calculate the​ p-value.
The​ p-value =
.
​(Type an integer or a decimal. Round to three decimal
places as​ needed.)
Part 4
Determine a conclusion. Choose the correct answer
below.

Reject
Do not reject
the null hypothesis. There is

insufficient
sufficient
evidence to support the claim that there is a
significant difference between the two population
proportions.
Part 5
b. Construct a 95​% confidence interval estimate of the
difference between the two population proportions.
enter your response here ≤ π1 −π2 ≤ enter your
response here
​(Type integers or decimals. Round to four decimal
places as​ needed.)
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