b please Let n1=80​, X1=60​, n2=80​, and X2=70. Complete parts​ (a) and​ (b) below.       a. At the 0.01 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 Your answer is correct.   D. H0: π1≠π2 H1: π1=π2 Calculate the test​ statistic, ZSTAT​, based on the difference p1−p2.   The test​ statistic, ZSTAT​, is negative 2.03−2.03. ​(Type an integer or a decimal. Round to two decimal places as​ needed.) Calculate the​ p-value.   The​ p-value is 0.0430.043. ​(Type an integer or a decimal. Round to three decimal places as​ needed.) Determine a conclusion. Choose the correct answer below.   Do not reject   the null hypothesis. There is insufficient   evidence to support the claim that there is a significant difference between the two population proportions. b. Construct a 99​% 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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b please

Let
n1=80​,
X1=60​,
n2=80​,
and
X2=70.
Complete parts​ (a) and​ (b) below.
 
 
 
a. At the
0.01
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
Your answer is correct.
 
D.
H0: π1≠π2
H1: π1=π2
Calculate the test​ statistic,
ZSTAT​,
based on the difference
p1−p2.
 
The test​ statistic,
ZSTAT​,
is
negative 2.03−2.03.
​(Type an integer or a decimal. Round to two decimal places as​ needed.)
Calculate the​ p-value.
 
The​ p-value is
0.0430.043.
​(Type an integer or a decimal. Round to three decimal places as​ needed.)
Determine a conclusion. Choose the correct answer below.
 
Do not reject
 
the null hypothesis. There is
insufficient
 
evidence to support the claim that there is a significant difference between the two population proportions.
b. Construct a
99​%
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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