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
Posted: Mon May 09, 2022 12:56 pm
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.)
(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.)