Question 1053939: One study, based on responses from 1016 randomly selected teenagers, concluded that 43% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure.
Formulate the null and alternative hypotheses. Choose the correct answer below.
A.
Upper H 0H0: pequals=0.5
Upper H Subscript aHa: pgreater than>0.5
B.
Upper H 0H0: pequals=0.5
Upper H Subscript aHa: pnot equals≠0.5
C.
Upper H 0H0: pequals=0.5
Upper H Subscript aHa: pless than<0.5
D.
Upper H 0H0: pless than<0.5
Upper H Subscript aHa: pequals=0.5
Find the test statistic.
zequals=
(Round to two decimal places as needed.)
Find the P-value for the found test statistic.
P-valueequals=
(Round to four decimal places as needed.)
State the conclusion. Choose the correct answer below.
A.
Reject Upper H 0H0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
B.
Do not reject Upper H 0H0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
C.
Reject Upper H 0H0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
D.
Do not reject Upper H 0H0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! One study, based on responses from 1016 randomly selected teenagers, concluded that 43% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure.
Formulate the null and alternative hypotheses. Choose the correct answer below.
C.
Upper H H0:p = 0.5
Upper H Subscript aHa: p less than<0.5
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Find t he test statistic.
z(0.43) = (0.43-0.5)/(need a standard deviation for the 1016 results)
------------------------------
(Round to two decimal places as needed.)
Find the P-value for the found test statistic.
P-valueequals=
(Round to four decimal places as needed.)
State the conclusion. Choose the correct answer below.
A.
Reject Upper H 0H0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
B.
Do not reject Upper H 0H0. There is sufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
C.
Reject Upper H 0H0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
D.
Do not reject Upper H 0H0. There is insufficient evidence to support the claim that fewer than half of all teenagers in the population feel that grades are the greatest source of pressure.
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Cheers,
Stan H.
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