An education researcher claims that 54% of college students work year-round. In a random sample of 600 college students, 324 say they work year-round. At α=0.10, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of college students work year-round. B. At most nothing% of college students work year-round. C. The percentage of college students who work year-round is not nothing%. D. At least nothing% of college students work year-round. Let p be the population proportion of successes, where a success is a college student who works year-round. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. H0: p≠nothing Ha: p=nothing B. H0: p≤nothing Ha: p>nothing C. H0: p>nothing Ha: p≤nothing D. H0: p=nothing Ha: p≠nothing E. H0: pnothing. D. The rejection region is z>nothing. (c) Find the standardized test statistic z. z=nothing (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. ▼ Reject Fail to reject the null hypothesis. There ▼ is is not enough evidence to ▼ support reject the researcher's claim.
An education researcher claims that 54% of college students work year-round. In a random sample of 600 college students, 324 say they work year-round. At α=0.10, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of college students work year-round. B. At most nothing% of college students work year-round. C. The percentage of college students who work year-round is not nothing%. D. At least nothing% of college students work year-round. Let p be the population proportion of successes, where a success is a college student who works year-round. State H0 and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. H0: p≠nothing Ha: p=nothing B. H0: p≤nothing Ha: p>nothing C. H0: p>nothing Ha: p≤nothing D. H0: p=nothing Ha: p≠nothing E. H0: pnothing. D. The rejection region is z>nothing. (c) Find the standardized test statistic z. z=nothing (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. ▼ Reject Fail to reject the null hypothesis. There ▼ is is not enough evidence to ▼ support reject the researcher's claim.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
Related questions
Question
An education researcher claims that
54%
of college students work year-round. In a random sample of
600
college students,
324
say they work year-round. At
α=0.10,
is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below.(a) Identify the claim and state
H0
and
Ha.
Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
nothing%
of college students work year-round.At most
nothing%
of college students work year-round.The percentage of college students who work year-round is not
nothing%.
At least
nothing%
of college students work year-round.Let p be the population proportion of successes, where a success is a college student who works year-round. State
H0
and
Ha.
Select the correct choice below and fill in the answer boxes to complete your choice.(Round to two decimal places as needed.)
H0:
p≠nothing
Ha:
p=nothing
H0:
p≤nothing
Ha:
p>nothing
H0:
p>nothing
Ha:
p≤nothing
H0:
p=nothing
Ha:
p≠nothing
H0:
p<nothing
Ha:
p≥nothing
H0:
p≥nothing
Ha:
p<nothing
(b) Find the critical value(s) and identify the rejection region(s).
Identify the critical value(s) for this test.
z0=nothing
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
The rejection region is
nothing<z<nothing.
The rejection region is
z<nothing.
The rejection regions are
z<nothing
and
z>nothing.
The rejection region is
z>nothing.
(c) Find the standardized test statistic z.
z=nothing
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
▼
Reject
Fail to reject
▼
is
is not
▼
support
reject
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