A poll in June 2020 found that 83% of American parents believe that virtual learning instead of in- person learning widens the equity gap for students. A later poll in October 2020 asked 1025 American parents if they believe virtual learning instead of in- person learning widens the equity gap for students, and found that 820 believe that yes, virtual learning instead of in-person learning widens the equity gap for students. Does this mean that the proportion of American parents, who believe that virtual learning instead of in-person learning widens the equity gap for students, has decreased? Test at the 10 % significance level. State the hypotheses. Ho: p (? HA: p (? Calculate the sample proportion. Round to four decimal places. p = Calculate the test statistic. Round to two decimal places. Find the p-value. Give to four decimal places. p-value = State your decision. Since the p-value is less than 0.1, fail to reject Ho. Since the p-value is less than 0.1, reject Ho. Since the p-value is greater than 0.1, fail to reject Ho. Since the p-value is greater than 0.1, reject Ho. Interpret the results. At the 10% level of significance, there is not enough evidence to support that the proportion of American parents, who believe that virtual learning instead of in-person learning widens the equity gap for students, is more than 83% (the value from the earlier poll) At the 10% level of significance, there is enough evidence to support that the proportion of American parents, who believe that virtual learning instead of in-person learning widens the equity gap for students, is more than 83% (the value from the earlier poll). At the 10 % level of significance, there is not enough evidence to support that the

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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A poll in June 2020 found that 83% of American
parents believe that virtual learning instead of in-
person learning widens the equity gap for students. A
later poll in October 2020 asked 1025 American
parents if they believe virtual learning instead of in-
person learning widens the equity gap for students,
and found that 820 believe that yes, virtual learning
instead of in-person learning widens the equity gap
for students. Does this mean that the proportion of
American parents, who believe that virtual learning
instead of in-person learning widens the equity gap
for students, has decreased? Test at the 10%
significance level.
State the hypotheses.
Но: р (?
На: р (?
Calculate the sample proportion. Round to four
decimal places.
Calculate the test statistic. Round to two decimal
places.
Z =
Find the p-value. Give to four decimal places.
p-value =
State your decision.
Since the p-value is less than 0.1, fail to
reject Ho.
Since the p-value is less than 0.1, reject Ho.
| Since the p-value is greater than 0.1, fail to
reject Ho.
O Since the p-value is greater than 0.1, reject
Но-
Interpret the results.
O At the 10% level of significance, there is not
enough evidence to support that the
proportion of American parents, who believe
that virtual learning instead of in-person
learning widens the equity gap for students, is
more than 83% (the value from the earlier
poll)
O At the 10% level of significance, there is
enough evidence to support that the
proportion of American parents, who believe
that virtual learning instead of in-person
learning widens the equity gap for students, is
more than 83% (the value from the earlier
poll).
O At the 10% level of significance, there is not
enough evidence to support that the
Transcribed Image Text:A poll in June 2020 found that 83% of American parents believe that virtual learning instead of in- person learning widens the equity gap for students. A later poll in October 2020 asked 1025 American parents if they believe virtual learning instead of in- person learning widens the equity gap for students, and found that 820 believe that yes, virtual learning instead of in-person learning widens the equity gap for students. Does this mean that the proportion of American parents, who believe that virtual learning instead of in-person learning widens the equity gap for students, has decreased? Test at the 10% significance level. State the hypotheses. Но: р (? На: р (? Calculate the sample proportion. Round to four decimal places. Calculate the test statistic. Round to two decimal places. Z = Find the p-value. Give to four decimal places. p-value = State your decision. Since the p-value is less than 0.1, fail to reject Ho. Since the p-value is less than 0.1, reject Ho. | Since the p-value is greater than 0.1, fail to reject Ho. O Since the p-value is greater than 0.1, reject Но- Interpret the results. O At the 10% level of significance, there is not enough evidence to support that the proportion of American parents, who believe that virtual learning instead of in-person learning widens the equity gap for students, is more than 83% (the value from the earlier poll) O At the 10% level of significance, there is enough evidence to support that the proportion of American parents, who believe that virtual learning instead of in-person learning widens the equity gap for students, is more than 83% (the value from the earlier poll). O At the 10% level of significance, there is not enough evidence to support that the
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