poll in June 2020 found that 81% 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 1081 American parents if they believe virtual learning instead of in-person learning widens the equity gap for students, and found that 822 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 1% significance level.
A poll in June 2020 found that 81% 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 1081 American parents if they believe virtual learning instead of in-person learning widens the equity gap for students, and found that 822 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 1% significance level.
hypotheses:
H0: p ≥ 0.81
HA: p < 0.81
Calculate the sample proportion. Round to four decimal places.
p̂ = ____
Calculate the test statistic. Round to two decimal places.
z = ____
Find the p-value. Give to four decimal places.
p-value = _____
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