Students in a high school statistics class are investigating the proportion of times a Hershey's Kiss would land flat on the base when tossed in the air. Some students think the proportion is less than 50% and some think the proportion is greater than 50%. To test this claim, the students tossed 80 Hershey's Kisses and determined the proportion of kisses that landed flat on the base. The resulting P-value is 0.0736. What conclusion would you make for the given significance test levels? For both a = 0.01 and a = 0.05, we would fail to reject Ho. There is not convincing evidence the proportion of times the Hershey's Kiss will land flat on the base is different than 0.50 at either significance level. For only a = 0.05 we would reject Ho. There is convincing evidence the proportion of times the Hershey's Kiss will land flat on the base is different than 0.50 at a = 0.05, but not at a = 0.01 For both a = 0.01 and a = 0.05, we would reject Ho. There is convincing evidence the proportion of times the Hershey's Kiss will land flat on the base is different than 0.50 at both significance level For only a = 0.01 we would reject Ho. There is convincing evidence the proportion of times the Hershey's Kiss will land flat on the base is different than 0.50 at o -0 01 hIut not at N = O 05

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Chapter1: Combinatorial Analysis
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Students in a high school statistics class are
investigating the proportion of times a Hershey's Kiss
would land flat on the base when tossed in the air.
Some students think the proportion is less than 50%
and some think the proportion is greater than 50%.
To test this claim, the students tossed 80 Hershey's
Kisses and determined the proportion of kisses that
landed flat on the base. The resulting P-value is
0.0736. What conclusion would you make for the
given significance test levels?
For both a = 0.01 and a = 0.05, we
would fail to reject Ho. There is not
O convincing evidence the proportion of
times the Hershey's Kiss will land flat on
the base is different than 0.50 at either
significance level.
For only a = 0.05 we would reject Ho.
There is convincing evidence the
proportion of times the Hershey's Kiss will
land flat on the base is different than 0.50
at a = 0.05, but not at a = 0.01
For both a = 0.01 and a = 0.05, we
would reject Ho. There is convincing
evidence the proportion of times the
Hershey's Kiss will land flat on the base is
different than 0.50 at both significance
level
For only a = 0.01 we would reject Ho.
There is convincing evidence the
proportion of times the Hershey's Kiss will
land flat on the base is different than 0.50
at o = 0 01 but not at a = 0 05
|
Transcribed Image Text:Students in a high school statistics class are investigating the proportion of times a Hershey's Kiss would land flat on the base when tossed in the air. Some students think the proportion is less than 50% and some think the proportion is greater than 50%. To test this claim, the students tossed 80 Hershey's Kisses and determined the proportion of kisses that landed flat on the base. The resulting P-value is 0.0736. What conclusion would you make for the given significance test levels? For both a = 0.01 and a = 0.05, we would fail to reject Ho. There is not O convincing evidence the proportion of times the Hershey's Kiss will land flat on the base is different than 0.50 at either significance level. For only a = 0.05 we would reject Ho. There is convincing evidence the proportion of times the Hershey's Kiss will land flat on the base is different than 0.50 at a = 0.05, but not at a = 0.01 For both a = 0.01 and a = 0.05, we would reject Ho. There is convincing evidence the proportion of times the Hershey's Kiss will land flat on the base is different than 0.50 at both significance level For only a = 0.01 we would reject Ho. There is convincing evidence the proportion of times the Hershey's Kiss will land flat on the base is different than 0.50 at o = 0 01 but not at a = 0 05 |
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