tudents 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 sample proportion was p-hat = 0.4. A significance test is performed using the hypotheses ho p=.5 ha p (does not equal).5 where p = the true proportion of Kisses that would land flat on the base. The resulting P-value is 0.0736. What conclusion would you make for the given significance test levels? options For both alpha = 0.01 and alpha = 0.05, we would fail to reject H0. 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 alpha = 0.05 we would reject H0. There is convincing evidence the proportion of times the Hershey’s Kiss will land flat on the base is different than 0.50 at alpha = 0.05, but not at alpha = 0.01. For only alpha = 0.01 we would reject H0. There is convincing evidence the proportion of times the Hershey’s Kiss will land flat on the base is different than 0.50 at alpha = 0.01, but not at alpha = 0.05. For both alpha = 0.01 and alpha = 0.05, we would reject H0. 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.
tudents 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 sample proportion was p-hat = 0.4. A significance test is performed using the hypotheses
ho p=.5
ha p (does not equal).5
where p = the true proportion of Kisses that would land flat on the base. The resulting P-value is 0.0736. What conclusion would you make for the given significance test levels?
options
For both alpha = 0.01 and alpha = 0.05, we would fail to reject H0. 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 alpha = 0.05 we would reject H0. There is convincing evidence the proportion of times the Hershey’s Kiss will land flat on the base is different than 0.50 at alpha = 0.05, but not at alpha = 0.01.
For only alpha = 0.01 we would reject H0. There is convincing evidence the proportion of times the Hershey’s Kiss will land flat on the base is different than 0.50 at alpha = 0.01, but not at alpha = 0.05.
For both alpha = 0.01 and alpha = 0.05, we would reject H0. 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.
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