It is believed that the percent of convicted felons who have a history of juvenile delinquency is 70%. Isthere evidence to support the claim that the actual percentage is more than 70% if out of 200 convictedfelons, we find that 154 have a history of juvenile delinquency? Set the level of significance at � = 0.05a) Write the null and alternative hypotheses.b) Check the conditions to conduct the hypothesis test for the population proportion.c) Find the z test statistic and the p-value.d) Sketch the z curve indicating the z test statistic and the p-value.e) Should you reject or fail to reject the null hypothesis based on the p-value obtained in the previous part?Why?f) State your conclusion from the test.
It is believed that the percent of convicted felons who have a history of juvenile delinquency is 70%. Is
there evidence to support the claim that the actual percentage is more than 70% if out of 200 convicted
felons, we find that 154 have a history of juvenile delinquency? Set the level of significance at � = 0.05
a) Write the null and alternative hypotheses.
b) Check the conditions to conduct the hypothesis test for the population proportion.
c) Find the z test statistic and the p-value.
d) Sketch the z curve indicating the z test statistic and the p-value.
e) Should you reject or fail to reject the null hypothesis based on the p-value obtained in the previous part?
Why?
f) State your conclusion from the test.
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