In a competition a school awarded medals i different categories, 36 medals in dance, 12 medals in dramatics and 18 medals in mus
2 answers:
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Answer:
.
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportions for this case are different so then there is enough evidence to conlcude that the real proportion change.
Step-by-step explanation:
Information provided
represent the number of people who answer abstainers in 1947
represent the number of people who answer abstainer recnetly
sample 1 selected
sample 2 selected
represent the proportion estimated of people who answer abstainers in 1947
represent the proportion estimated of people who answer abstainers recently
represent the pooled estimate of p
z would represent the statistic
represent the p value
significance level given
Hypothesis to test
We want to verify if the proportion of adult Americans who totally abstain from alcohol changed , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Where
Replacing the info given we got:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportions for this case are different so then there is enough evidence to conlcude that the real proportion change.
Answer:
Perpendicular.
Step-by-step explanation:
Since x is postive in one equation and negative in the other, it is an indicator that both x's go in different directions.
Here it is graphed:
