Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total v
1 answer:
Answer:
Step-by-step explanation:
Given that
We have coefficient of determination
=90.63%
This implies that nearly 91% of variation in change in dependent variable is due to the change in x.
The coefficient of determination is the square of the correlation (r) between predicted y scores and actual y scores; thus, it ranges from 0 to 1.
An R2 of 0 means that the dependent variable cannot be predicted from the independent variable.
An R2 of 1 means the dependent variable can be predicted without error from the independent variable.
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Answer:
Null and alternative hypothesis
Test statistic
P-value
The null hypothesis is rejected.
It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.
Step-by-step explanation:
We have to perform a hypothesis test of a proportion.
The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:
The signifiance level is 0.01.
The sample has a proportion p=0.1 and sample size of n=6000.
The standard deviation of the proportion, needed to calculate the test statistic, is:
The test statistic is calculated as:
As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.
Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.