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jasminali7956
21.05.2020 •
Mathematics
In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6967 subjects randomly selected from an online group involved with ears. There were 1331 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
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Ответ:
Now we can find the p value using the alternative hypothesis and with the following probability:
We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than 20% at 1% of significance
Step-by-step explanation:
Information given
n=6967 represent the random sample selected
X=1331 represent the surveys returned
tex]p_o=0.2[/tex] is the value to verify
z would represent the statistic
System of hypothesis
We test the claim that the return rate is less than 20%, then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
Replacing the info given we got:
Now we can find the p value using the alternative hypothesis and with the following probability:
We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than 20% at 1% of significance
Ответ:
D
Step-by-step explanation:
Try to draw the X and Y axis: When you shift the function to left it translates as going to the left of the X axis. So what you want is that every value of X on the parent function to correspond to the same x value minus four.
You can apply the same logic to get the + 6