Answer:
Now we can find the p value. Since we have a bilateral test the p value would be:
Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
Do Not reject H0
Step-by-step explanation:
Information provided
n=200 represent the sample size slected
X=155 represent the cell phone owners used text messaging
estimated proportion of cell phone owners used text messaging
is the value to verify
represent the significance level
We need to conduct a z test for a proportion
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true proportion of cell phone owners used text messaging is different from 0.73 so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic to check this hypothesis is given by:
(1)
Replacing the data given we got:
Now we can find the p value. Since we have a bilateral test the p value would be:
Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
Do Not reject H0