Answer:
Now we can find the p value with the alternative hypothesis and using this probability:
Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47
Explanation:
Information given
n=631 represent the random sample selected
X=284 represent the people who said that they thought unemployment would increase
estimated proportion of people who said that they thought unemployment would increase
is the value that we want to test
represent the significance level
z would represent the statistic
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
Now we can find the p value with the alternative hypothesis and using this probability:
Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47