early in 2018 a political report indicated that 75% of Americans disapprove of their job Congress is doing and a poll of a thousand Americans during the late summer of 2018 by NBC News 780 said they disapprove the job Congress is doing is there any evidence to suggest that the proportion of Americans who disapprove of the job Congress is doing has increased use significance level Alpha equals 0 01. Determine the values of the sample portion P test statistic Z and P value
Added by Miguel -Ngel L.
Step 1
75) to the observed proportion in the poll (0.78), we will conduct a hypothesis test for a proportion. We will use a significance level of α = 0.01. Show more…
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Approval Rating for Congress In a Gallup poll $^{51}$ conducted in December 2015 , a random sample of $n=824$ American adults were asked "Do you approve or disapprove of the way Congress is handling its job?" The proportion who said they approve is $\hat{p}=0.13,$ and a $95 \%$ confidence interval for Congressional job approval is 0.107 to 0.153 . If we use a 5\% significance level, what is the conclusion if we are: (a) Testing to see if there is evidence that the job approval rating is different than $14 \%$. (This happens to be the average sample approval rating from the six months prior to this poll.) (b) Testing to see if there is evidence that the job approval rating is different than $9 \%$. (This happens to be the lowest sample Congressional approval rating Gallup ever recorded through the time of the poll.)
Hypothesis Tests
Making Connections
n 2005, 20% of all U.S. adults said that they had confidence in the U.S. Congress to work in the best interest of the people of the United States. Suppose that in 2015, in a random sample of 145 U.S. adults, 21 reported that they had confidence in the U.S. Congress to work in the best interest of the people of the United States Does the sample provide evidence that the proportion of U.S. adults in 2015 who hold this view has decreased since 2005? Test this claim at the 5% significance level. Let p be the proportion of U.S. adults in 2015 who have confidence in the U.S. Congress. What is the standardized test statistic? Round to two decimal places.
David N.
In 2005, 20% of all U.S. adults said that they had confidence in the U.S. Congress to work in the best interest of the people of the United States. Suppose that in 2015, in a random sample of 145 U.S. adults, 21 reported that they had confidence in the U.S. Congress to work in the best interest of the people of the United States Does the sample provide evidence that the proportion of U.S. adults in 2015 who hold this view has decreased since 2005? Test this claim at the 5% significance level. Let p be the proportion of U.S. adults in 2015 who have confidence in the U.S. Congress. What is the standardized test statistic
Marc L.
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