In July of 2013, Australians were asked if they thought unemployment would increase, and 47% thought that it would increase. In November of 2013, they were asked again. At that time 214 out of 500 said that they thought unemployment would increase. At the 1% level, is there enough evidence to show that the proportion of Australians in November 2013 who believe unemployment would increase is lower than the proportion who felt it would increase in July 2013?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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In July of 2013, Australians were asked if they thought unemployment would increase, and 47% thought that it would increase. In November of 2013, they were asked again. At that time 214 out of 500 said that they thought unemployment would increase. At the 1% level, is there enough evidence to show that the proportion of Australians in November 2013 who believe unemployment would increase is lower than the proportion who felt it would increase in July 2013?

The conditions are met to use a Select an answer
T: TEST STATISTIC
The symbol and value of the random variable on this problem are as follows:
Leave this answer as a fraction.
Z=
?v=
The formula set up of the test statistic is as follows.:
(Leave any values that were given as fractions as fractions)
p - p
Z=
p(1-p)
n
=
Final answer for the test statistic from technology.
Round to 2 decimal places:
O: OBTAIN THE P-VALUE
P-value =
√
Report to 4 decimal places.
It is possible when rounded that a p-value is 0.0000
M: MAKE A DECISION
(1-
Since the p-value ? ✓
we Select an answer
Transcribed Image Text:The conditions are met to use a Select an answer T: TEST STATISTIC The symbol and value of the random variable on this problem are as follows: Leave this answer as a fraction. Z= ?v= The formula set up of the test statistic is as follows.: (Leave any values that were given as fractions as fractions) p - p Z= p(1-p) n = Final answer for the test statistic from technology. Round to 2 decimal places: O: OBTAIN THE P-VALUE P-value = √ Report to 4 decimal places. It is possible when rounded that a p-value is 0.0000 M: MAKE A DECISION (1- Since the p-value ? ✓ we Select an answer
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