Last year, television station WXYZ's share of the 11 P.M. news audience was approximately equal to, but no greater than, 25 percent. The station's management believes that the current audience share is higher than last year's 25 percent share. In an attempt to substantiate this belief, the station surveyed a random sample of 400 11 P.M. news viewers and found that 146 watched WXYZ. A. Use the critical value and the p-value approaches to test the hypotheses of the station's claim that the current audience share for WXYZ is higher than last year's 25 percent share at the 0.1, 0.05, 0.01 and 0.001 levels of significance. B. Based on your results in part a, how much evidence is there that the current audience share is higher than last year's 25 percent share? C. Do you think that the result of the station's survey has practical importance? Why or why not?
Last year, television station WXYZ's share of the 11 P.M. news audience was approximately equal to, but no greater than, 25 percent. The station's management believes that the current audience share is higher than last year's 25 percent share. In an attempt to substantiate this belief, the station surveyed a random sample of 400 11 P.M. news viewers and found that 146 watched WXYZ. A. Use the critical value and the p-value approaches to test the hypotheses of the station's claim that the current audience share for WXYZ is higher than last year's 25 percent share at the 0.1, 0.05, 0.01 and 0.001 levels of significance. B. Based on your results in part a, how much evidence is there that the current audience share is higher than last year's 25 percent share? C. Do you think that the result of the station's survey has practical importance? Why or why not?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Transcribed Image Text:Last year, television station WXYZ's share of the 11 P.M. news audience was
approximately equal to, but no greater than, 25 percent. The station's
management believes that the current audience share is higher than last
year's 25 percent share. In an attempt to substantiate this belief, the station
surveyed a random sample of 400 11 P.M. news viewers and found that 146
watched WXYZ.
A. Use the critical value and the p-value approaches to test the
hypotheses of the station's claim that the current audience share for
WXYZ is higher than last year's 25 percent share at the 0.1, 0.05, 0.01
and 0.001 levels of significance.
B. Based on your results in part a, how much evidence is there that the
current audience share is higher than last year's 25 percent share?
C. Do you think that the result of the station's survey has practical
importance? Why or why not?
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I managed to figure out most of it, but I have been presented with a few questions that I could not figure out. First, I am having issues deciphering the P^ value. Second , I am having an issue determining the sample portion? and I need assistance. The number that I came up with is not the correct number.
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.001; Reject
HO at all given values of a
(d) Do you think that the result of the station's survey has practical importance? (Round the
sample proportion to 3 decimal places.)
The sample proportion of
is significantly
higher
than 25.
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