Cable TV choices: A telecommunications company provided its cable TV subscribers with free access to a new sports channel for a period of 1 month. It then chose a sample of 385 television viewers and asked them whether they would be willing to pay an extra $10 per month to continue to access the channel. A total of 29 of the 385 replied that they would be willing to pay. The marketing director of the company claims that less than 8% of all its subscribers would pay for the channel. Can you conclude that the director's claim is true? Use the a= 0.05 level of significance and the P-value method with the table. Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho p = 0.08 H₁: p<0.08 This hypothesis test is a left-tailed ▼ test. Part: 1 / 4 Part 2 of 4 P-value= Part: 2 / 4 Part 3 of 4 (b) Compute the P-value. Round the answer to at least four decimal places. (c) Determine whether to reject Ho. (Choose one) the null hypothesis Ho. Part: 3 / 4 X Part 4 of 4 0<0 X 0#0 X O

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Cable TV choices: A telecommunications company provided its cable TV subscribers with free access to a new sports
channel for a period of 1 month. It then chose a sample of 385 television viewers and asked them whether they would be
willing to pay an extra $10 per month to continue to access the channel. A total of 29 of the 385 replied that they would be
willing to pay. The marketing director of the company claims that less than 8% of all its subscribers would pay for the
channel. Can you conclude that the director's claim is true? Use the a= 0.05 level of significance and the P-value method
with the table.
Part 1 of 4
(a) State the appropriate null and alternate hypotheses.
Ho p = 0.08
:
H₁:
p < 0.08
This hypothesis test is a left-tailed
Part: 1 / 4
Part 2 of 4
P-value=
Part: 2 / 4
Part 3 of 4
(b) Compute the P-value. Round the answer to at least four decimal places.
(c) Determine whether to reject Ho.
(Choose one) the null hypothesis Ho.
Part: 3 / 4
x
Part 4 of 4
test.
O<O O>0
X
☐#0
X
р
0=0
5
(d) State a conclusion.
There (Choose one) enough evidence to conclude that less than 8% of all its
subscribers would pay for the channel.
X
Ś
Transcribed Image Text:Cable TV choices: A telecommunications company provided its cable TV subscribers with free access to a new sports channel for a period of 1 month. It then chose a sample of 385 television viewers and asked them whether they would be willing to pay an extra $10 per month to continue to access the channel. A total of 29 of the 385 replied that they would be willing to pay. The marketing director of the company claims that less than 8% of all its subscribers would pay for the channel. Can you conclude that the director's claim is true? Use the a= 0.05 level of significance and the P-value method with the table. Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho p = 0.08 : H₁: p < 0.08 This hypothesis test is a left-tailed Part: 1 / 4 Part 2 of 4 P-value= Part: 2 / 4 Part 3 of 4 (b) Compute the P-value. Round the answer to at least four decimal places. (c) Determine whether to reject Ho. (Choose one) the null hypothesis Ho. Part: 3 / 4 x Part 4 of 4 test. O<O O>0 X ☐#0 X р 0=0 5 (d) State a conclusion. There (Choose one) enough evidence to conclude that less than 8% of all its subscribers would pay for the channel. X Ś
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