A telecommunications company provided its cable TV subscribers with free access to a new sports channel for a period of one month. It then chose a sample of 400 television viewers and asked them whether they would be willing to pay an extra $10 per month to access the channel. A total of 25 of the 400 replied that they would be willing to pay. The marketing director of the company claims that more than 5% of all its subscribers would pay for the channel. Can you conclude that the director's claim is true. Use a 1% level of significance.
7. A telecommunications company provided its
cable TV subscribers with free access to a new
sports channel for a period of one month. It then
chose a sample of 400 television viewers and
asked them whether they would be willing to pay
an extra $10 per month to access the channel. A
total of 25 of the 400 replied that they would be
willing to pay. The marketing director of the
company claims that more than 5% of all its
subscribers would pay for the channel. Can you
conclude that the director's claim is true. Use a
1% level of significance.
State the null and alternate hypotheses:
Which type of hypothesis test should be run?
a. 1-Proportion Z-Test
b. 2-Proportion Z-Test
c. T-Test
d. 2-Sample T-Test (pooled)
e. 2-Sample T-Test (not pooled)
f. Paired T-Test
State the Test statistic =
State the P-Value =
Decision:
a. Since P>α, do not reject H0
b. Since P>α, reject H0
c. Since P<α, do not reject H0
d. Since P<α, reject H0
Conclusion: (choose letter of appropriate wording
for the first half of the sentence)
a. The data does not provide sufficient evidence
to show that…
b. The data seems to suggest that…
c. The data strongly suggests that…
Choose the appropriate wording for the second half
of the sentence (you must get question 6 correct
to receive credit for this problem):
a. more than 5% of all its subscribers would pay
for the channel
b. more than 5% of all its subscribers would not
pay for the channel
Construct and interpret a 95% confidence interval
estimate for the proportion of subscribers that
would pay for the channel.
I need to know how to do this on a Ti84
Thank you
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