Ages of cable TV shoppers. Refer to the International

Chapter 8, Problem 103SE

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QUESTION:

Ages of cable TV shoppers. Refer to the International Association for Time Use Research study on cable TV viewers who purchase items from one of the home shopping channels, Exercise 7.142 (p. 412). The 1,600 sampled viewers described their motivation for watching cable TV shopping networks by giving their level of agreement (on a 5-point scale, where 1 = strongly disagree and 5 = strongly agree) with the statement, “I have nothing else to do.” The researcher wanted to compare the mean responses of viewers who watch the shopping network at noon with those viewers who do not watch at noon.

a. Give the null and alternative hypotheses for determining whether the mean response of noontime watchers differs from the mean response of non-noontime watchers.

b. The researcher found the p-value for the test, part a, to be .02. Interpret this result, assuming \(\alpha=.05\).

c. Interpret the result, part b, assuming \(\alpha=.01\).

d. The sample means for noontime watchers and non-watchers were found to be 3.3 and 3.4, respectively. Comment on the practical significance of this result.

Questions & Answers

QUESTION:

Ages of cable TV shoppers. Refer to the International Association for Time Use Research study on cable TV viewers who purchase items from one of the home shopping channels, Exercise 7.142 (p. 412). The 1,600 sampled viewers described their motivation for watching cable TV shopping networks by giving their level of agreement (on a 5-point scale, where 1 = strongly disagree and 5 = strongly agree) with the statement, “I have nothing else to do.” The researcher wanted to compare the mean responses of viewers who watch the shopping network at noon with those viewers who do not watch at noon.

a. Give the null and alternative hypotheses for determining whether the mean response of noontime watchers differs from the mean response of non-noontime watchers.

b. The researcher found the p-value for the test, part a, to be .02. Interpret this result, assuming \(\alpha=.05\).

c. Interpret the result, part b, assuming \(\alpha=.01\).

d. The sample means for noontime watchers and non-watchers were found to be 3.3 and 3.4, respectively. Comment on the practical significance of this result.

ANSWER:

Step 1 of 4

A sampled 1600 viewers who purchases items from one of the home shopping channels,

a)  To determine whether the mean response rate of noontime time watchers differs

from the mean response rate of non-noontime time watchers, we need to give the

null and alternative hypotheses.

To test the difference, the null and alternative hypotheses are defined as follows:

\(\mathrm{H}_{0}: \mu_{1}=\mu_{2}\) That is there is no significance difference between mean response

rate of noontime watchers and the mean response rate of non-noontime time

watchers.

\(\mathrm{H}_{\mathrm{a}}: \mu_{1} \neq \mu_{2}\) That is there is a significance difference between mean response rate

of noontime watchers and the mean response rate of non-noontime time watchers.

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