2. Before the Champions Trophy 2017 (sorry for reminding the pain of the finals)

Question

2. Before the Champions Trophy 2017 (sorry for reminding the pain of the finals), ABC predicted that 22% of the Champions Trophy Tournament audience would express an interest in seeing one of its forthcoming new television shows, including ‘Fascinating Wins’ and ‘Super wickets’. ABC ran commercials for these TV shows during the Champions Trophy. The day after the Final Match, Intermediate Advertising Group sampled 1532 viewers who saw the commercials and found that 414 said that they would watch one of the ABC advertised shows

Suppose a sample of 40 Sharekhan employees showed a sample mean year-end bonus of Rs 1,18,000. Assume a population standard deviation of Rs 30,000 and compute the p-value.

With = .05 as the level of significance, what is your conclusion?

Repeat the preceding hypothesis test using the critical value approach

What is the point estimate of the proportion of the audience that said that they would watch the television shows after seeing the television commercials? Also calculate the interval estimate.

At = .05, determine whether the intent to watch the ABC television shows significantly increased after seeing the television commercials. Formulate the appropriate hypotheses , compute the p-value and state your conclusion.

Explanation / Answer

Below are the null and alternate hypothesis,

H0: p <= 0.22

H1: p > 0.22

pcap = 414/1532 = 0.2702

sigma = sqrt(0.22*(1-0.22)/1532) = 0.0106

Test statistics, z = (pcap - p)/sigma = (0.2702 - 0.22)/0.0106 = 4.7359

p-value < 0.000001

As p-value is less than significance level of 0.05, we reject the null hypothesis.

This means there is significant evidence to conclude that the intent to watch the ABC television shows significantly increased after seeing the television commercials

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.