In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded. Commercial A Commercial B Number Who Saw Commercial 155 204 Number Who Recalled Message 64 63 Use 0c = .05 and test the hypothesis that there is no difference in the recall proportions for the two commercials. Compute a 95% confidence interval for the difference between the recall proportions for the two populations (to 4 decimals).
Added by Christopher W.
Step 1
Null hypothesis (H0): There is no difference in the recall proportions for the two commercials, i.e., p_A = p_B. Alternative hypothesis (H1): There is a difference in the recall proportions for the two commercials, i.e., p_A ≠ p_B. Show more…
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In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week, a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded: Commercial A: - Number of people who saw the commercial: 155 - Number of people who recalled the message: 64 Commercial B: - Number of people who saw the commercial: 204 - Number of people who recalled the message: 63 Using a significance level of 0.05, we will test the hypothesis that there is no difference in the recall proportions for the two commercials. What is the value of the test statistic (to 2 decimal places)? What is the p-value (to 4 decimal places)? Compute a 95% confidence interval for the difference between the recall proportions for the two populations (to 4 decimal places).
Dominador T.
In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded. $$\begin{array}{lcc} & \text { Commercial A } & \text { Commercial B } \\ \text { Number Who Saw Commercial } & 150 & 200 \\ \text { Number Who Recalled Message } & 63 & 60\end{array}$$ a. Use $\alpha=.05$ and test the hypothesis that there is no difference in the recall pr for the two commercials. b. Compute a $95 \%$ confidence interval for the difference between the recall pr
In a test of the quality of two television commercials, each commercial was shown in a separate test area six times over a one-week period. The following week a telephone survey was conducted to identify individuals who had seen the commercials. Those individuals were asked to state the primary message in the commercials. The following results were recorded: Commercial A Commercial B Number Who Saw Commercial 145 195 Number Who Recalled Message 61 57 Use α = .05 and test the hypothesis that there is no difference in the recall proportions for the two commercials. Formulate the null and the alternative hypotheses. H0 : p1 - p2 equal to 0 Ha : p1 - p2 not equal to 0 What is the value of the test statistic (to 2 decimals)? What is the p-value (to 4 decimals)? Does there appear to be a difference in recall proportions for the two commercials? Yes Compute a 95% confidence interval for the difference between the recall proportions for the two populations (to 4 decimals). It appears that Commercial A has a better recall rate.
Madhur L.
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