Different of Two Proportions Problem. A survey was done in 2022 and again in 2022. The survey asked respondents if they were willing to opt for ads to save money on streaming. We will focus on the proportion that "would rather save $4 or $5 per month and watch ads." The survey in each year are different respondents so they represent independent random samples. The data are given below. Year # Rather Save Total 2023 337 527 2022 344 603 Express the difference as p2023 - p2022 so the difference is positive. We will test to see if the proportion increased over time and use an alpha level of .05 Based on the information given, we should not use a Pooled Proportion for our test. Group of answer choices True False
Added by Chad I.
Step 1
- For 2023, the proportion of respondents who would rather save money and watch ads is \( p_{2023} = \frac{337}{527} \). - For 2022, the proportion of respondents who would rather save money and watch ads is \( p_{2022} = \frac{344}{603} \). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Aparna Shakti and 58 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
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 proportions for the two commercials. b. Compute a $95 \%$ confidence interval for the difference between the recall proportions for the two populations.
Two different independent random samples of consumers were asked about satisfaction with their computer system each in a slightly different way. The options available for answer were slightly different in the two cases. When asked how satisfied they were with their computer system, 138 of the first group of 240 sample members opted for "very satisfied." When the second group was asked how dissatisfied they were with their computer system, 128 of 240 sample members opted for very satisfied. Test, at the $5 \%$ significance level against the obvious one-sided alternative, the null hypothesis that the two population proportions are equal
3. In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked "In general, how much trust and confidence do you have in the mass media - such as newspapers, TV, and radio - when it comes to reporting the news fully, accurately, and fairly?" Of the 1,017 respondents, 214 said they had "no confidence at all." a). Test, at the 5% level, if this sample provides evidence that the proportion of U.S. adults who have no confidence in the media differs significantly from 25%. Verify that the sample size is large enough to use the normal distribution to compute the p-value for this test and include all of the details of the test. b). What sample size is needed to reduce the margin of error to 1%?
Madhur L.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD