Question

In: Statistics and Probability

• E2 A market survey is given to 1000 people. One of the questions concerns whether...

• E2 A market survey is given to 1000 people.

One of the questions concerns whether the person recognizes the brand name X.

It is known that roughly 60% of people respond “yes” though this varies to some extent over time, and one of the purposes of the survey is to monitor this.

a) How many of the 1000 people would you expect to recognize brand X? Your answer should not be a single number!

b) Based on your answer to (a), how uncertain and unreliable is the proportion of people who recognize brand X?

c) If a particular survey gave the result of 62% recognition and then a month later the proportion had dropped to 57%, would you be convinced that brand recognition is really decreasing?

• E3 You survey 500 customers on whether or not they recognize your brand.

On the basis of historical norms you expect 35% or 175 to recognize your brand. But you have been spending more money than usual on advertising. How many more than 175 would start to convince you that the extra money had been worth the expense?

Solutions

Expert Solution


Related Solutions

In a survey regarding an upcoming presidential primary, 1000 people were asked whether or not they...
In a survey regarding an upcoming presidential primary, 1000 people were asked whether or not they favor a particular candidate. 214 of the respondents indicated that they favor the candidate. Form a 95% confidence interval for the proportion of voters who favor the candidate.
3. a. A survey of 1000 U.S. adults found that 34% of people said that they...
3. a. A survey of 1000 U.S. adults found that 34% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 90% confidence interval of the true proportion. ROUND TO FIVE DECIMAL PLACES b. In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 129 cars, 23 had manual transmissions. Estimate...
In a survey of 1000 people, 700 said that they voted in a recent presidential election....
In a survey of 1000 people, 700 said that they voted in a recent presidential election. Voting records show that 61% of eligible voters actually did vote. Construct a 96% confidence interval estimate of the proportion of people who say that voted.
12-E2.  A survey of 1547 customers involved several questions that required yes/no answers. The surveys were administered...
12-E2.  A survey of 1547 customers involved several questions that required yes/no answers. The surveys were administered by 6 different interviewers. The results below relate to the question "I think that luxury cars are not worth the money." Interviewer 1 2 3 4 5 6 Agree 38 60 14 102 68 65 Disagree 127 221 102 323 202 225 How much evidence is there that interviewer 3 is different from the other5 treated collectively? Would it be reasonable to combine the...
A survey asked 1000 randomly selected recently retired people how many people, including themselves, are in...
A survey asked 1000 randomly selected recently retired people how many people, including themselves, are in a family tree that begins with their parents. Let X represent the number of people. The table below shows the probability distribution of the data. Find the mean and the standard deviation of the probability distribution using Excel. x   P(x) 1   0.001 2   0.001 3   0.005 4   0.016 5   0.012 6   0.018 7   0.039 8   0.046 9   0.056 10   0.059 11   0.057 12   0.068...
Consider the market for soybeans. The market demand is given by the equation P = 1000...
Consider the market for soybeans. The market demand is given by the equation P = 1000 – 2Q, where, P is the price and Q is the quantity. The market supply is given by the equation P = 200 + 2Q. For each of the following questions please show the steps through your final answer and not just your final answer. 1) Plot the supply and demand curves (Hint: start with P = 200, 300, 400, ... 1000 to calculate...
One of the concerns of labor economists is that in economic recessions, older people may be...
One of the concerns of labor economists is that in economic recessions, older people may be more likely to be laid off than workers under the age of 40. Federal and state laws prohibit this from happening, but does it anyway? The Federal government collects data on what they call “reductions in force” (RFI); for a recent company that experienced a layoff, 42 of the 50 employees who were “released” were over 40 while 764 of the 1267 who were...
Questions A - F A recent survey of 1000 American women between the ages of 45...
Questions A - F A recent survey of 1000 American women between the ages of 45 and 64 asked them what medical condition they most feared. Of those sampled 61% said breast cancer, 8% said heart disease, and the rest picked other conditions. By contrast, currently about 3% of female deaths are due to breast cancer, whereas 32% are due to heart disease. A. Construct a 95% confidence interval for the population proportion of women who most feared breast cancer....
1. A survey of 1000 drivers found that 29% of the people send text messages while...
1. A survey of 1000 drivers found that 29% of the people send text messages while driving. Last year, a survey of 1000 drivers found that 17% of those sent text messages while driving. (Show your work without using software to solve) a. Give a 95% confidence interval for the increase in text messaging while driving. b. At α = .05, can we conclude that there has been an increase in the number of drivers who text while driving? State...
In a survey of 3135 adults in a​ nation, a poll asked people whether they smoked...
In a survey of 3135 adults in a​ nation, a poll asked people whether they smoked cigarettes and whether they always wear a seat belt in a car. The table available below shows the results of the survey. For each​ activity, we define a success as finding an individual who participates in the hazardous activity. Complete parts​ (a) and​ (b) below. LOADING... Click the icon to view the survey results. ​(a) Why is this a dependent​ sample? A. This is...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT