Question

In: Statistics and Probability

A study showed that 62% of supermarket shoppers believe supermarket brands to be as good as...

A study showed that 62% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup.

b. If a sample of 100 shoppers showed 51 stating that the supermarket brand was as good as the national brand, what is the p-value (to 4 decimals)?

Solutions

Expert Solution

we use concept of testing for the sample proportion based on the value of population proportion and by CLT we assume normality of the distribution.

Depending on the p-value whether it is greater or less than the level of significance alpha (0.05 or 0.01) we reject or accept the null hypothesis and claim whether the proportion who believes that super market brand or national brand are equivalent is less than 62%.


Related Solutions

A study showed that 62% of supermarket shoppers believe supermarket brands to be as good as national name brands.
  A study showed that 62% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. (a) Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as...
A random sample of 725 shoppers showed that 621 remained loyal to their favorite brands during...
A random sample of 725 shoppers showed that 621 remained loyal to their favorite brands during the last year. Construct a 99% confidence interval for the proportion of shoppers that remain loyal to their favorite brands. What is the Point Estimate, Margin of Error, Lower Limit, Upper Limit, and how do you get these answers?
A study of the time spent shopping in a supermarket for 20 specific items showed an...
A study of the time spent shopping in a supermarket for 20 specific items showed an approximately uniform distribution between 20 minutes and 40 minutes. Bold a. What is the probability that the shopping time will be between 23 and 32 ​minutes? Bold b. What is the probability that the shopping time will be less than 35 ​minutes? Bold c. What are the mean and standard deviation of the shopping​ time? a. The probability that the shopping time will be...
What is the income distribution of super shoppers? A supermarket super shopper is defined as a...
What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars. Income range 5-15 15-25 25-35 35-45 45-55 55 or more Midpoint x...
What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a...
What is the age distribution of promotion-sensitive shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. Age range, years 18-28 29-39 40-50 51-61 62 and over Midpoint x 23 34 45 56 67 Percent of super shoppers 5% 48% 24% 10% 13% For the 62-and-over group, use the midpoint 67 years. (a) Using the age midpoints x and the percentage of super...
Supermarket shoppers were observed and questioned immediately after putting an item in their cart. Of a...
Supermarket shoppers were observed and questioned immediately after putting an item in their cart. Of a random sample of 290 choosing a product at the regular price, 210 claimed to check the price before putting the item in their cart. Of an independent random sample of 210 choosing a product at a special price, 161 made this claim. Find a 95% confidence interval for the difference between the two population proportions.
In a marketing survey, a random sample of 1055 supermarket shoppers revealed that 328 always stock...
In a marketing survey, a random sample of 1055 supermarket shoppers revealed that 328 always stock up on an item when they find that item at a bargain price. Construct a 90% confidence interval for the true percentage of supermarket shoppers that stock up on an item when they find it at a bargain price. Interpret your result. [
An news article claims that 62% of people believe in UFOs. A researcher does not believe...
An news article claims that 62% of people believe in UFOs. A researcher does not believe that this figure is accurate. He surveys 1000 people and finds that 580 of them believe in UFOs. Find the p-value for this hypothesis test. Round your answer to 4 decimal places.
Observe supermarket shoppers who use self-service checkout lanes, and compare the to those who use the...
Observe supermarket shoppers who use self-service checkout lanes, and compare the to those who use the services of a checker. What differences do you observe? How many of those conducting self-service scanning appear to run into difficulties, and how do they resolve the problems?
A random sample of 83 investment portfolios managed by Kendra showed that 62 of them met...
A random sample of 83 investment portfolios managed by Kendra showed that 62 of them met the targeted annual percent growth. Find a 99% confidence interval for the proportion of the portfolios meeting target goals managed by Kendra. a. Write the formula you will be using in the space below (1 point): b. Identify all corresponding values associated with your symbols in the space below (2 points) c. Plug in your values and show your work in the space below...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT