Check My Wor The Food Marketing Institute shows that 15% of households spend more than $100 per week on groceries. Assume the population proportion is p-0.15 and a sample of 800 househo will be selected from the population. Use z-table. a. Calculate σ(P), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals). b. What is the probability that the sample proportion will be within /-0.02 of the population proportion (to 4 decimals)? c. What is the probability that the sample proportion will be within +/-0.02 of the population proportion for a sample of 1,800 households (to 4 decimals)?

Question
Check My Wor
The Food Marketing Institute shows that 15% of households spend more than $100 per week on groceries. Assume the population proportion is p-0.15 and a sample of 800 househo
will be selected from the population. Use z-table.
a. Calculate σ(P), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals).
b. What is the probability that the sample proportion will be within /-0.02 of the population proportion (to 4 decimals)?
c. What is the probability that the sample proportion will be within +/-0.02 of the population proportion for a sample of 1,800 households (to 4 decimals)?
View transcribed image text
Expand

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Number 5 Please, Explain shortcut with TI84 if applicable

A: Given claim that average age of scion driver = 26Null hypothesis H0 : µ = 26Alternative hypothesis  ...

Q: Find the standard deviation for the group of data items. 5,5,5,5,7,9 ​(Simplify your answer. Rou...

A: Solution:Computation of standard deviation:Standard deviation for the group of data items is calcula...

Q: Listed below are amounts of arsenic in samples of brown rice from three different states. The amount...

A: Solution:Null and alternative hypotheses:Null hypothesis: µ1 = µ2 = µ3Alternative hypothesis: µ1 ≠ µ...

Q: Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for ...

A: Hey, since there are multiple subpart questions posted, we will answer first three subparts. If you ...

Q: What’s the mean annual return of the S&P 400 Midcap Index over the past 7 years?  What’s the sta...

A: Hello there! there are more than three sub parts in the given question. According to our policies we...

Q: Hi. I need help with part (c) only. Consider the accompanying 2 × 3 table displaying the sample prop...

A: Let us assume the total sample size be n. Writing the given proportions as number of people we get a...

Q: The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate co...

A: Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three su...

Q: Two dice are rolled.  Find the probability of getting A. A sum of 5,6,7 B. Doubles or sum of 6 or 8 ...

A: Sample space for rolling two dice:It is given that two dice are rolled. The number of possible outco...

Q: Statistics Question

A: According to the provided information, the variable ‘x’ be age of the best actress winner and ‘y’ be...

Q: You draw and keep a single coin from a bowl that contains 12 pennies, 9 dimes, and 20 quarters. What...

A: The given information is that the bowl contains the12 pennies, 9 dimes, and 20 quarters.It is known ...

Q: The results of a pre-test and a post-test for ten students is given below. Is there a significant di...

A: Denote µd as the median difference for post and pre-test.Hypotheses:Null hypothesis: The median diff...

Q: For frecuency distribution for us governor 2019.  Party.                     Frequency Democratic.  ...

A: For any event A, the probability of A can be found as follows:

Q: Imagine that the data from the 27 people did not meet the assumptions of correlation and no transfor...

A: It is provided that, the sample size (n) = 27, the Spearman correlation coefficient (rs) = 0.4.To te...

Q: Records over the past year show that 1 out of 355 loans made by Mammon Bank have defaulted. Find the...

A: Given that over past year 1 out of 355 loans made by Mammon bank have defaulted.Here it is appropria...

Q: how do I compute six deviations (x scores are [0,1,1,1,2,7,]) from the mean (x-m), and list these si...

A: Solution:Calculation of mean:The mean of X scores is calculated as follows.

Q: A conservation biologist is working on increasing population sizes of the silver-leaf lupine (Lupinu...

A: Solution:a) Effects of ANOVA:It is given that three different treatments assigned to different seeds...

Q: A contingency table for injuries in the United states, by circumstances and gender, is a follows. Fr...

A: Calculation for part (a):The contingency table is given for injuries.For any event A, the probabilit...

Q: Listed below are the amounts of mercury​ (in parts per​ million, or​ ppm) found in tuna sushi sample...

A: In this question, we have the data of amount of mercury in tuna sushi stores using the data we have ...

Q: M Asigmnt Ose ook St hx Ch S g The D x4 ttp/ww.asignnet/wbudentsignment-Responses/subithdep-21213790...

A: Box and whisker plot:A type of graph used to display patterns of quantitative data is called a boxpl...

Q: A real estate agent believes that the value of houses in the neighborhood she works in has increased...

A: It is given that the alterative hypothesis is as follows: Ha : µd > 0, the t test statistic is 7....

Q: What happens to the variance when outliers are eliminated replaced by values closer to the mean

A: Introduction:Mean:Mean is an important measure of center when the data is quantitative. Mean of a da...

Q: 12.10. Question attached. Thank you for answering my question!

A: Bonferrroni's formula for half-width is given by the formula shown below where I = number of means (...

Q: A university dean of students wishes to estimate the average number of hours students wish to spend ...

A: The formula for the sample size is as follows:

Q: For T-tests on related measures, my number of subjects is odd. How do I calculate the differential i...

A: In such cases, you can turn to  Repeated measures ANOVA which can detect differences in mean scores ...

Q: It is thought that prehistoric Indians did not take their best tools, pottery, and household items w...

A: Given data obtained for a collection of archeological sites in New Mexico as shown below. The least ...

Q: See the attached question.

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials, s...

Q: If the probability for an event E is P(E)=0.4, then what are the odds against E?

A: Odds against an event:The odds against an event is given by the ratio of the probability of the even...

Q: A, B, C

A: In this question we have given a data of 10 sample observation based on that data we have to find co...

Q: Natasha is a physician looking to determine whether a supplement is effective in helping men lose we...

A: Test statistic results:For testing whether a supplement is effective in helping men lose weight or n...

Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organ...

A: Let X be the random variable, defined as the oxygen demand.Here, X follows normal distribution with ...

Q: (c) In 1997, the U.S. population was approximately 266,570,000 people. At the rate of 440 prisoners ...

A: Given number of prisoners for 100,000 population = 440Rate of prisoners = 440/100,000U S population ...

Q: The point on a normal distribution (mean equals 6 and standard deviation equals 9) that is greater t...

A: The given information is that the scores distributed normally with mean 6 and standard deviation 9.F...

Q: The following joint probability distribution summarize the doctoral degrees conferred in the social ...

A: In this question, a table has given to us which shows the joint probability distribution, based on w...

Q: A normal distribution has a mean of 10 and a standard deviation of 10. What is the number such that ...

A: The given information is that the scores distributed normally with mean 10 and variance is 49. The s...

Q: Zar (1999) describes an experiment in which 13 people with hemophilia were random oTeceve drug B and...

A: NOTE:Hi, the posted question is based on the data of haemophilia, but in part (a) it is asked to fin...

Q: Number 40 A B C

A: (a) Computation of probability that a randomly selected car will get through Wendy’s drive through i...

Q: I need help understanding observational units, variables, how to formulate research questions.

A: Solution:Observational units:Observational units are the objects or entities on which information co...

Q: Consider the following multiple regression model :          y hat = -6.72 + 0.51x1 - 0.69x2 + 1.452x...

A: The given multiple regression model is as follows:

Q: Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of ...

A: Hello there! There are more than three sub parts in the given quesiton. According to our policies ca...

Q: How to determine Estimate the P-value.

A: Introduction:P-value: The P-value is the probability of obtaining a test statistic value as extreme ...

Q: The data 17.7 33.5 26.3 22.9 21.4 e 28.9 24.2 18.3 27.9 21.2 19.2 22.121.6 37.7 37.4 presents the bo...

A: Frequency distribution:Frequency of an interval is the number observations that fall in that interva...

Q: . A tire manufacturer claims that the mean life of a certain type of tire is more than 30,000 miles....

A: The claim is provided as that the mean,   life of a certain type of tire is more than 30,000 miles.a...

Q: Students were​ asked, "How stressed have you been in the last​ week, on a scale of 0 to​ 10, with 0 ...

A: Histogram:Histogram is a bar graph that represents a frequency distribution.

Q: Use this for 11-12: A student club consists of 10 girls and 10 guys. A committee of 8 is to be selec...

A: Combination Rule:A combination is a selection of all or part of a set of objects, without regard to ...

Q: Fuming because you are stuck in traffic? Roadway congestion is a costly item, both in time wasted an...

A: (a)The scatter diagram for the provided data can be plotted using Excel.The steps are given below:En...

Q: Vocabulary for these terms • correlation • scatterplot • positive correlation • negative correlation...

A: Correlation: It is the linear relationship between the two variables. Scatterplot: It is the graph t...

Q: The flow in a river can be modeled as a log-normal distribution. From the data, it was estimated tha...

A: According to the given question, the flow in a river can be modeled as a log-normal distribution. Fr...

Q: The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, ...

A: It is given that the match boxes are supposed to have an average of 40 matches per box with σ = 7. A...

Q: This study investigated the cognitive effects of stimulant medication in children with Attention-Def...

A: Solution:The appropriate statistical analysis to determine if there is an effect of drug dose on CPT...

Q: On a test, 95% of the questions are answered correctly.  If 57 questions are correct, how many quest...

A: The aim is to find the number of questions on the test.Here, the number of question answered correct...

Transcribed Image Text

Check My Wor The Food Marketing Institute shows that 15% of households spend more than $100 per week on groceries. Assume the population proportion is p-0.15 and a sample of 800 househo will be selected from the population. Use z-table. a. Calculate σ(P), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals). b. What is the probability that the sample proportion will be within /-0.02 of the population proportion (to 4 decimals)? c. What is the probability that the sample proportion will be within +/-0.02 of the population proportion for a sample of 1,800 households (to 4 decimals)?