We are interested in comparing the percentage of females versus males who feel they are overweight....

We are interested in comparing the percentage of females versus males who feel they are overweight. The following data was collected:
1. What is the 95% confidence interval for the difference in proportion between women and men?
2. What is the test statistic?

Male or Female	Total Surveyed	Number who feel they are overweight
Female	146	32
Male	84	15

Solutions

Expert Solution

For female, we have the sample size is n₁= 146 , the number of favorable cases (number who feel they are overweight) is x₁=32, so then the sample proportion is

For male, we have the sample size is n₂ = 84 , the number of favorable cases (number who feel they are overweight) is x₂=15, so then the sample proportion is

The value of the pooled proportion is computed as

a) We need to construct the 95% confidence interval for the difference between population proportions p₁−p₂

The critical value for α=0.05 is z_c=1.96. The corresponding confidence interval is computed as shown below:

Test Statistics

The z-statistic is computed as follows:

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A recent study of high school students shows the percentage of females and males who have...

A recent study of high school students shows the percentage of females and males who have at LEAST one notation in their school record for inappropriate behavior. A simple random sample of high school students was interviewed. The students were asked whether they had a notation for inappropriate behavior in their school record. Of the 100 females, 21 answered yes, as did 145 of the 400 males. Part A: Construct and interpret a 99% confidence interval for the difference in...

A sociologist is interested in the voting rates of males and females. Two hundred males and...

A sociologist is interested in the voting rates of males and females. Two hundred males and two hundred females are randomly sampled. Of these, seventy percent of males and sixty percent of females voted in the last election. Construct a 95% confidence interval around the difference in the proportion of men and women in the population who voted in the last election. Test the null hypothesis that, in the population, there is no difference in the proportion of men and...

1. A sociologist is interested in the voting rates of males and females. Two hundred males...

1. A sociologist is interested in the voting rates of males and females. Two hundred males and two hundred females are randomly sampled. Of these, seventy percent of males and sixty percent of females voted in the last election. a. Construct a 95% confidence interval around the difference in the proportion of men and women in the population who voted in the last election. b. Interpret this interval. c. Test the null hypothesis that, in the population, there is no...

A researcher is interested in the amount of soda consumption for males and females compared to...

A researcher is interested in the amount of soda consumption for males and females compared to the population. Suppose that the researcher selects a sample of n = 36 male undergraduates and a sample of n = 25 female undergraduates. On average, males reported consuming M = 2.45 drinks per month, while females averaged M = 1.47 drinks per month. Assuming an overall average for undergraduates of μ= 1.85 drinks per month with a standard deviation σ=1.2, please answer the...

A study wants to compare the percentage of Facebook users between males and females in a...

A study wants to compare the percentage of Facebook users between males and females in a county. A sample of 95 males shows that 46 of them use Facebook. A sample of 90 females shows that 48 of them use Facebook. (a) What are the populations? (b) At α = 0.01 level of significance, is there evidence that the two population proportions are different? (c) Identify the type of error for your conclusion. If it is type I error, find...

Researchers believe that a higher percentage of males are afflicted with cysturina than females. Suppose of...

Researchers believe that a higher percentage of males are afflicted with cysturina than females. Suppose of the 50 individuals, 15 were females and the remainder were males. Using 99% confidence, estimate the proportion of females with cysturina. Then estimate the proportion of females afflicted with cysturina at 96% confidence.

In this exercise we are interested in comparing the proportion of those who support immigrant policy...

In this exercise we are interested in comparing the proportion of those who support immigrant policy reform among Hispanics and non-Hispanics. A poll found that out of 800 Hispanics 77% supported immigration reform and out of 900 non-Hispanics 64% supported immigration reform. Test the hypothesis that Hispanics are more likely to support immigration reform than non-Hispanics at alpha = 0.01.

A researcher is interested in studying if males and females have the same attitude toward abortion....

A researcher is interested in studying if males and females have the same attitude toward abortion. Attitude toward abortion is measured by a scale, ranging from 1 to 10. A high score indicates strong opposition to abortion under any circumstances. Descriptive statistics obtained from random samples of male and female populations are presented below. Male: Female: n1=11 n2=20 x1=6.2 x2=4.5 s1=1.6 s2=1.8 Test the hypothesis that there is a significant difference in average scores in attitude on abortion scale by...

Dr. Su is interested in whether males and females differ in their verbal ability. She selects...

Dr. Su is interested in whether males and females differ in their verbal ability. She selects 5 males and 5 females to participate in her study. She administers everyone a test of verbal ability (scores ranging between 0-20, higher scores represent higher ability). Here are the scores Males: 10, 10, 12, 12, 16 Females: 9, 12, 12, 15, 17 Set up non-directional hypotheses for the independent t-test. Provide the decision rule, illustrating with a drawing. Conduct an independent t-test, report...

For each age group, estimate the relative risk for measles for females versus males. Based upon...

For each age group, estimate the relative risk for measles for females versus males. Based upon your estimates, describe in one sentence what you might conclude regarding how age might factor into any potential association between sex and measles risk. Female 5 - 14 years = 4,577 30 - 49 years = 59 50 - 59 years = 11 Male 5 - 14 years = 5,856 30 - 49 years = 83 50 - 59 years = 8

Subjects