A research center claims that at least32% of adults in a certain country think that their...

A research center claims that at least32% of adults in a certain country think that their taxes will be audited. In a random sample of 800 adults in that country in a recent year,29%say they are concerned that their taxes will be audited. At alphaαequals=0.01,is there enough evidence to reject the center's claim?

Expert Solution

Null hypothesis

Alternative hypothesis

We have for given example,
Population proportion value is =0.32
x=232

n=800
Level of significance =   0.01
Estimate for sample proportion

Z test statistic formula for proportion

=-1.82

P value is = 0.9655........................by using normal probability table or by using Excel command NORMSDIST(-1.82)

P value is =0.9665 > 0.01

Therefore, we fail to reject H0 at

We can say that, at least 32% of adults in a certain country think that their taxes will be audited.

orchestra answered 3 years ago

A research center claims that at least 25% of adults in a certain country think that...

A research center claims that at least 25% of adults in a certain country think that their taxes will be audited. In a random sample of 600 adults in that country in a recent year, 22% say they are concerned that their taxes will be audited. At α=0.100.10, is there enough evidence to reject the center's claim? Complete parts (a) through(e) below.

A research center claims that 29% of adults in a certain country would travel into space...

A research center claims that 29% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 31% say that they would travel into space on a commercial flight if they could afford it. At alphaequals0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state Upper H 0 and...

A research center claims that 30% of adults in a certain country would travel into space...

A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At alphaαequals=0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. need Z= and P=

A research center claims that more than 55% of U.S. adults think that it is essential...

A research center claims that more than 55% of U.S. adults think that it is essential that the United States continue to be a world leader in space exploration. In a random sample of 25 U.S. adults, 64% think that it is essential that the United States continue to be a world leader in space exploration. At a = 0.01, is there enough evidence to support the center’s claim? (Adapted from Pew Research Center)

A research center claims that more than 32% of employees in a certain country have changed...

A research center claims that more than 32% of employees in a certain country have changed jobs in the past four years. In a random sample of 340 people from that country, 119 have changed jobs in the past four years. At alpha equals 0.01, is there enough evidence to support the center's claim? Complete parts (a) through (e) below. a) Identify the claim and state Upper H 0 and Upper H Subscript a. (b) Find the critical value(s) and...

In a survey of 2075 adults in a certain country conducted during a period of economic...

In a survey of 2075 adults in a certain country conducted during a period of economic uncertainty, 55% thought that wages paid to workers in industry were too low. The margin of error was 6 percentage points with 90% confidence. For parts (a) through (d) below, which represent a reasonable interpretation of the survey results? For those that are not reasonable, explain the flaw. We are 90% confident 55% (b) We are 84% to 96% confident 55% of adults in...

A poll asked adults in a certain country whether immigration was a good thing or a...

A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 1062 respondents, 384 said it was a good thing. a. What percentage of those taking the poll said immigration was a good thing? b. Check the conditions to determine whether you can apply the CLT to find a confidence interval. c. Find a 95% confidence interval for the proportion who believe immigration is a good thing.

In a survey of 2065 adults in a certain country conducted during a period of economic...

In a survey of 2065 adults in a certain country conducted during a period of economic uncertainty, 64% thought that wages paid to workers in industry were too low. The margin of error was 4 percentage points with 95%confidence. For parts (a) through (d) below, which represent a reasonable interpretation of the survey results? For those that are not reasonable, explain the flaw. (a) We are 95% confident 64% of adults in the country during the period of economic uncertainty...

Suppose that a recent poll found that 40 % of adults in a certain country believe...

Suppose that a recent poll found that 40 % of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral values, complete parts (a) through (e) below. (a) Find and interpret the probability that exactly 8 of those surveyed feel the state of morals is...

In a survey of 2085 adults in a certain country conducted during a period of economic...

In a survey of 2085 adults in a certain country conducted during a period of economic uncertainty, 67% thought that wages paid to workers in industry were too low. The margin of error was 9 percentage points with 90% confidence. For parts (a) through (d) below, which represent a reasonable interpretation of the survey results? For those that are not reasonable, explain the flaw. (a) We are 90% confident 67% of adults in the country during the period of economic...

Question