Question

Asked Nov 7, 2019

The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 300 viewers. After viewing the shows, 200 indicated they would watch the new show and suggested it replace the crime investigation show.

a) Estimate the value of the population proportion. **(Round your answers to 3 decimal places.)**

b) Develop a 98% confidence interval for the population proportion. (Use z Distribution Table.) (Round your answers to 3 decimal places.)

Step 1

**a.****T****he value of the population proportion is estimated below:**

From the given information, in a random sample 300 persons 200 responded that they will watch the new show and suggested it replace the crime investigation show.

The sample proportion is unbiased estimator of population proportion.

The required population proportion is,

Step 2

**Obtain the critical value at 98% confidence level:**

The level of significance=(1–0.98)/2=0.01.

The required confidence level from left tail normal table=0.98+0.01=0.99.

Procedure for finding the *z*-value is listed below:

- From the table of standard normal distribution, locate the probability value of 0.99
- Move left until the first column is reached. Note the value as 2.3
- Move upward until the top row is reached. Note the value as 0.03.
- The intersection of the row and column values gives the area to the two tail of
*z*.

The critical value Z=2.33.

Step 3

**The 98% confidence interval for the population proportion is developed below:**

The 98% confidence interval for the population pr...

Tagged in

Q: 10.9 A car magazine is comparing the total repair costs incurred during the first three years on two...

A: Given dataCar T-999

Q: The age of children in kindergarten on the first day of school is uniformly distributed between 4.73...

A: Let X be the random variable uniformly distributed between 4.73 and 5.75 years.Denote X as the age o...

Q: The average cholesterol content of a certain brand of eggs is 210 milligrams, and the standard devia...

A: Hey, since the question is not specified correctly. Here we are finding the probability that mean ch...

Q: Please show TI 84 steps

A: The provided variance is 7.2 and SE is 0.29.The formula to find the sample size is,

Q: An auditor, pressed for time and on a low budget, is concerned with account errors on customer credi...

A: The null and alternative hypotheses are;

Q: In 2008, the Detroit Lions set an NFL record by losing all 16 regular season games. Suppose that the...

A: It is given that n =16.Here, probability of winning an individual game is 0.10.

Q: 4.1 part d

A: (d)The sample standard deviation of the test scores across the 100 classrooms is,

Q: At a dog show, there are 26 tickets in a raffle cup for the basket I want (including mine). What is...

A: The total number of tickets are 26 and only one ticket per person in the cup is allowed.

Q: A laboratory tested 25 chicken eggs and found that the mean amount of cholesterol was 225 milligrams...

A: Confidence interval when population standard deviation is not known:The formula of confidence interv...