Question: The sample proportion p is an unbiased estimator for the population proportion p. This means that: (A) the variance of the sampling distribution of p

The sample proportion p is an unbiased estimator for the population proportion p. This

means that:

(A) the variance of the sampling distribution of p is smaller than for any other estimator.

(B) if you take a large enough sample size, you will be guaranteed that p = p.

(C) the sampling distribution of p approaches a normal distribution as the sample size

gets large.

(D) the mean of the sampling distribution of p is p.

(E) the mean of the sampling distribution of p is p.

( I Need the explanation and theory)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

a. Construct a time-series graph of the sales data for HeathCos line of skiwear. Does there appear to be a seasonal pattern in the sales data? Explain why you think the results are as you have found....

Q:

Predict the election Refer to Exercise 16. The sample proportion p^ is an unbiased estimator of the population proportion p no matter what size random sample the polling organization chooses. Explain...

Q:

1. In the population of all adults, the proportion who favor legalizing marijuana is 0.56. When a random sample is selected from this population, the proportion in the sample who favor legalizing...

Q:

About 71% of all female heart transplant patients will survive for at least 3 years. Seventy female heart transplant patients are randomly selected. What is the probability that the sample proportion...

Q:

Question 5 of 10 Select the correct answer, then click Next to proceed. The sample mean (i) is an unbiased estimator of the population mean ([1) because: 0 The sample mean is constructed randomly....

Q:

Question 6 of 1 0 Select the correct answer, then click Next to proceed. The sample mean (i) is an unbiased estimator of the population mean ([1) because: The sample mean is constructed randomly. The...

Q:

1. If, in a one-tail hypothesis test, the p-value equals=0.8121, what is the statistical decision if the null hypothesis is tested at the 0.02 level of significance? What is the statistical decision?...

Q:

1. True or False: The population proportion and sample proportion always have the same value. 2. True or False: The mean of the sampling distribution of p is p.

Q:

Explain the following questions. Question 1 (understanding mean and variance of linear combinations of random variables) Let T_15 be the percentage of adult males who used tobacco products in 2015 in...

Q:

6 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=620257974&question|d=1&flushed=fa|se&cld=6873279¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/11/2212:47 PM Question 11, 6.2.25...

Q:

6 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=620257974&question|d=1&flushed=fa|se&cld=6873279¢erwin=yes E Math 159-14 Spring 2022 JOU HAN HUANG 03/11/2212:47 PM Question 11, 6.2.25...

Q:

a. What is the present value of a 3-year annuity of $100 if the discount rate is 6%? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Present value $ b. What is the...

Q:

Analyze the case study passage below and answer the questions thereof. Communication demands the flow of information, messages, ideas, instructions between two people or groups involving the process...

Q:

Which of the following terms or statements is most closely associated with increasing sales? a . Increased revenue. b . Increased profit. c . Decreased expenses. d . Increased margin. 2 points

Q:

A company is preparing completing their Cash Budget. The following data has been prepared for cash receipts and payments. January February March Cash receipts $1,061,200 $1,182,400 $1,091,700 Cash...