# Project #71192 - Statistcs

1.In a recent poll by the Gallup organization (Wives Still Do Laundry, Men Do Yard Work, published at Gallup.com, April 30, 2011), it was found that large differences continue to exist between wives and husbands regarding work around the house.  Wives still tend to bear the burden for most indoor household chores, while husbands tend to do more work outside with their cars.  The simulated data in this problem are based on the results of this poll.

Suppose you wish to demonstrate that there is a difference between the proportions of wives an husbands who do laundry at home.  From a sample of 70 randomly selected wives, you observe 49 who do laundry at home.  From a sample of 50 randomly selected husbands, you find 22 who do laundry at home.

We are going to test the claim that the proportion of wives who do laundry at home is different from the proportion for husbands.  Use a 1% level of significance.

Let pw be the population proportion of wives who do laundry.

Let pm be the population proportion of husbands who do laundry.

For the hypotheses, choose the appropriate equality or inequality symbol from this table below:

 1 = 2 3 4 5 > 6 <

Ho:  pw  pm    Please select the number corresponding to the appropriate symbol.

Ha:  pw  pm    Please select the number corresponding to the appropriate symbol.

2.In a recent poll by the Gallup organization (Wives Still Do Laundry, Men Do Yard Work, published at Gallup.com, April 30, 2011), it was found that large differences continue to exist between wives and husbands regarding work around the house.  Wives still tend to bear the burden for most indoor household chores, while husbands tend to do more work outside with their cars.  The simulated data in this problem are based on the results of this poll.

Suppose you wish to demonstrate that there is a difference between the proportions of wives an husbands who do laundry at home.  From a sample of 70 randomly selected wives, you observe 49 who do laundry at home.  From a sample of 50 randomly selected husbands, you find 22 who do laundry at home.

We are going to test the claim that the proportion of wives who do laundry at home is different from the proportion for husbands.  Use a 1% level of significance.

Let pw_hat be the sample proportion of wives who do laundry.

Let pm_hat be the sample proportion of husbands who do laundry.

pw_hat =   (Round to two decimal places.)

pm_hat =   (Round to two decimal places.)

pw_hat - pm_hat =   (Round to two decimal places.)

3.In a recent poll by the Gallup organization (Wives Still Do Laundry, Men Do Yard Work, published at Gallup.com, April 30, 2011), it was found that large differences continue to exist between wives and husbands regarding work around the house.  Wives still tend to bear the burden for most indoor household chores, while husbands tend to do more work outside with their cars.  The simulated data in this problem are based on the results of this poll.

Suppose you wish to demonstrate that there is a difference between the proportions of wives an husbands who do laundry at home.  From a sample of 70 randomly selected wives, you observe 49 who do laundry at home.  From a sample of 50 randomly selected husbands, you find 22 who do laundry at home.

We are going to test the claim that the proportion of wives who do laundry at home is different from the proportion for husbands.  Use a 1% level of significance.

In this example, the underlying sampling distributions for each sample are approximately normal and, therefore, we can perform the hypothesis test for the difference in two population proportions.

P-value =  (Round your answer to three decimal places.)

Based on this P-value and testing at 0.01 level of significance, we  (1 = have enough, 2 = do not have enough) evidence and we, therefore,   (1 = reject, 2 = fail to reject) the null hypothesis that the two population proportions are equal.

4.In a recent poll by the Gallup organization (Wives Still Do Laundry, Men Do Yard Work, published at Gallup.com, April 30, 2011), it was found that large differences continue to exist between wives and husbands regarding work around the house.  Wives still tend to bear the burden for most indoor household chores, while husbands tend to do more work outside with their cars.  The simulated data in this problem are based on the results of this poll.

Suppose you wish to demonstrate that there is a difference between the proportions of wives an husbands who do laundry at home.  From a sample of 70 randomly selected wives, you observe 49 who do laundry at home.  From a sample of 50 randomly selected husbands, you find 22 who do laundry at home.

This time we are calculating the 99% confidence interval.

In this example, the underlying sampling distributions for each sample are approximately normal and, therefore, we can create the confidence interval for the difference in two population proportions.

I would highly recommend using technology to calculate confidence interval.

Let pw_hat be the sample proportion of wives who do laundry.
Let pm_hat be the sample proportion of husbands who do laundry.

What is the 99% confidence interval for pw_hat pm_hat?

Use of the MS Excel Template may be helpful:

,  )  (Round to two decimal places.)

These results are consistent with the hypothesis test, since the population proportion difference, pw - pm, of 0% does not lie within the 99% confidence interval.    (1 = True, 2 = False)

To compare the proportion of men who are left-handed to the proportion of women who are left-handed, a random sample of 600 men and another random sample of 800 women were gathered, and from each a sample proportion   and   of those who are left-handed was computed.

The proportion of left-handed was found to be  = 0.11 for the men and  = 0.07 for the women.

What is the Margin of Error for 95% confidence,      (Round to two decimal places.)

To compare the proportion of men who are left-handed to the proportion of women who are left-handed, a random sample of 600 men and another random sample of 800 women were gathered, and from each a sample proportion   and   of those who are left-handed was computed.

The proportion of left-handed was found to be   = 0.11 for the men and   = 0.07 for the women.

Construct the 95% confidence.  Round to two decimal places.

(  ,  )

 Subject Mathematics Due By (Pacific Time) 05/17/2015 12:00 pm
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