Question

A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 713 women...

A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 713 women and 613 men were independently and randomly selected, and that 338 women and 244 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2 )?  Use a significance level of α=0.1 for the test.

Step 1 of 6 : State the null and alternative hypotheses for the test.

Step 2 of 6 : Find the values of the two sample proportions, pˆ1 and pˆ2. Round your answers to three decimal places.

Step 3 of 6 : Compute the weighted estimate of p‾. Round your answer to three decimal places.

Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places.

tep 5 of 6 : Find the P-value for the hypothesis test. Round your answer to four decimal places.

Step 6 of 6 : Make the decision to reject or fail to reject the null hypothesis.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 713 women...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 713 women and 613 men were independently and randomly selected, and that 338 women and 244 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2 )?  Use a significance level of α=0.1 for the test. Step 1...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 366366 women...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 366366 women and 422422 men were independently and randomly selected, and that 202202 women and 186186 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2p2 )?  Use a significance level of α=0.05α=0.05 for the test. Step 1...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 387 women...
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 387 women and 359 men were independently and randomly selected, and that 239 women and 202 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women (p1), choosing the state of the economy as their biggest concern, exceeds the proportion of men (p2)?  Use a significance level of α=0.01 for the test. Step 4 of 4 : Choose...
Given two independent random samples with the following results: n1= 350 n2= 475 pˆ1=0.55 pˆ2=0.68 Can...
Given two independent random samples with the following results: n1= 350 n2= 475 pˆ1=0.55 pˆ2=0.68 Can it be concluded that the proportion found in Population 2 exceeds the proportion found in Population 1? Use a significance level of α=0.05 for the test. State the null and alternative hypotheses for the test Find the values of the two sample proportions, pˆ1 and pˆ2. Round to 3 decimal places Compute the weighted estimate of p, p‾. Round to 3 decimal places Compute...
In a survey of 350 childless married couples who were asked if they plan to have...
In a survey of 350 childless married couples who were asked if they plan to have children in the next 55 years, 18% of the men and 10% of the women responded "Yes". Based on this survey, can it be concluded that there is a difference in the proportion of men ( p1) and women ( p2 ) responding "Yes"? Use a significance level of α=0.05 for the test. Step 1 of 5: State the null and alternative hypotheses for...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to...
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2) . To test this statement, NASCAR took a random sample of 115 of the new racecar engines and 110 of the old engines. They found that 13 of the new racecar engines and 7 of the old engines failed due...
A salesman for a new manufacturer of cellular phones claims not only that they cost the...
A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percentage of defective cellular phones found among his products, ( p1 ), will be no higher than the percentage of defectives found in a competitor's line, ( p2 ).  To test this statement, the retailer took a random sample of 130 of the salesman's cellular phones and 105 of the competitor's cellular phones. The retailer found that 12 of...
The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age...
The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is registered to vote. Suppose that 665 employed persons and 652 unemployed persons are independently and randomly selected, and that 379 of the employed persons and 261 of the unemployed persons have registered to vote. Can we conclude that the percentage of employed workers ( p1 ), who have registered to vote, exceeds the percentage of unemployed workers ( p2 ), who...
GfK Research North America conducted identical surveys 5 years apart. One question asked of women was...
GfK Research North America conducted identical surveys 5 years apart. One question asked of women was “Are most men basically kind, gentle, and thoughtful?” The earlier survey revealed that, of the 3,000 women surveyed, 2,010 said that they were. The later revealed 1,530 of the 3,000 women surveyed thought that men were kind, gentle, and thoughtful. At the 0.05 level, can we conclude that women think men are less kind, gentle, and thoughtful in the later survey compared with the...
Given two independent random samples with the following results: n1=428 x1=270   n2=251 x2=135 Can it be...
Given two independent random samples with the following results: n1=428 x1=270   n2=251 x2=135 Can it be concluded that there is a difference between the two population proportions? Use a significance level of α=0.05 for the test. Step 1 of 6: State the null and alternative hypotheses for the test Step 2 of 6: Find the values of the two sample proportions, pˆ1 and pˆ2. Round your answers to three decimal places. Step 3 of 6: Compute the weighted estimate of...