A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 743 women and 713 men were independently and randomly selected, and that 383 women and 282282 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, 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.
Step 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


A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 743 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 241 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 1 of 6: State the...
Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The survey data was collected via random-digit-dial telephone interviews conducted July 1-12, 2019 with a random sample of 1525 adults living in all 50 U.S. states with a minimum quota of 70% cellphone respondents and 30% landline respondents, with additional minimum quotas by time zone within region. The following table summarizes their results for men and women: Men Women 92 31 Vape Do Not Vape Total...
Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The survey data was collected via random-digit-dial telephone interviews conducted July 1-12, 2019 with a random sample of 1525 adults living in all 50 U.S. states with a minimum quota of 70% cellphone respondents and 30% landline respondents, with additional minimum quotas by time zone within region. The following table summarizes their results for men and women: Men Women Total Vape 92 31 123 Do Not...
Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The survey data was collected via random-digit-dial telephone interviews conducted July 1-12, 2019 with a random sample of 1525 adults living in all 50 U.S. states with a minimum quota of 70% cellphone respondents and 30% landline respondents, with additional minimum quotas by time zone within region. The following table summarizes their results for men and women: Men Women Total Vape 92 31 123 Do Not...
Given two independent random samples with the following results: n1= 658 n2 = 550 x1=362 x2=194 Can it be concluded that there is a difference between the two population proportions? Use a significance level of α=0.01 for the test. Step 1 of 5: State the null and alternative hypotheses for the test. Step 2 of 5: Find the values of the two sample proportions, pˆ1 and pˆ2. Round your answers to three decimal places. Step 3 of 5: Compute...
Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The survey data was collected via random-digit-dial telephone interviews conducted July 1-12, 2019 with a random sample of 1525 adults living in all 50 U.S. states with a minimum quota of 70% cellphone respondents and 30% landline respondents, with additional minimum quotas by time zone within region. The following table summarizes their results for men and women: Men Women Total Vape 92 31 123 Do Not...
Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The survey data was collected via random-digit-dial telephone interviews conducted July 1-12, 2019 with a random sample of 1525 adults living in all 50 U.S. states with a minimum quota of 70% cellphone respondents and 30% landline respondents, with additional minimum quotas by time zone within region. The following table summarizes their results for men and women: Men Women Total Vape 92 31 123 Do Not...
Given two independent random samples with the following results: n1=128 n2= 253 x1=58 x2=73 Can it be concluded that there is a difference between the two population proportions? Use a significance level of α=0.01 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...
Gallup recently conducted a survey about the proportion of Americans who use e-cigarettes (vape). The survey data was collected via random-digit-dial telephone interviews conducted July 1-12, 2019 with a random sample of 1525 adults living in all 50 U.S. states with a minimum quota of 70% cellphone respondents and 30% landline respondents, with additional minimum quotas by time zone within region. The following table summarizes their results for men and women: Men Women Total Vape 92 31 123 Do Not...
8. The body mass index (BMID of an individual is a measure used to judge whether an individual is overweight or not. A BMI between 20 and 25 indicates a normal weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men and 270 women were normal weight. A researcher believes that this information indicates that there is a difference in the proportion of men and women who are normal weight. a. Determine the...