Dear Friend, I heard you are taking statistics this term and therefore you are t

Question

Dear Friend,

I heard you are taking statistics this term and therefore you are the perfect person to clarify some confusion that I have.  

As you know, I am new to the midwest and I am fascinated by the use of the word "pop" when referring to a sweetened and carbonated beverage. The website popvssoda.com collect survey data on what a person from a particular region calls a sweetened and carbonated beverage. Northern states are known for using the word "pop". I want to compare the proportion of all residents in Kansas who use the word "pop" (p1) versus the proportion of all residents in a more northern state like Michigan who use the word "pop" (p2).

My theory is that the population proportion of all residents in Kansas who use the word "pop" is less than the population proportion of residents in Michigan who use the word "pop" when referring to sweetened and carbonated beverage. That is H0: p1= p2 versus Ha: p1 < p2, and I will use a 10% significance level.

I received access to some large data, which can be assumed to be two large random samples of residents from each of the two states (Kansas and Michigan). Numerical summaries of the data revealed that 63.43% of the sampled residents in Kansas use the word "pop" when referring to a sweetened and carbonated beverage compare to 64.01% of sampled residents in Michigan. Since both sample sizes were large, I conducted a Z test to compare the two population proportions and the p-value was small, much smaller than 10%.

I want to be able to write a conclusion to explain my results to my brother and I came up with the following statement:  

"Since the p-value is small, smaller than 10%, I will reject H0. My results prove that the proportion of residents in Kansas who use the word "pop" is less than the proportion of residents in Michigan who use the word "pop" when referring to the sweetened and carbonated beverage."

I am suspicious that what I wrote is not all correct, do you mind reading my statement and giving me some feedback?

Thanks for your input,
your friend.

Write a short note to your friend in which you identify AND explain the 2 aspects of the statement that are not correct. Include in the note to your friend a correct conclusion.

Dear Friend,

I heard you are taking statistics this term and therefore you are the perfect person to clarify some confusion that I have.  

As you know, I am new to the midwest and I am fascinated by the use of the word "pop" when referring to a sweetened and carbonated beverage. The website popvssoda.com collect survey data on what a person from a particular region calls a sweetened and carbonated beverage. Northern states are known for using the word "pop". I want to compare the proportion of all residents in Kansas who use the word "pop" (p1) versus the proportion of all residents in a more northern state like Michigan who use the word "pop" (p2).

My theory is that the population proportion of all residents in Kansas who use the word "pop" is less than the population proportion of residents in Michigan who use the word "pop" when referring to sweetened and carbonated beverage. That is H0: p1= p2 versus Ha: p1 < p2, and I will use a 10% significance level.

I received access to some large data, which can be assumed to be two large random samples of residents from each of the two states (Kansas and Michigan). Numerical summaries of the data revealed that 63.43% of the sampled residents in Kansas use the word "pop" when referring to a sweetened and carbonated beverage compare to 64.01% of sampled residents in Michigan. Since both sample sizes were large, I conducted a Z test to compare the two population proportions and the p-value was small, much smaller than 10%.

I want to be able to write a conclusion to explain my results to my brother and I came up with the following statement:  

"Since the p-value is small, smaller than 10%, I will reject H0. My results prove that the proportion of residents in Kansas who use the word "pop" is less than the proportion of residents in Michigan who use the word "pop" when referring to the sweetened and carbonated beverage."

I am suspicious that what I wrote is not all correct, do you mind reading my statement and giving me some feedback?

Thanks for your input,
your friend.

Write a short note to your friend in which you identify AND explain the 2 aspects of the statement that are not correct. Include in the note to your friend a correct conclusion.

Dear Friend,

I heard you are taking statistics this term and therefore you are the perfect person to clarify some confusion that I have.  

As you know, I am new to the midwest and I am fascinated by the use of the word "pop" when referring to a sweetened and carbonated beverage. The website popvssoda.com collect survey data on what a person from a particular region calls a sweetened and carbonated beverage. Northern states are known for using the word "pop". I want to compare the proportion of all residents in Kansas who use the word "pop" (p1) versus the proportion of all residents in a more northern state like Michigan who use the word "pop" (p2).

My theory is that the population proportion of all residents in Kansas who use the word "pop" is less than the population proportion of residents in Michigan who use the word "pop" when referring to sweetened and carbonated beverage. That is H0: p1= p2 versus Ha: p1 < p2, and I will use a 10% significance level.

I received access to some large data, which can be assumed to be two large random samples of residents from each of the two states (Kansas and Michigan). Numerical summaries of the data revealed that 63.43% of the sampled residents in Kansas use the word "pop" when referring to a sweetened and carbonated beverage compare to 64.01% of sampled residents in Michigan. Since both sample sizes were large, I conducted a Z test to compare the two population proportions and the p-value was small, much smaller than 10%.

I want to be able to write a conclusion to explain my results to my brother and I came up with the following statement:  

"Since the p-value is small, smaller than 10%, I will reject H0. My results prove that the proportion of residents in Kansas who use the word "pop" is less than the proportion of residents in Michigan who use the word "pop" when referring to the sweetened and carbonated beverage."

I am suspicious that what I wrote is not all correct, do you mind reading my statement and giving me some feedback?

Thanks for your input,
your friend.

Write a short note to your friend in which you identify AND explain the 2 aspects of the statement that are not correct. Include in the note to your friend a correct conclusion. Dear Friend,

I heard you are taking statistics this term and therefore you are the perfect person to clarify some confusion that I have.  

As you know, I am new to the midwest and I am fascinated by the use of the word "pop" when referring to a sweetened and carbonated beverage. The website popvssoda.com collect survey data on what a person from a particular region calls a sweetened and carbonated beverage. Northern states are known for using the word "pop". I want to compare the proportion of all residents in Kansas who use the word "pop" (p1) versus the proportion of all residents in a more northern state like Michigan who use the word "pop" (p2).

My theory is that the population proportion of all residents in Kansas who use the word "pop" is less than the population proportion of residents in Michigan who use the word "pop" when referring to sweetened and carbonated beverage. That is H0: p1= p2 versus Ha: p1 < p2, and I will use a 10% significance level.

I received access to some large data, which can be assumed to be two large random samples of residents from each of the two states (Kansas and Michigan). Numerical summaries of the data revealed that 63.43% of the sampled residents in Kansas use the word "pop" when referring to a sweetened and carbonated beverage compare to 64.01% of sampled residents in Michigan. Since both sample sizes were large, I conducted a Z test to compare the two population proportions and the p-value was small, much smaller than 10%.

I want to be able to write a conclusion to explain my results to my brother and I came up with the following statement:  

"Since the p-value is small, smaller than 10%, I will reject H0. My results prove that the proportion of residents in Kansas who use the word "pop" is less than the proportion of residents in Michigan who use the word "pop" when referring to the sweetened and carbonated beverage."

I am suspicious that what I wrote is not all correct, do you mind reading my statement and giving me some feedback?

Thanks for your input,
your friend.

Write a short note to your friend in which you identify AND explain the 2 aspects of the statement that are not correct. Include in the note to your friend a correct conclusion. Dear Friend,

I heard you are taking statistics this term and therefore you are the perfect person to clarify some confusion that I have.  

As you know, I am new to the midwest and I am fascinated by the use of the word "pop" when referring to a sweetened and carbonated beverage. The website popvssoda.com collect survey data on what a person from a particular region calls a sweetened and carbonated beverage. Northern states are known for using the word "pop". I want to compare the proportion of all residents in Kansas who use the word "pop" (p1) versus the proportion of all residents in a more northern state like Michigan who use the word "pop" (p2).

My theory is that the population proportion of all residents in Kansas who use the word "pop" is less than the population proportion of residents in Michigan who use the word "pop" when referring to sweetened and carbonated beverage. That is H0: p1= p2 versus Ha: p1 < p2, and I will use a 10% significance level.

I received access to some large data, which can be assumed to be two large random samples of residents from each of the two states (Kansas and Michigan). Numerical summaries of the data revealed that 63.43% of the sampled residents in Kansas use the word "pop" when referring to a sweetened and carbonated beverage compare to 64.01% of sampled residents in Michigan. Since both sample sizes were large, I conducted a Z test to compare the two population proportions and the p-value was small, much smaller than 10%.

I want to be able to write a conclusion to explain my results to my brother and I came up with the following statement:  

"Since the p-value is small, smaller than 10%, I will reject H0. My results prove that the proportion of residents in Kansas who use the word "pop" is less than the proportion of residents in Michigan who use the word "pop" when referring to the sweetened and carbonated beverage."

I am suspicious that what I wrote is not all correct, do you mind reading my statement and giving me some feedback?

Thanks for your input,
your friend.

Write a short note to your friend in which you identify AND explain the 2 aspects of the statement that are not correct. Include in the note to your friend a correct conclusion.

Explanation / Answer

The two aspects that are not correct about the conclusion statement are:

Thus, the correct conclusion statement is:

"Since, the observed probability value is less than the level of significance (i.e. 10%) used in the study, so there is enough evidence to reject the null hypothesis(H0). Thus, it can be concluded that the proportion of residents in Kansas who use the word "pop" is less than the proportion of residents in Michigan who use the word "pop" when referring to the sweetened and carbonated beverage."

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.