A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News A random sample of87urban residents showed that9subscribed, and a random sample of97suburban residents showed that16subscribed Does this indicate that a higher proportion of suburban residents subscribe to Sporting News Use a10 level of significance What are we testing in this problem single proportion single mean paired difference difference of means difference of proportions (a) What is the level of significance State the null and alternate hypotheses H 0 p 1 p 2 H 1 p 1 p 2 H 0 p 1 p 2 H 1 p 1 p 2 H 0 p 1 p 2 H 1 p 1 p 2 H 0 p 1 p 2 H 1 p 1 p 2 (b) What sampling distribution will you use What assumptions are you making The Student's t The number of trials is sufficiently large The standard normal We assume the population distributions are approximately normal The standard normal The number of trials is sufficiently large The Student's t We assume the population distributions are approximately normal What is the value of the sample test statistic (Test the difference p 1 p 2 Do not use rounded values Round your final answer to two decimal places ) (c) Find (or estimate) the P value (Round your answer to four decimal places ) Sketch the sampling distribution and show the area corresponding to the P value (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis Are the data statistically significant at level At the 0 10 level, we reject the null hypothesis and conclude the data are statistically significant At the 0 10 level, we reject the null hypothesis and conclude the data are not statistically significant At the 0 10 level, we fail to reject the null hypothesis and conclude the data are statistically significant At the 0 10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant (e) Interpret your conclusion in the context of the application There is sufficient evidence at the 0 10 level to conclude that the proportion of suburban residents subscribing to Sporting News is higher There is insufficient evidence at the 0 10 level to conclude that the proportion of suburban residents subscribing to Sporting News is higher

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A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News . A random sample

A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe toSporting News. A random sample of87urban residents showed that9subscribed, and a random sample of97suburban residents showed that16subscribed. Does this indicate that a higher proportion of suburban residents subscribe toSporting News? Use a10%level of significance.

What are we testing in this problem?

single proportion

single mean

paired difference

difference of means

difference of proportions

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀:p₁=p₂;H₁:p₁>p₂

H₀:p₁<p₂;H₁:p₁=p₂

H₀:p₁=p₂;H₁:p₁p₂

H₀:p₁=p₂;H₁:p₁<p₂

(b) What sampling distribution will you use? What assumptions are you making?

The Student'st. The number of trials is sufficiently large.

The standard normal. We assume the population distributions are approximately normal.

The standard normal. The number of trials is sufficiently large.

The Student'st. We assume the population distributions are approximately normal.

What is the value of the sample test statistic? (Test the differencep₁p₂. Do not use rounded values. Round your final answer to two decimal places.)

Sketch the sampling distribution and show the area corresponding to theP-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level?

At the= 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.

At the= 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the= 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

At the= 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(e) Interpret your conclusion in the context of the application.

There is sufficient evidence at the 0.10 level to conclude that the proportion of suburban residents subscribing toSporting Newsis higher.

There is insufficient evidence at the 0.10 level to conclude that the proportion of suburban residents subscribing toSporting Newsis higher.