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4. A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 200 house purchases in the current year were randomly selected and 80 of those were made by singles. In the second study, again 200 house purchases were randomly selected from 5 years ago and 57 of those were made by single people. Test the newspaper's claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) < Ho Ha Answer: : P₁ = P2 P1. P2 B) # C) > Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. B) We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. C) We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. D) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago.

4. A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 200 house purchases in the current year were randomly selected and 80 of those were made by singles. In the second study, again 200 house purchases were randomly selected from 5 years ago and 57 of those were made by single people. Test the newspaper's claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) < Ho Ha Answer: : P₁ = P2 P1. P2 B) # C) > Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. B) We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. C) We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. D) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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4. A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 200 house purchases in the current year were randomly selected and 80 of those were made by singles. In the second study, again 200 house purchases were randomly selected from 5 years ago and 57 of those were made by single people. Test the newspaper's claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) < B) # # Ho Ha : P₁ Answer: P₁ = P2 P2 C) > Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. B) We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. C) We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. D) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago.
Transcribed Image Text:4. A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 200 house purchases in the current year were randomly selected and 80 of those were made by singles. In the second study, again 200 house purchases were randomly selected from 5 years ago and 57 of those were made by single people. Test the newspaper's claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) < B) # # Ho Ha : P₁ Answer: P₁ = P2 P2 C) > Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. B) We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. C) We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago. D) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to support the newspaper's claim that singles now purchase more houses than singles 5 years ago.
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