A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 704.2. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 715.3 with a standard deviation of 82.5. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a= 0.05 level of significance. TEL State the null and alternative hypotheses. Ho: H = 704.2 P H₁> 7,04.2 (Type integer or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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What is the p-value ?
A credit score is used by credit agencies (such as mortgage companies and banks) to
assess the creditworthiness of individuals. Values range from 300 to 850, with a credit
score over 700 considered to be a quality credit risk. According to a survey, the mean
credit score is 704.2. A credit analyst wondered whether high-income individuals
(incomes in excess of $100,000 per year) had higher credit scores. He obtained a random
sample of 34 high-income individuals and found the sample mean credit score to be
715.3 with a standard deviation of 82.5. Conduct the appropriate test to determine if
high-income individuals have higher credit scores at the a= 0.05 level of significance.
State the null and alternative hypotheses.
Ho: H = 704.2
P
H₁: >7.04.2
(Type integer or decimals. Do not round.)
Identify the t-statistic.
to =
(Round to two decimal places as needed.)
Transcribed Image Text:A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 704.2. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 715.3 with a standard deviation of 82.5. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a= 0.05 level of significance. State the null and alternative hypotheses. Ho: H = 704.2 P H₁: >7.04.2 (Type integer or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.)
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