Snoop Incorporated is a firm that does market surveys. The Rollum Sound Company hired Snoop to study the age distribution of people who stream music. To check the Snoop report, Rollum used a random sample of 519 customers and obtained the following data.Customer Age (yrs)Percent of Customers from Snoop ReportNumber of Customers from SampleLess than 1412%10014 - 1829%12529 - 2311%5424 - 2810%3529 - 3314%76More than 3324%129Using a 1% level of significance, test the claim that the distribution of customer ages in the Snoop report agrees with that of the sample report.

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: The distributions are the same.

H₁: The distributions are the same.

H₀: The distributions are different.

H₁: The distributions are the same.

H₀: The distributions are different.

H₁: The distributions are different.

H₀: The distributions are the same.

H₁: The distributions are different.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

Are all the expected frequencies greater than 5?

Yes

No

What sampling distribution will you use?

chi-square

normal

Student'st

uniform

What are the degrees of freedom?

(c) Estimate theP-value of the sample test statistic.

P-value > 0.100

0.050 <P-value < 0.100

0.025 <P-value < 0.050

0.010 <P-value < 0.025

0.005 <P-value < 0.010

P-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

Since theP-value >, we fail to reject the null hypothesis.

Since theP-value >, we reject the null hypothesis.

Since theP-value, we reject the null hypothesis.

Since theP-value, we fail to reject the null hypothesis.

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

At the 1% level of significance, the evidence is sufficient to conclude that that the distribution of customer ages and the age distribution shown in the Snoop report are different.

At the 1% level of significance, the evidence is insufficient to conclude that that the distribution of customer ages and the age distribution shown in the Snoop report are different.