Question

According to​ research, holiday shoppers spent an average of $361 over a holiday weekend in 2008. The accompanying data show the amount spent by a random sample of holiday shoppers during the same weekend in 2009. Complete parts a and b below.

$426	​$270	​$371	​$238	​$216	​$208
​$355	​$429	​$390	​$396	​$324	​$59
​$408	​$422	​$375	​$270

a. Retailers were concerned that the recent economic downturn was going to affect holiday sales. Does this sample support these concerns using alpha=0.10​?

Determine the null and alternative hypotheses. Choose the correct answer below.

A.

H0​:μ≠361 and H1​:μ=361

B.

H0​:μ≥361 and H1​: μ<361

C.

H0​: μ=361 and H1​: μ≠361

D.

H0​: μ≤361 and H1​: μ>361

Determine the critical​ value(s).

The critical​ value(s) is(are)

______

​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

Determine the test​ statistic,

________

​(Round to two decimal places as​ needed.)

What conclusion should be​ drawn?

A.

Reject the null hypothesis. There is sufficient evidence to conclude that holiday shoppers​ spent, on​ average, less in 2009 than they did in 2008.

B.

Do not reject the null hypothesis. There is not sufficient evidence to conclude that holiday shoppers​ spent, on​ average, less in 2009 than they did in 2008.

C.

Reject the null hypothesis. There is not sufficient evidence to conclude that holiday shoppers​ spent, on​ average, less in 2009 than they did in 2008.

D.

Do not reject the null hypothesis. There is sufficient evidence to conclude that holiday shoppers​ spent, on​ average, less in 2009 than they did in 2008.

b. Use technology to determine the​ p-value for this test.

​p-value=______

​(Round to three decimal places as​ needed.)

Answer 1