Question

According to research, holiday shoppers spent an average of $368 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. EEB Click the icon to view the data table a. Retailers were concerned that the recent economic downturn was going to affect holiday sales Does this sample support these concems using α= 0.10? Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho . #368 and H1 :388 ( B. Ho μ=388 and H1 38B More Info D. Hu'μέ368 and H1ιμ-368 Determine the cntical value(s) The cnitical value(s) is(are) $425 S281 $363 5245 $222 5214 359 S430 $391 5394 $324 557 $420 S429 $372 $282 Round to three decmal places as needed. Use a comma to separate answers as needed) Print Done Determine the test statistic, (Round to two decimal places as needed.) What conclusion should be drawn? 。A. 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. O B. Reject the null hypothesis. There is not sufficient evidence to conclude that holiday shoppers spent on awerage less in 2009 than they did in 2008. ○ С Do rol reject the rull hypothes s. There s not sufficient evidence to conclude that holiday stoppers spent on average, le s in 2009 than they did n 2008 ○ D. 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-

Answer 1

The statistical software output for this problem is:

One sample T hypothesis test:
μ : Mean of variable
H₀ : μ = 368
H_A : μ < 368

Hypothesis test results:

Variable	Sample Mean	Std. Err.	DF	T-Stat	P-value
Data	325.5	25.797933	15	-1.6474188	0.0601

Hence,

a) Hypotheses: Option C is correct.

Critical value = -1.341

Test statistic = -1.65

Conclusion: Option D is correct.

b) p - Value = 0.060