Question

Question 11 (1 point)

A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.48. You believe that the proportion is actually less than 0.48. The hypotheses for this test are Null Hypothesis: p ≥ 0.48, Alternative Hypothesis: p < 0.48. If you select a random sample of 28 people and 12 have a food allergy and/or sensitivity, what is your test statistic and p-value?

Question 11 options:

1)	Test Statistic: 0.545, P-Value: 0.293

2)	Test Statistic: -0.545, P-Value: 0.586

3)	Test Statistic: -0.545, P-Value: 0.707

4)	Test Statistic: 0.545, P-Value: 0.707

5)	Test Statistic: -0.545, P-Value: 0.293

Question 12 (1 point)

Suppose the national average dollar amount for an automobile insurance claim is $911.9. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≥ 911.9, Alternative Hypothesis: μ < 911.9. You take a random sample of claims and calculate a p-value of 0.3314 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.

Question 12 options:

1)	We did not find enough evidence to say the true average claim amount is less than $911.9.

2)	We did not find enough evidence to say the true average claim amount is higher than $911.9.

3)	We did not find enough evidence to say a significant difference exists between the true average claim amount and $911.9.

4)	The true average claim amount is significantly less than $911.9.

5)	The true average claim amount is higher than or equal to $911.9.

Question 13 (1 point)

Do sit down restaurant franchises and fast food franchises differ significantly in stock price? Specifically, is the average stock price for sit-down restaurants greater than the average stock price for fast food restaurants? If sit down restaurants are considered group 1 and fast food restaurants are group 2, what are the hypotheses of this scenario?

Question 13 options:

1)	HO: μ1 ≥ μ2 HA: μ1 < μ2

2)	HO: μ1 > μ2 HA: μ1 ≤ μ2

3)	HO: μ1 = μ2 HA: μ1 ≠ μ2

4)	HO: μ1 ≤ μ2 HA: μ1 > μ2

5)	HO: μ1 < μ2 HA: μ1 ≥ μ2

Question 14 (1 point)

In a consumer research study, several Meijer and Walmart stores were surveyed at random and the average basket price was recorded for each. You wish to determine if the average basket price for Meijer is different from the average basket price for Walmart. It was found that the average basket price for 24 randomly chosen Meijer stores (group 1) was $62.528 with a standard deviation of $11.453. Similarly, a random sample of 18 Walmart stores (group 2) had an average basket price of $60.241 with a standard deviation of $11.4754. Perform a two independent samples t-test on the hypotheses Null Hypothesis: μ₁ = μ₂, Alternative Hypothesis: μ₁ ≠ μ₂. What is the test statistic and p-value of this test? You can assume that the standard deviations of the two populations are statistically similar.

Question 14 options:

1)	Test Statistic: 0.64, P-Value: 1.7371

2)	Test Statistic: 0.64, P-Value: 0.2629

3)	Test Statistic: 0.64, P-Value: 0.7371

4)	Test Statistic: -0.64, P-Value: 0.5258

5)	Test Statistic: 0.64, P-Value: 0.5258

Answer 1