Question

A suggestion is made that the proportion of people who have food allergies and/or sensitivities is 0.63. You believe that the proportion is actually greater than 0.63. If you conduct a hypothesis test, what will the null and alternative hypothesis be?

Question 1 options:

	1) HO: p ≤ 0.63 HA: p > 0.63
	2) HO: p = 0.63 HA: p ≠ 0.63
	3) HO: p > 0.63 HA: p ≤ 0.63
	4) HO: p < 0.63 HA: p ≥ 0.63
	5) HO: p ≥ 0.63 HA: p < 0.63

Question 2 (1 point)

You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Obama is 0.62. However, you think it is different from 0.62. If you conduct a hypothesis test, what will the null and alternative hypotheses be?

Question 2 options:

	1) HO: p = 0.62 HA: p ≠ 0.62
	2) HO: p ≤ 0.62 HA: p > 0.62
	3) HO: p ≠ 0.62 HA: p = 0.62
	4) HO: p ≥ 0.62 HA: p < 0.62
	5) HO: p > 0.62 HA: p ≤ 0.62

Question 3 (1 point)

You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Trump is 0.54. However, you think it is greater than 0.54. The hypotheses for this test are Null Hypothesis: p ≤ 0.54, Alternative Hypothesis: p > 0.54. If you randomly sample 20 people and 7 of them support President Trump, what is your test statistic and p-value?

Question 3 options:

	1) Test Statistic: 1.705, P-Value: 0.956
	2) Test Statistic: -1.705, P-Value: 0.044
	3) Test Statistic: -1.705, P-Value: 1.912
	4) Test Statistic: 1.705, P-Value: 0.044
	5) Test Statistic: -1.705, P-Value: 0.956

Question 4 (1 point)

You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Trump is 0.31. However, you think it is different from 0.31. The hypotheses for this test are Null Hypothesis: p = 0.31, Alternative Hypothesis: p ≠ 0.31. If you randomly sample 23 people and 10 of them support President Trump, what is your test statistic and p-value?

Question 4 options:

	1) Test Statistic: -1.294, P-Value: 0.196
	2) Test Statistic: 1.294, P-Value: 0.196
	3) Test Statistic: 1.294, P-Value: 0.098
	4) Test Statistic: 1.294, P-Value: 0.804
	5) Test Statistic: 1.294, P-Value: 0.902

Question 5 (1 point)

Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is less than 0.61, a claim you would like to test. The hypotheses here are Null Hypothesis: p ≥ 0.61, Alternative Hypothesis: p < 0.61. If you take a random sample of players and calculate p-value for your hypothesis test of 0.0141, what is the appropriate conclusion? Conclude at the 5% level of significance.

Question 5 options:

	1) The proportion of active MLB players that have an average higher than .300 is significantly different from 0.61.
	2) The proportion of active MLB players that have an average higher than .300 is significantly less than 0.61.
	3) The proportion of active MLB players that have an average higher than .300 is significantly larger than 0.61.
	4) The proportion of active MLB players that have an average higher than .300 is greater than or equal to 0.61.
	5) We did not find enough evidence to say the proportion of active MLB players that have an average higher than .300 is less than 0.61.

Answer 1