State the type of hypothesis test to be used in the

Question

1. State the type of hypothesis test to be used in the following situation:

Hippocrates magazine states that 37 percent of all Americans take multiple vitamins regularly. Suppose a researcher surveyed 750 people to test this claim and found that 290 did regularly take a multiple vitamin. Is this sufficient evidence to conclude that the actual percentage is different from 37%?

2. State the type of hypothesis test to be used in the following situation:

In a experiment on relaxation techniques, subject's brain signals were measured before and after the relaxation exercises with the following results:

Person	1	2	3	4	5
Before	32	38	65	50	30
After	25	35	56	52	24

Is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? Assume the population is normally distributed.

3. State the type of hypothesis test to be used in the following situation:

In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were:

	Men	Women
Voted	2792	3591
Didn't Vote	1486	2131

Is there a difference in the proportion of men who voted and women who voted?  

4.In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were:

	Men	Women
Voted	2311	3422
Didn't Vote	1544	2723

If we are testing for a relationship between gender and participation in the last election, what is the test statistic?

5. In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were:

	Men	Women
Voted	2355	3688
Didn't Vote	1622	2335

If we are testing for a relationship between gender and participation in the last election, what is the p-value and decision at the 5% significance level? Select the [p-value, Decision to Reject (RH₀) or Failure to Reject (FRH₀)]

6.  The Blue Diamond Company advertises that their nut mix contains (by weight) 40% cashews, 15% Brazil nuts, 20% almonds and only 25% peanuts. The truth-in-advertising investigators took a random sample (of size 20 lbs) of the nut mix and found the distribution to be as follows: 5 lbs of Cashews, 6 lbs of Brazil nuts, 5 lbs of Almonds and 4 lbs of Peanuts. At the 0.05 level of significance, is the claim made by Blue Diamond true?

Select the [p-value, Decision to Reject (RH₀) or Failure to Reject (FRH₀)].

7. Quart cartons of milk should contain at least 32 ounces. A sample of 20 cartons contained the following amounts in ounces. Does sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces at the 5% significance level?
The data is:   (31.6, 32.4, 27.4, 32.5, 31.8, 28.9, 28.4, 27.2, 32.7, 27.9, 27.7, 32.7, 27.2, 27.9, 32.1, 31.4, 32.6, 31.6, 32.8, 31.6)
Select the [p-value, Decision to Reject (RH₀) or Failure to Reject (FRH₀)].

8. Hippocrates magazine states that 37 percent of all Americans take multiple vitamins regularly. Suppose a researcher surveyed 750 people to test this claim and found that 314 did regularly take a multiple vitamin. Is this sufficient evidence to conclude that the actual percentage is different from 37% at the 5% significance level?

Select the [p-value, Decision to Reject (RH₀) or Failure to Reject (FRH₀)].

9.A national computer retailer believes that the average sales are greater for salespersons with a college degree. A random sample of 33 salespersons with a degree had an average weekly sale of $3433 last year, while 35 salespersons without a college degree averaged $3277 in weekly sales. The standard deviations were $468 and $642 respectively. Is there evidence at the 5% level to support the retailer's belief?

Select the [p-value, Decision to Reject (RH₀) or Failure to Reject (FRH₀)].

10. The community hospital is studying its distribution of patients. A random sample of 311 patients presently in the hospital gave the following information:

Type of Patient	Old Rate of Occurrences	Present Number of Occurrences
Maternity Ward	20%	73
Cardiac Ward	32%	86
Burn Ward	10%	29
Children's Ward	15%	48
All Other Wards	23%	75

Test the claim at the 5% significance level that the distribution of patients in these wards has not changed.

Select the [p-value, Decision to Reject (RH₀) or Failure to Reject (FRH₀)].

11. In a experiment on relaxation techniques, subject's brain signals were measured before and after the relaxation exercises with the following results:

Person	1	2	3	4	5
Before	37.8	41.4	37.3	38.9	38.8
After	38.8	37.5	35.2	39.9	34.6

Is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? Assume the population is normally distributed.

Select the [p-value, Decision to Reject (RH₀) or Failure to Reject (FRH₀)].