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1. 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

1. 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 2699 3455
Didn't Vote 1788 2058

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)]

2. 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)].

3. 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: (27.8, 28.5, 31.6, 27.6, 32.7, 28.8, 32.4, 32.4, 31.6, 28.5, 28.6, 28.5, 31.3, 28.7, 32.1, 31.6, 32.7, 27.9, 32.3, 31.7) Select the [p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)].

4. Hippocrates magazine states that 32 percent of all Americans take multiple vitamins regularly. Suppose a researcher surveyed 750 people to test this claim and found that 270 did regularly take a multiple vitamin. Is this sufficient evidence to conclude that the actual percentage is different from 32% at the 5% significance level? Select the [p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)].

5. A national computer retailer believes that the average sales are greater for salespersons with a college degree. A random sample of 35 salespersons with a degree had an average weekly sale of $3666 last year, while 32 salespersons without a college degree averaged $3344 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)].

6. The community hospital is studying its distribution of patients. A random sample of 320 patients presently in the hospital gave the following information:

Type of Patient Old Rate of Occurrences Present Number of Occurrences
Maternity Ward 20% 75
Cardiac Ward 32% 94
Burn Ward 10% 29
Children's Ward 15% 51
All Other Wards 23% 71

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)].

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