Question

Identify the correct null hypothesis:

1. Is the proportion of babies born male different from 50%?  In a sample of 200 babies, 96 were male. Test the claim using a 1% significance level.
   1. H₀: p = 0.50
   2. H₀: µ = 100
   3. H₀: p = 0.48
   4. H₀: µ = 96
2. Which of the following is not an option for an alternative hypothesis?
   1. Ha = k
   2. Ha > k
   3. Ha < k
   4. Ha ≠ k

Find the number of successes x suggested by the given statement.

3. Among 1410 randomly selected car drivers in one city,  7.52% said that they had been involved in an accident during the past year.
   1. 106                              b.   104                         c.   105                         d.   107

Find the value of the test statistic z using      z = ^p-p / sqrt pq/n

4. A claim is made that the proportion of children who play sports is less than 0.5, and the samples statistics include n = 1320 subjects with 30% saying that they play a sport.
   1. 14.53
   2. 29.66
   3. 29.66
   4. -14.53
5. The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 48°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer and claims he can prove that the true mean temperature is incorrect.
   1. H0: μ = 48°        H1: μ ≠ 48°
   2. H0: μ ≠ 48°        H1: μ = 48°
   3. H0: μ ≤ 48°        H1: μ > 48°
   4. H0: μ ≥ 48°        H1: μ < 48°

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.

6. Carter Motor Company claims that its new sedan, the Libra, will average better than 32 miles per gallon in the city. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.
   1. There is not sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.
   2. There is not sufficient evidence to support the claim that the mean is less than 32 miles per gallon.
   3. There is sufficient evidence to support the claim that the mean is less than 32 miles per gallon.
   4. There is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.

Answer 1

The null hypothesis is

H₀: p = 0.50

Option a) is correct

Ha = k can not be a alternative hypothesis as Null hypothesis has equality

Option a) is correct

Find the number of successes x suggested by the given statement.

The number of success is

So the number of success is 106

Option a) is correct

The value of test static is

Option d) is correct

The null and the alternative hypothesis are

H0: μ = 48°        H1: μ ≠ 48°

Option a) is correct

There is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon

option d) is correct