1. 1)H0:=9.5H1: 9.5
2. A) Left-tailed,x
3. 2)
4. H0:p=0.86
5. H1: p > 0.86
6. A) Right-tailed,p

Provide an appropriate response.

B) Two-tailed,x

B) Right-tailed, p

C) Two-tailed,

C) Left-tailed,p

C) explanatory

D) Right-tailed,

D) Left-tailed, p

D) conditional

3) The ______________ hypothesis contains the "=" sign.A) alternative B) null

4) A hypothesis test is a "two-tailed" if the alternative hypothesis contains a _______ sign. A) B) < C) + D) >

5) When the results of a hypothesis test are determined to be statistically significant, then we _______________ the null hypothesis.A) fail to reject B) polarize C) rejectD) compartmentalize

Express the null hypothesis and the alternative hypothesis in symbolic form.

6) An entomologist writes an article in a scientific journal which claims that fewer than 9 in ten thousand male fireflies are unable to produce light due to a genetic mutation.

A)H0: p < 0.0009B)H0: p > 0.0009C)H0: p = 0.0009D)H0: p = 0.0009H1: p 0.0009H1: p 0.0009H1: p < 0.0009H1: p > 0.0009

Provide an appropriate response.

7) In a sample, 76 people or 38% of the people in the sample said that the mayor should be prosecuted for misconduct. people where in the sample?

A) 200 B) 105 C) 29 D) 50

How many

Math 1401 Spring 2020Quiz10

DueMonday 8am4/20

Find the critical value.

8) Determine the critical value for a right-tailed test of a population mean at the = 0.005 level of significance with 28 degrees of freedom.

A) 1.701 B) 2.763C) -2.763 D) 2.771

Provide an appropriate response.

9) Find the critical value for atwo-tailed test with = 0.10.

A) 2.575 B) 1.645 C) 1.96 D) 1.28

10) Suppose you want to test the claim that < 65.4. Given a sample size of n = 35 and a level of significance of = 0.010. When should you rejectH0?

A) RejectH0if the standardized test is less than -1.645.

B) RejectH0if the standardized test statistic is less than -2.575.C) RejectH0if the standardized test statistic is less than -2.33.D) RejectH0if the standardized test statistic is less than -1.28.

11) The mean age of professors at a university is greater than 51.2 years. If a hypothesis test is performed, how should youinterpreta decision that rejects the null hypothesis?

A) There is sufficient evidence to support the claim > 51.2.

B) There is not sufficient evidence to support the claim > 51.2. C) There is sufficient evidence to reject the claim > 51.2.

D) There is not sufficient evidence to reject the claim > 51.2.

12) The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion exceeds 25%, then the lab will scale back a proposed enlargement of its facilities. Suppose 200 business students were randomly sampled and 65 have PC's at home. Find the rejection region for this test using = 0.01.

A)RejectH0ifz>2.575orz<-2.575.B)RejectH0ifz>2.33.C) RejectH0if z = 2.33.D) RejectH0if z < -2.33.

13) The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test isconducted and the test statistic is 2.5. Find thecorresponding p-value for a two-tailed test of thehypothesis.

A) 0.0124 B) 0.4938 C) 0.4876 D) 0.0062

Use the following information to answer question 14:A janitor at a large office building believes that his supply of light bulbs has too many defective bulbs. The janitor's null hypothesis is that the supply of light bulbs has a defect rate of p = 0.07 (the light bulb manufacturer's stated defect rate). Suppose he does a hypothesis test with a significance level of = 0.05. Symbolically, the null andalternative hypothesis are as follows:H0: p = 0.07 and H1: p > 0.07

14) The janitor calculates a p-value for the hypothesis test of approximately 0.087. Choose the correct interpretation for the p-value.

A) The p-value tells us that the probability of concluding that the defect rate is equal to 0.07, when in fact it is greater than0.07, is approximately 0.087.

B) The p-value tells us that if the defect rate is 0.07, then the probability that the janitor will have 27 defective light bulbs out of 300 is approximately 0.087. At a significance level of 0.05, this would not be an unusual outcome.

C) The p-value tells us that the true population rate of defective light bulbs is approximately 0.087.D) None of these

Provide an appropriate response.

15) A survey claims that 9 out of 10 doctors (i.e., 90%) recommend brand Z for their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand Z is less than 90%, a random sample of 100 doctors results in 87 who indicate that they recommend brand Z. The test statistic in this problem is approximately (round to thenearest hundredth):

A) -0.66B) -0.50 C) 1.00D) -1.00