Note: \(\mu\) \(\sigma\)

10.1

9.

Right-tailed

10.

Left-tailed

11.

Z-tailed

12.

Right-tailed

13.

Left-tailed

14.

Z-tailed

15.

Ho: P = 10.5

H1: P>10.5

16.

Ho: p = $17,072

H1: P =/ $17,072

17.

Ho: P = 218,600

H1: P < 218,600

18.

Ho: P = 32

H1: P < 32

19.

Ho: P = .7 psi

H1: P < .7psi

20.

Ho: P = .0196

H1: P > .0196

21.

Ho: P = 47.47

H1: P =/ 47.47

10.2

7.

  1. Classical approach; z= 2.31 > z.05 = 1.645; reject null hypothesis
  2. P-value approach = .0104 < alpha = .05; reject the null. There is no evidence at the alpha = .05 level to reject the null
  3. Do not reject the null

9.

  1. Classical approach; z = -.74 ? -z.10 = -1.28. Do not reject the null
  2. P-value approach = .2296 > alpha = .10 do not reject the null
  3. Do not reject the null

11.

  1. z = -1.49
  2. P-value = .1362
  3. Do not reject the null hypothesis

13.

Approximately 27/100 samples will provide a sample proportion as high or higher than if the sample from the population proportion was .5. We do not reject the null and there is not enough evidence to show if the strategy resulted in many winners

15.

  1. Classical approach = z = .65 < z.01 = 2.33

  2. .2578

17.

  1. H0: p = .5; classical approach: z = 1.09 < z.05 = 1.645; p-value .1379; which means that we reject the null hypothesis

  2. There is not sufficient evidence to conclude that a majority of adults in the U.S. believe they will nto have enough money in retirement.

19.

  1. Classical approach z = 2.60 > z.05 = 1.645, which means that we would reject the null hypothesis; the P- value appraoch .0047 < alpha = .05 (also reject)

  2. There is sufficient evidence at the alpha = .05 level of significance to support the claim that the proportion of adults who feel basic math is essential to their job is greater than .56.