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

10.1

9.

Right tailed, mu.

10.

Left-tailed proportion

11.

Two tailed, sigma

12.

Right-tailed, proportion

13.

Left-tailed,mu

14.

Two-tailed, sigma

15.

Ho: p = 0.105

H1: p > 0.105

17.

Ho: m = $218,600

H1: m = $218,600

19.

Ho: standard deviation = 0.7 psi

H1: standard deviation < 0.7 psi

21.

Ho: m = $47.47 psi

H1: m ≠ $47.47 psi

10.2

7.

  1. np(1-9) is greater than or equal to 10. 200(0.3)(1-0.3) = 42 42 > 10
  2. pvalue = 0.0104
  3. The null hypothesis would be rejected

9.

  1. 150(0.55)(1-0.55) is greater than or equal to 10 37.125 > 10
  2. pvalue = 0.2296
  3. The null hypothesis would be accepted

11.

  1. 500(0.9)(1-0.9) is greater than or equal to 10 45 > 10
  2. pvalue = 0.1362
  3. The null hypothesis would be accepted.

13.

The Pvalue (0.2743) represents the sample proportion if the population proportion is 0.5. We do not reject the null hypothesis, because there is not sufficient enough evidence.

15.

  1. pvalue = 0.2578

  2. The pvalue represents the probability that 1.9% of patients taking competing drugs complain of flulike symptoms. Therefore we accept the alternative hypothesis.

17.

  1. pvalue = 0.1379

  2. The null hypothesis would not be rejected, because there is not enough evidence to show that a majority of adults in the United States believe they will not have enough money to live comfortably in retirement.

19.

  1. pvalue = .0047

  2. Yes, there is significant evidence that basic mathematics skills are critical to employed adults in the United States. The null hypothesis will be rejected at the 0.05 level.