10.2

7.

  1. 2.31.
  2. 0.0104.
  3. Reject the null hypothesis.

9.

  1. -0.74.
  2. 0.2296.
  3. so not reject the null hypothesis.

11.

  1. -1.49.
  2. 0.1362
  3. do not reject the null hypothesis.

13.

Approximately 27 out of 100 samples will give a sample proportion equal or higher than the one if the population proportion is in fact 0.5. We do not have enough information to conclude whether the dart picking strategy resulted in a majority of winners, so we do not reject the null hypothesis.

15.

  1. p hat = 0.472.

Ho: p=0.5.

H1: p<0.5.

  1. np(1-p)=169.5 > 10 n>0.5N

  2. Skip

  3. 0.0721.

  4. If the true proportion of correct predictions is 0.5, approximately 7 samples would result in a sample proportion of correct predictions of 0.472 or less.

  5. P value > level of significance, so do not reject the null hypothesis.

17.

  1. Test statistic = 0.65 Critical value = 2.33

  2. 0.65<2.33 so we don’t reject the null hypothesis.

19.

  1. P value = 0.0036

  2. 0.0036< level of significance 0.05, so we reject the null hypothesis.