Question

Following to questions answer the following:

- Provide the null and alternative hypotheses with the appropriate symbols.

- The significance level of the test. If it is not given use a significance level of 0.05.

- The P-value for the test. State whether you reject or fail to reject the null hypothesis. In other words, compare the P-value to the significance level to decide whether to reject or fail to reject the null hypothesis.

Question 1:

The body mass index or BMI of an individual is a measure used to judge whether an individual is overweight . A BMI between 20 and 25 indicates a normal weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men and 270 women were normal weight. Using a significance level of 0.10, determine whether there is a difference in the proportion of men compared the proportion of women who are normal weight.

Question 2:

In a Gallup poll, 513 national adults who consider themselves to be Democrat were asked, "Of every tax dollar that goes to the federal government, how many cents of each dollar would you say are wasted?" The sample mean for the Democrats was found to be 41 cents with a sample standard deviation of 2.6 cents. The same question was asked of 513 national adults who consider themselves to be Republican. The sample mean for the Republicans was found to be 54 cents with a standard deviation of 2.9 cents. Use this information to determine if Democrats believe fewer tax dollars are wasted compared to Republicans.

Answer 1