GUIDED PRACTICE 8.6One of the questions on the National Health and Nutrition Examination Survey (introduced in Chapter 5) asked participants whether they participated in moderate or vigorous intensity sports, fitness, or recreational activities. In a random sample of 135 adults, 76 answered "Yes" to the question. Based on this evidence, are a majority of American adults physically active? (majority means >50%). (use =0.05)

Use, p_o= 0.50, n= 135, and X= 76

(a)Write the null and alternate hypothesis

(b)Calculate n*p_o and n*(1- p_o) check if both are 10

(c)Minitab> Stat>Basic Statistics> 1 Proportion> Summarized Data> No. of events> 76>No. of trials >135>Perform Hypothesis Test> Click >Hypothesized proportion> 0.50> Options> Alternative hypothesis>select>proportion >hypothesized proportion Method>Normal approximation>OK>OK

Copy Minitab output below:

(d)Based on the Minitab output:

Z-value=______________p-value=____________________

(e)Is the p-value less than 0.05?

(f) Based on the p-value what is our decision regarding the null hypothesis?

(g)Do we have sufficient evidence in support of the statement that the majority of the American adults are physically active?