Question

Exercise 1

The table below shows results from the New Mexico Behavioral Risk Factor Surveil-

lance System (BRFSS), an annual survey conducted by telephone. Data are shown

for the years 2011 and 2015. Each year represents a different random sample. The

results below indicate the sample size and number of people who reported that they

have been diagnosed with diabetes.

Year | yes | no | total |

2011 | 1189 | 8135 | 9324 |

2015 | 908 | 5617 | 6525 |

Conduct a hypothesis test of whether there was a difference in the proportion of New

Mexicans with diabetes between 2011 and 2015. When conducting the hypothesis

test, be sure to

1. State the null and alternative hypotheses

2. Calculate the test statistic

3. Report the p-value for the test statistic

4. State your conclusion in words

Answer #1

we have p1 = (1189/9324) = 0.13

and p2 = (908/6525) = 0.14

n1 =9324 and n2 = 6525

(1) Null hypothesis:- there is no significant difference between the two proportions

Alternate hypothesis:- there is significant difference between the two proportions

(2)we have the following formula test statistic

z=

setting the given values, we get

z=

this gives us z=

(3) Using standard normal distribution, the p value corresponding to the z score of -1.81 is

p value= 0.0703

(4) since the p value is greater than 0.05 significance level, so we can say that the p value is significant and we fail to reject the null hypothesis

thus, we can say that we have insufficient evidence to support the claim that there is significant difference between the means.

Table 1 below shows results obtained
in a new screening test for diabetes. 10,000 people were screened.
The cut-off level employed was 180mg of blood glucose per 100 ml.
Everyone scoring above this level was classified as positive for
diabetes. Everyone scoring below this level was classified as
negative for diabetes. These results were compared to a “gold
standard” test for diabetes that is considered to be completely
valid. Compute and interpret the sensitivity, specificity, positive
predictive value (PPV) and...

The display provided from technology available below results
from using data for a smartphone carrier's data speeds at airports
to test the claim that they are from a population having a mean
less than
4.00
Mbps. Conduct the hypothesis test using these results. Use a
0.05
significance level. Identify the null and alternative
hypotheses, test statistic, P-value, and state the final
conclusion that addresses the original claim.
LOADING...
Click the icon to view the display from technology.
Assuming all conditions...

6. When analyzing survey results from a two way table, the main
distinction between a test of independence and a test for
homogeneity is:
A.
How the degrees of freedom are calculated
B.
how the expected counts are calculated
C.
the number of samples obtained
D.
the number of rows in the two way table
E.
the number of columns in the two way table.
7. A controversial issue in the sport of professional soccer is
the use of instant...

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