In a study designed to see whether a controlled diet could retard the process of arteriosclerosis, a total of 846 randomly chosen persons were followe

Ayaana Buck 2021-01-30 Answered
In a study designed to see whether a controlled diet could retard the process of arteriosclerosis, a total of 846 randomly chosen persons were followed over an eight year period. Half were instructed to eat only certain foods, the other half could eat whatever they wanted. At the end of eight years, sixty-six persons in the diet group were found to have died of either myocardial infarction or cerebral infarction, as compared to ninety-three deaths of a similar nature in the control group. Do the appropriate analysis. Let α=0.05
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Faiza Fuller
Answered 2021-01-31 Author has 108 answers
Given:
x1=66
n1=8462=423
x2=93
n2=8462=423
α=0.05
The sample proportion is the number of successes divided by the sample size:
p^1=x1n1=664230.1560
p^2=x2n2=934230.2199
p^p=x1+x2n1+n2=66+93423+4230.1879
Claim: Diet retards the process
The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis and the alternative hypothesis state the opposite of each other. The null hypothesis needs to contain an equality.
H0:p1=p2
Ha:p1<p2
The critical values are the values corresponding to a probability of α=0.05 in the normal probability table in the appendix:
z=1.645
The rejection region then contains all values below -1.645.
Determine the value of the test statistic:
z=p^1p^2p^p(1p^p)1n1+1n2=0.15600.21990.1879(10.1879)1423+14232.379
If the value of the test statistic is within the rejection region, then the null hypothesis is rejected:
2.379<1.645Reject H0
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-01-10
A group of 125 truck owners were asked what brand of truck they owned and whether or not the truck has four-wheel drive. The results are summarized in the two-way table below. Suppose we randomly select one of these truck owners.
 Four-wheel drive No four-wheel drive  Ford 2817 Chevy 3218 Dodge 2010
What is the probability that the person owns a Dodge or has four-wheel drive?
(a)2080
(b)20125
(c)80125
(d)90125
(e)110125
asked 2020-12-21

A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think are the chances you will have much more than a middle-class income at age 30?" The two-way table summarizes the responses.
 Female  Male  Total  Almost no chance 9698194 Some chance but   probably not 426286712 A 50-50 chance 6967201416 A good chance 6637581421 Almost certain 4865971083 Total 236724594826
Choose a survey respondent at random. Define events G: a good chance, M: male, and N: almost no chance. Find P(CM). Interpret this value in context.

asked 2021-05-05

The two-way table summarizes data on whether students at a certain high school eat regularly in the school cafeteria by grade level.

Grade Eat in cafeteria9th10th11th12th Total  Yes 13017512268495 No 183488170310 Total 148209210238805

If you choose a student at random who eats regularly in the cafeteria, what is the probability that the student is a 10th-grader?

asked 2021-08-13

The General Social Survey (GSS) asked a random sample of adults their opinion about whether astrology is very scientific, sort of scientific, or not at all scientific. Here is a two-way table of counts for people in the sample who had three levels of higher education:
 Associate's  Bachelor's  Master's  Total  Not al all  scientific 169256114539 Very or sort  of scientific 656518148 Total 234321132687
State appropriate hypotheses for performing a chi-square test for independence in this setting.

asked 2021-05-01

A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these individuals by whether or not they had arthritis of the hip or knee by their mid-fifties: Soccer level Ellte  Non-elite  Did not play  Whether person  Yes 10924 developed arthritis  No 61206548 Researchers suspected that the more serious soccer players were more likely to develop arthritis later in life. Do the data confirm this suspicion? Calculate appropriate percentages to support your answer.

asked 2021-05-13
How can you use a two-way table to determine probabilities?
asked 2021-05-08
How can you read and make a two-way table?