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Determine the null hypothesis and the alternate hypothesis: ********************

ID: 2947330 • Letter: D

Question

Determine the null hypothesis and the alternate hypothesis:

**************************

A Harris Poll conducted October 28, 2008 surveyed 2119 US adults who were asked “when you think of rising health care costs, who do you think is most responsible?” One theory is that 50% of adults blame insurance companies, 10% blame pharmaceutical companies, 10% blame Federal and state governments, 10% blame hospitals, 10% blame physicians, 5% blame some other entity, and 5% are unsure who is most responsible. Actual survey responses follow:

Most Responsible for Rising Health Care Costs

Number Responding

Insurance companies

869

Pharmaceutical companies

339

Government

338

Hospitals

127

Physicians

85

Other entity

128

Not sure

233

Total

2119

At a 0.02 level of significance, do the actual results match the theoretical percentages?

Choose the correct HOand HA statements:

A)

HO :  Distribution of observed frequency percentages for healthcare blame DOES NOT FIT distribution of expected frequency percentages for healthcare blame (?)

HA: Distribution of observed frequency percentages for healthcare blame FITS distribution of expected frequency percentages for healthcare blame

B)

HO : ?expected = ?observed

HA:  ?expected ? ?observed

C)

HO :   Distribution of observed frequency percentages for healthcare blame FITS distribution of expected frequency percentages for healthcare blame

HA: Distribution of observed frequency percentages for healthcare blame DOES NOT FIT distribution of expected frequency percentages for healthcare blame (?)

D)

HO : pexpected = pobserved

HA:  pexpected ? pobserved

The most appropriate hypothesis test to use for this scenario is:

A)

t - test for independent means

B)

one-way ANOVA

C)

?2test for goodness-of-fit

D)

?2test for independence

E)

two population proportion z - test

Most Responsible for Rising Health Care Costs

Number Responding

Insurance companies

869

Pharmaceutical companies

339

Government

338

Hospitals

127

Physicians

85

Other entity

128

Not sure

233

Total

2119

Explanation / Answer

Hypotheses:

HO :   Distribution of observed frequency percentages for healthcare blame FITS distribution of expected frequency percentages for healthcare blame

HA: Distribution of observed frequency percentages for healthcare blame DOES NOT FIT distribution of expected frequency percentages for healthcare blame

Option C is correct.

Appropriate hypotheses: ?2test for goodness-of-fit

Option C is correct.

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