. Dementia is a common mental health problem affecting those over 65. It is believed that of those that have dementia, 31% worsen in mental cognition. Acetyl-l-carnitine (ALC) is a drug that is used to determine if it will be beneficial with those with dementia. In a clinical trial, 98 patients are given the drug and their cognition is observed. Of the 98 patients, only 28 worsened. Construct a test to determine whether ALC decreased the proportion of patients who worsen from dementia. a) State the null and alternative hypotheses. b) Find the test statistic. Round to two decimal places. c) Find the p-value. Round to four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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5. Dementia is a common mental health problem affecting those over 65. It is believed that
of those that have dementia, 31% worsen in mental cognition. Acetyl-l-carnitine (ALC) is
a drug that is used to determine if it will be beneficial with those with dementia. In a
clinical trial, 98 patients are given the drug and their cognition is observed. Of the 98
patients, only 28 worsened. Construct a test to determine whether ALC decreased the
proportion of patients who worsen from dementia.
a) State the null and alternative hypotheses.
b) Find the test statistic. Round to two decimal places.
c) Find the p-value. Round to four decimal places.
Transcribed Image Text:5. Dementia is a common mental health problem affecting those over 65. It is believed that of those that have dementia, 31% worsen in mental cognition. Acetyl-l-carnitine (ALC) is a drug that is used to determine if it will be beneficial with those with dementia. In a clinical trial, 98 patients are given the drug and their cognition is observed. Of the 98 patients, only 28 worsened. Construct a test to determine whether ALC decreased the proportion of patients who worsen from dementia. a) State the null and alternative hypotheses. b) Find the test statistic. Round to two decimal places. c) Find the p-value. Round to four decimal places.
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