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    Mental Health Classification

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    1. A study was conducted that examined the relationship between mentah-health classification and thoughts of suicide. The mental health of each person in a sampl of 295 was classified as normal, mild psychiatric illness or severe psychiatric illness. Also, each person was asked: "Have you recently found that the idea of taking your own life kept coming into your mind?" Following are the results.

    Mental Health
    Normal Mild
    Illness Severe
    Illness Total
    Response Definitely
    not 90 43 34 167
    Don't think
    so 5 18 8 31
    Crossed
    my mind 3 21 21 45
    Definitely
    yes 1 15 36 52
    Total 99 97 99 295

    Is there evidence that response to the suicide question and mental-health classification are independent? Perform the required hypothesis test at the 0.05 level of significance?

    2. A researcher decided to compare the theoretical distribution of M&M candy colors to a sample of three randomly selected bags of the candy. The theoretical distribution is
    Color Percentage
    Brown 30
    Yellow 20
    Red 20
    Orange 10
    Green 10
    Blue 10

    From the three bags of candy purchased from different stores, the distribution of the colors was
    Color Frequency
    Brown 152
    Yellow 114
    Red 106
    Orange 51
    Green 43
    Blue 43

    Does the data indicate that the color distribution of M&Ms is the same as the distribution claimed by the company? Use the 0.05 level of significance.

    3. A poll was taken to determine the feelings of voters toward instituting regional (vice state) primary elections for presidential candidates. Voters were asked to state a party affiliation and express their opinion on regional primaries. The results are below.

    Response
    Good Idea Poor Idea No Opinion Total
    Affiliation Rep 266 266 186 718
    Dem 308 251 176 735
    Ind 28 27 21 76
    Total 602 544 383 1529

    At the 0.05 level of significance, do the data suggest that the opinions of voters on the issue of regional primaries are associated with political affiliation

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    https://brainmass.com/statistics/hypothesis-testing/mental-health-classification-18702

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    Please refer to the attachment.

    these are questions of CHI square test for independence and goodness of fitness.

    1. A study was conducted that examined the relationship between mental-health classification and thoughts of suicide. The mental health of each person in a sample of 295 was classified as normal, mild psychiatric illness or severe psychiatric illness. Also, each person was asked: "Have you recently found that the idea of taking your own life kept coming into your mind?" Following are the results.

    Mental Health
    Normal Mild
    Illness Severe
    Illness Total
    Response Definitely not 90 43 34 167
    Don't think so 5 18 8 31
    Crossed my mind 3 21 21 45
    Definitely yes 1 15 36 52
    Total 99 97 99 295

    Is there evidence that response to the suicide question and mental-health classification are independent? Perform the required hypothesis test at the 0.05 level of significance?

    Create a table of cell frequencies.
    The first step in computing the chi square test of independence is to compute the expected frequency for each cell under the assumption that the null hypothesis is true. To calculate the expected frequency of the first cell in the example (experimental condition, graduated), first calculate the proportion of subjects that graduated without considering the condition they were in. The table shows that of the 295 subjects in the experiment, 99 have Normal Mental Health. Therefore, the proportion is 99/295. If the null hypothesis were true, the expected frequency for the first cell would equal the product of the number of people in the experimental ...

    Solution Summary

    The significance levels for mental health classifications are provided. Political affiliation issues are determined.

    $2.19

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