5:39 M @ 54%1


5:39 M<br>@ 54%1<br>< University of Guyana.. L Q :<br>1/3<br>6. Explain the difference between the observed and expected frequencies for a goodness-of-<br>fit test. How is the expected frequency of a category calculated for a goodness-of-fit test?<br>What are the degrees of freedom for such a test?<br>7. To make a goodness-of-fit test, what should be the minimum expected frequency for each<br>category? What are the alternatives if this condition is not satisfied?<br>8. The following table lists the frequency distribution for 60 rolls of a die.<br>Outcome<br>1-spot<br>2-spot<br>| 3-spot<br>4-spot<br>5-spot<br>6-spot<br>Frequency<br>12<br>8<br>15<br>11<br>Test at the 5% significance level whether the null hypothesis that the given die is fair is true.<br>9. In June 2009, the Gallup-Healthways Well-Being Index (well-beinginde x.com) reported<br>that 49% of Americans exercise for 30 minutes or more on 2 or fewer days per week,<br>24% exercise for 30 minutes or more on 3 or 4 days per week, and 27% exercise for 30<br>minutes or more on 5 or more days per week. Assume that the Gallup-Healthways results<br>were true for the June 2009 population of Americans. Suppose a recent random sample of<br>458 Americans produced the following results.<br>Exercise frequency<br>2 or fewer days a<br>3 or 4 days a week<br>5 or more a week<br>week<br>days<br>Number of people<br>197<br>121<br>140<br>Test at the 10% significance level whether the current distribution of exercise frequency differs<br>from that of June 2009.<br>10. Describe in your own words a test of independence and a test of homogeneity. Give one<br>example of each<br>2/3<br>11. Consider the following contingency table, which is based on a sample survey.<br>II<br>

Extracted text: 5:39 M @ 54%1 < university="" of="" guyana..="" l="" q="" :="" 1/3="" 6.="" explain="" the="" difference="" between="" the="" observed="" and="" expected="" frequencies="" for="" a="" goodness-of-="" fit="" test.="" how="" is="" the="" expected="" frequency="" of="" a="" category="" calculated="" for="" a="" goodness-of-fit="" test?="" what="" are="" the="" degrees="" of="" freedom="" for="" such="" a="" test?="" 7.="" to="" make="" a="" goodness-of-fit="" test,="" what="" should="" be="" the="" minimum="" expected="" frequency="" for="" each="" category?="" what="" are="" the="" alternatives="" if="" this="" condition="" is="" not="" satisfied?="" 8.="" the="" following="" table="" lists="" the="" frequency="" distribution="" for="" 60="" rolls="" of="" a="" die.="" outcome="" 1-spot="" 2-spot="" |="" 3-spot="" 4-spot="" 5-spot="" 6-spot="" frequency="" 12="" 8="" 15="" 11="" test="" at="" the="" 5%="" significance="" level="" whether="" the="" null="" hypothesis="" that="" the="" given="" die="" is="" fair="" is="" true.="" 9.="" in="" june="" 2009,="" the="" gallup-healthways="" well-being="" index="" (well-beinginde="" x.com)="" reported="" that="" 49%="" of="" americans="" exercise="" for="" 30="" minutes="" or="" more="" on="" 2="" or="" fewer="" days="" per="" week,="" 24%="" exercise="" for="" 30="" minutes="" or="" more="" on="" 3="" or="" 4="" days="" per="" week,="" and="" 27%="" exercise="" for="" 30="" minutes="" or="" more="" on="" 5="" or="" more="" days="" per="" week.="" assume="" that="" the="" gallup-healthways="" results="" were="" true="" for="" the="" june="" 2009="" population="" of="" americans.="" suppose="" a="" recent="" random="" sample="" of="" 458="" americans="" produced="" the="" following="" results.="" exercise="" frequency="" 2="" or="" fewer="" days="" a="" 3="" or="" 4="" days="" a="" week="" 5="" or="" more="" a="" week="" week="" days="" number="" of="" people="" 197="" 121="" 140="" test="" at="" the="" 10%="" significance="" level="" whether="" the="" current="" distribution="" of="" exercise="" frequency="" differs="" from="" that="" of="" june="" 2009.="" 10.="" describe="" in="" your="" own="" words="" a="" test="" of="" independence="" and="" a="" test="" of="" homogeneity.="" give="" one="" example="" of="" each="" 2/3="" 11.="" consider="" the="" following="" contingency="" table,="" which="" is="" based="" on="" a="" sample="" survey.="">
5:38 M<br>@ 54%1<br>< University of Guyana.. E Q :<br>from that of June 2009.<br>10. Describe in your own words a test of independence and a test of homogeneity. Give one<br>example of each<br>2/3<br>11. Consider the following contingency table, which is based on a sample survey.<br>Column 1<br>137<br>98<br>|Column 2<br>Column 3<br>105<br>65<br>115<br>Row 1<br>Row 2<br>64<br>71<br>Row 3<br>115<br>81<br>a. Write the null and alternative hypotheses for a test of independence for this table.<br>b. Calculate the expected frequencies for all cells, assuming that the null hypothesis is true.<br>c. For a= .01, find the critical value of X². Show the rejection and nonrejection regions on the<br>chi-square distribution curve.<br>d. Find the value of the test statistic X2.<br>e. Using a= .01, would you reject the null hypothesis?<br>12. Explain the meaning of independent and dependent variables for a regression model.<br>13.A car rental company charges $50 a day and 20 cents per mile for renting a car. Let y be the<br>total rental charges (in dollars) for a car for one day and x be the miles driven. The equation for<br>the relationship between x and y is<br>Y=50 +.20x<br>a. How much will a person pay who rents a car for one day and drives it 100 miles?<br>b. Suppose each of 20 persons rents a car from this agency for one day and drives it 100 miles.<br>Will each of them pay the same amount for renting a car for a day or do you expect each person<br>to pay a different amount? Explain.<br>c. Is the relationship between x and y exact or nonexact?<br>3/3<br>II<br>

Extracted text: 5:38 M @ 54%1 < university="" of="" guyana..="" e="" q="" :="" from="" that="" of="" june="" 2009.="" 10.="" describe="" in="" your="" own="" words="" a="" test="" of="" independence="" and="" a="" test="" of="" homogeneity.="" give="" one="" example="" of="" each="" 2/3="" 11.="" consider="" the="" following="" contingency="" table,="" which="" is="" based="" on="" a="" sample="" survey.="" column="" 1="" 137="" 98="" |column="" 2="" column="" 3="" 105="" 65="" 115="" row="" 1="" row="" 2="" 64="" 71="" row="" 3="" 115="" 81="" a.="" write="" the="" null="" and="" alternative="" hypotheses="" for="" a="" test="" of="" independence="" for="" this="" table.="" b.="" calculate="" the="" expected="" frequencies="" for="" all="" cells,="" assuming="" that="" the="" null="" hypothesis="" is="" true.="" c.="" for="" a=".01," find="" the="" critical="" value="" of="" x².="" show="" the="" rejection="" and="" nonrejection="" regions="" on="" the="" chi-square="" distribution="" curve.="" d.="" find="" the="" value="" of="" the="" test="" statistic="" x2.="" e.="" using="" a=".01," would="" you="" reject="" the="" null="" hypothesis?="" 12.="" explain="" the="" meaning="" of="" independent="" and="" dependent="" variables="" for="" a="" regression="" model.="" 13.a="" car="" rental="" company="" charges="" $50="" a="" day="" and="" 20="" cents="" per="" mile="" for="" renting="" a="" car.="" let="" y="" be="" the="" total="" rental="" charges="" (in="" dollars)="" for="" a="" car="" for="" one="" day="" and="" x="" be="" the="" miles="" driven.="" the="" equation="" for="" the="" relationship="" between="" x="" and="" y="" is="" y="50" +.20x="" a.="" how="" much="" will="" a="" person="" pay="" who="" rents="" a="" car="" for="" one="" day="" and="" drives="" it="" 100="" miles?="" b.="" suppose="" each="" of="" 20="" persons="" rents="" a="" car="" from="" this="" agency="" for="" one="" day="" and="" drives="" it="" 100="" miles.="" will="" each="" of="" them="" pay="" the="" same="" amount="" for="" renting="" a="" car="" for="" a="" day="" or="" do="" you="" expect="" each="" person="" to="" pay="" a="" different="" amount?="" explain.="" c.="" is="" the="" relationship="" between="" x="" and="" y="" exact="" or="" nonexact?="" 3/3="">

Jun 02, 2022
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