Are people born in certain seasons more likely to be allergic to dust mites? Research suggests this might be true. The table below gives the birth seasons of 500 randomly selected people who are allergic to dust mites, along with the expected proportion of people born in each season. Do these data provide convincing evidence that people who suffer from this allergy have a different birth season distribution? Birth Season Numbers of allergy sufferers Proportion of biths in general population Winter 1170.30 Spring 1050.22 Summer 1450.24 Fall 1330.24

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Are people born in certain seasons more likely to be allergic to dust mites? Research suggests this might be true. The table below gives the birth seasons of 500 randomly selected people who are allergic to dust mites, along with the expected proportion of people born in each season. Do these data provide convincing evidence that people who suffer from this allergy have a different birth season distribution? Birth Season  Numbers of allergy sufferers  Proportion of biths in general population  Winter 1170.30 Spring 1050.22 Summer 1450.24 Fall 1330.24

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Hypothesis testing is conducted for the parameters of the population like population mean, population standard deviation and so on. It is to check whether he sample values conforms to the pre stated parameter values of the original distribution or not. There are various test that are used while conducting the hypothesis testing. These are:1.z test2.t test3. F test4. Chi-square test.The chi square test could be classified as:1. Chi-square test for independence .2. Chi-square test for goodness of fit3. Chi-square test for homogeneityThe Chi-Square Test of Independence is mainly used to check whether there is an association between categorical or qualitative variables that is whether the variables are independent or related (dependent) or not.The formula to compute the test statistic for chi-square test of independence is:χ2=∑(O−EE)2Here,χ2= Chi square test statisticO=Observed frequencyE=Expected frequency∑= SummationThe hypothesis:H0: There is no difference in the proportions of people born in different seasonHα:There is a difference in the proportions of people born in different seasonThe calculation for the test statistic is done as:OE(O-E)(O-E)2E117150-337.260105110-50.227145120255.208133120131.408The test statistic is:χ2=7.260+0.227+5.208+1.408=14.10The test statistic is 14.10.The degree of freedom is:df=Number of categories-1=4-1=3The p-value is 0.003.Here, p-value &amp;lt; assumed significance level (0.05). The null hypothesis is rejected.Hence, we can conclude that there is a difference in the distribution of proportion.

Are people born in certain seasons more likely

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