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4. (20 marks) A director of a small psychotherapy clinic is wondering whether there is any difference in the use of the clinic during two
4. (20 marks) A director of a small psychotherapy clinic is wondering whether there is any difference in the use of the clinic during two seasons of the year (summer and winter) and by gender (male and female). Last year, there were 33 new male clients in the winter and 28 in the summer. There were 51 new female clients in the winter and 16 in the summer (see Table 4). On the basis of last year's data, should the director conclude that there is a difference in new clients by the season depending on whether the client is male or female? Use the alpha of 0.05 and carry out all the steps of hypothesis testing to answer the hypothesis. Table 4. Number of new clients to a psychotherapy clinic by season and gender SEASON GENDER Summer Winter Male 28 33 Female 16 51
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