ISLAMIC MUTUAL FUNDS PROMOTIONAL ACTIVITIES: NORMAL APPROXIMATION OF BINOMIAL DISTRIBUTION AND TYPE I ERROR

Mohd Yaziz Bin Mohd Isa

ISLAMIC MUTUAL FUNDS PROMOTIONAL ACTIVITIES: NORMAL APPROXIMATION OF BINOMIAL DISTRIBUTION AND TYPE I ERROR

Mohd Yaziz Bin Mohd Isa

Abstract

The paper applies normal approximation procedure to binomial probability distribution. A sample of 392 respondents are surveyed whether they agree or not agree that promotional activities determined the level of awareness of benefits of Islamic mutual funds. The paper hypothesizes the population mean µ of success effects of promotional activities at 68%, and attempts to reduce Type I error - the probability of rejecting null hypothesis when it is true.

Keywords

Binomial probability distribution, normal probability distribution, Islamic mutual funds.

References

Biswal, Purna Chandra (2009), Probability and Statistics, PHI Learning Private Limited, New Delhi.

Brown, Lawrence D., Cai, T. Tony & DasGupta, Anirban (2001), Interval Estimation for Binomial Proportion, Statistical Science, Vol. 16(2), pp. 101-133.

Chartrand, T. L. (2005). The role of conscious awareness in consumer behavior. Journal of Consumer Psychology, Vol. 15(3), pp. 203-210.

Coulter, R. A., Price, L. L., Feick, L., & Micu, C. (2005). The evolution of consumer knowledge and sources of information: Hungary in transition. Journal of the Academy of Marketing Science, Vol. 33(4), pp. 604-619.

Dommeyer, C. J., & Gross, B. L. (2003). What consumers know and what they do: An investigation of consumer knowledge, awareness, and use of privacy protection strategies. Journal of Interactive Marketing, Vol. 17(2), pp. 34-51.

Donoghue, S. & De Klerk, H. M. (2009). The right to be heard and to be understood: a conceptual framework for consumer protection in emerging economies. International Journal of Consumer Studies, Vol. 33(4), pp. 456-467.

Hartlieb, S., & Jones, B. (2009). Humanising business through ethical labelling: Progress and paradoxes in the UK. Journal of Business Ethics, Vol. 88(3), pp. 583-600.

Lind, Douglas A., Marchal, William G. & Wathen, Samuel A. (2015), Statistical Techniques in Business & Economics, Sixteenth edition, New York, NY, McGraw Hill Education.

McEachern, M. G., & Warnaby, G. (2008). Exploring the relationship between consumer knowledge and purchase behaviour of value‐based labels. International Journal of Consumer Studies, Vol. 32(5), pp. 414-426.

Ramsey Phillip H. & Ramsey Patricia P. (1988), Evaluating the Normal Approximation to the Binomial test, Journal of Educational and Behavioral Statistics, Vol. 13, (2), pp. 173-182.

Selvanathan Anthony, Selvanathan Saroja, Keller Gerald & Warrack Brian (2000), Australian Business Statistics, Nelson Thomson Learning, South Melbourne Victoria, Australia.

Thomas, L., & Mills, J. E. (2006). Consumer knowledge and expectations of restaurant menus and their governing legislation: a qualitative assessment. Journal of Foodservice, Vol. 17(1), pp. 6-22.

Triola Mario F. (2017), Elementary Statistics, Thirteen edition, Pearson Addison Wesley, Boston, USA

Yusuff, Noraini & Mansor, Fadillah (2014), Proposed Model for the Factors Influencing Muslim Investors in Choosing Islamic Unit Trust Funds. Journal of Global Business and Social Entrepreneurship (GBSE) Vol. 1, (2), pp. 113-120.

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DOI: 10.15408/aiq.v11i1.9592