Question

In: Statistics and Probability

The proportion of basketball players who have not had a missed shot in MBA last year...

The proportion of basketball players who have not had a missed shot in MBA last year is 27 out of a sample of top 60 players.

(5 marks)

Hint: The standard deviation of population and the standard deviation of the sample are unknown, thus you have to use the square root of p(1-p)/n as a best estimate of the standard deviation.

Test the hypothesis that the population proportion of basketball players who have not had a missed shot in MBA last year is greater than 0.42 using the critical value approach and a 0.05 level of significance.

Test the hypothesis that the population proportion of customers who are completely satisfied is different from 0.5 using the p-value approach and a 0.05 level of significance

Expert Solution

Given : n=60 , X=27

The estimate of the sample proportion is ,

a.

The null and alternative hypothesis is ,

The test is one-tailed test.

The test statistic is ,

The critical value is ,

; From Z-table

Decision : Here , the value of the test statistic does not lies in the rejection region.

Therefore , fail to reject Ho.

Conclusion : There is not sufficient evidence to support the claim that the population proportion of basketball players who have not had a missed shot in MBA last year is greater than 0.42.

b.

The null and alternative hypothesis is ,

The test is two-tailed test.

The test statistic is ,

The p-value is ,

p-value=

; From Z-table

Decision : Here , p-value > 0.05.

Therefore , fail to reject Ho.

Conclusion : There is not sufficient evidence to support the claim thatthe population proportion of customers who are completely satisfied is different from 0.5.

orchestra answered 1 year ago

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