Question

Identify the null and alternative hypothesis(in symbolic and sentence form), test statistic, P-value(or critical values), conclusion about the null hypothesis, and final conclusion that addresses the original claim(Don’t just say Reject the null hypothesis or fail to reject the null hypothesis). If you used the calculator, identify everything mentioned above in addition to which calculator functions and inputs for each field were used.

Listed below are the numbers of words spoken in a day by each member of six different couples. The data are randomly selected. Use a 0.05 significance level to test the claim that among couples, males speak more words in a day than females.

Males	5638	21,319	17,572	26429	46,978	25,835
Females	5198	11,661	19,624	13,397	31,553	18,667
Difference

Answer 1

Solution: The null and alternative hypotheses are:

Null hypothesis: There is no difference in the mean value of differences between the males and females

Alternative hypothesis: The mean value of the differences is greater than 0

The test statistic is:

Conclusion about the null hypothesis: Since the p-value is less than the significance level, we, therefore, reject the null hypothesis.

final conclusion: Since the null hypothesis is rejected, therefore, there is sufficient evidence to support the claim that among couples, males speak more words in a day than females.