You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.26. You use a significance level of α=0.10α=0.10.       H0:p=0.26H0:p=0.26       H1:p<0.26H1:p<0.26 You obtain a sample of size n=132n=132 in which there are 21 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =  What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =  The p-value is..

Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.

You want to see if a card dealer is favoring one suit over another. You observe the dealer pick a card, put it back in the deck, shuffle, and then repeat the process 288 times. The results are displayed in the table below.  Use an αα = 0.10 significance level. outcome frecuency expected frequency spades 48   hearts 72   diamonds 87   clubs 81     The degrees of freedom = ______ The test-statistic for this data =______(3 decimal places) The p-value for this sample =-________( four decimal places.)   The p-value is ______α   Based on this, we should_______   Thus, the final conclusion is... There is insufficient evidence to conclude that the distribution of suits is not uniform. There is insufficient evidence to conclude that suits and cards are dependent. There is sufficient evidence to conclude that the distribution of suits is uniform. There is sufficient evidence to conclude that suits and cards are dependent. There is sufficient evidence to conclude that the…