The following 2 questions are based on this information. Census indicates that the proportion of adult women in the United States is 49% (p=0.49).

We plan to take a random sample of 300 U.S. adults.

1)Specify the null and alternative hypotheses.

2)The standard error (SE) of p is

The following 5 questions are based on this information.

In 2017, it was reported that women sent on average 3,000texts per month. It is believed that the number of texts sent has increased. In fact, a recent random sample of 60 women showed that they send an average3,500 texts per month(X=3,500texts)with a sample standard deviation of 600 texts (s=600texts). Assume that the random variable, number of texts sent by women(denoted by X), is normally distributed.

Is this sufficient statistical evidence to show that women are now sending on average more than 3000 texts per month?

1)Specify the null and alternative hypotheses.

2)The standard error (SE) of X is

3)The test statistics value is

4)The p-value is

5)At=0.01 and using the p-value

please show step by step, equations . dumbproof it to the best of your ability

please dont type like this P[ |X(bar)-| <25] =P[ |(X(bar)-)/(/sqrt(n))| <25>